ORIGINAL_ARTICLE
Axial and Transverse Vibration of SWBNNT System Coupled Pasternak Foundation Under a Moving Nanoparticle Using Timoshenko Beam Theory
In this study, a semi analytical method for transverse and axial vibration of single-walled boron nitride nanotube (SWBNNT) under moving a nanoparticle is presented. The surrounding elastic medium as Pasternak foundation and surface stress effect are included in the formulations of the proposed model. Using Timoshenko beam theory (TBT), Hamilton’s principle and nonlocal piezoelasticity theory, the higher order governing equation is derived. The influences of surface stress effects, spring and shear parameters of Pasternak foundation and aspect ratio are also investigated on the free and forced vibration behavior of SWBNNT under moving a nanoparticle. Through an inclusive parametric study, the importance of using surrounding elastic medium in decrease of normalized dynamic deflection is proposed. It is demonstrated that the values of shear modulus have significant role on the vibration behavior of SWBNNT. The influences of surface stresses on the amplitude of normalized dynamic deflection are also discussed. The output result's of this study has significant influences in design and production of micro electro mechanical system (MEMS) and nano electro mechanical system (NEMS) for advanced applications.
http://jsm.iau-arak.ac.ir/article_515346_7e1fa06790e3ce1d3de705f86177ad92.pdf
2015-09-30T11:23:20
2020-06-03T11:23:20
239
254
Axial and transverse vibration
SWBNNT
Nanoparticle
Piezoelastic theory
Pasternak foundation
Surface stress effect
A
Ghorbanpour Arani
aghorban@kashanu.ac.ir
true
1
Faculty of Mechanical Engineering, University of Kashan---
Institute of Nanoscience & Nanotechnology, University of Kashan
Faculty of Mechanical Engineering, University of Kashan---
Institute of Nanoscience & Nanotechnology, University of Kashan
Faculty of Mechanical Engineering, University of Kashan---
Institute of Nanoscience & Nanotechnology, University of Kashan
LEAD_AUTHOR
A
Karamali Ravandi
true
2
Faculty of Mechanical Engineering, University of Kashan
Faculty of Mechanical Engineering, University of Kashan
Faculty of Mechanical Engineering, University of Kashan
AUTHOR
M.A
Roudbari
true
3
Faculty of Mechanical Engineering, University of Kashan
Faculty of Mechanical Engineering, University of Kashan
Faculty of Mechanical Engineering, University of Kashan
AUTHOR
M.B
Azizkhani
true
4
Faculty of Mechanical Engineering, University of Kashan, Kashan
Faculty of Mechanical Engineering, University of Kashan, Kashan
Faculty of Mechanical Engineering, University of Kashan, Kashan
AUTHOR
A
Hafizi Bidgoli
true
5
Faculty of Mechanical Engineering, University of Kashan, Kashan
Faculty of Mechanical Engineering, University of Kashan, Kashan
Faculty of Mechanical Engineering, University of Kashan, Kashan
AUTHOR
[1] Khodami Maraghi Z., Ghorbanpour Arani A., Kolahchi R., Amir S., Bagheri M.R., 2012, Nonlocal vibration and instability of embedded DWBNNT conveying viscose fluid, Composites: Part B 45(1): 423-432.
1
[2] Simsek M., 2011, Forced vibration of an embedded single-walled carbon nanotube traversed by a moving load using nonlocal Timoshenko beam theory, Steel and Composite Structures 11(1): 59-76.
2
[3] Simsek M., 2010, Vibration analysis of a single-walled carbon nanotube under action of a moving harmonic load based on nonlocal elasticity theory, Physica E 43(1): 182-191.
3
[4] Ghorbanpour Arani A., Roudbari M. A., Amir S., 2012, Nonlocal vibration of SWBNNT embedded in bundle of CNTs under moving a nanoparticle, Physica B 407(17): 3646-3653.
4
[5] Ansari R., Sahmani S., 2011, Bending behavior and buckling of nanobeams including surface stress effects corresponding to different beam theories, International Journal of Engineering and Science 49(11): 1244-1255.
5
[6] Ansari R., Sahmani S., 2011, Surface stress effects on the free vibration behavior of nanoplates, International Journal of Engineering and Science 49(11): 1204-1215.
6
[7] Lei X.W., Natsuki T., Shi J.X., Ni Q.Q., 2012, Surface effects on the vibrational frequency of double-walled carbon nanotubes using the nonlocal Timoshenko beam model, Composites: Part B 43(1): 64-69.
7
[8] Narendar S., Ravinder S., Gopalakrishnan S., 2012, Study of non-local wave properties of nanotubes with surface effects, Computational Materials Science 56:179-184.
8
[9] Ghorbanpour Arani A., Amir S., Shajari A.R., Mozdianfard M.R., Khoddami Maraghi Z., Mohammadimehr M., 2011, Electro-thermal non-local vibration analysis of embedded DWBNNTs, Journal of Mechanical Engineering Science 224: 745.
9
[10] Ghorbanpour Arani A., Amir S., Shajari A.R., Mozdianfard M.R., 2012, Electro-thermo-mechanical buckling of DWBNNTs embedded in bundle of CNTs using nonlocal piezoelasticity cylindrical shell theory, Composites Part B Engineering 43: 195-203.
10
[11] Yang J., 2005, An Introduction to the Theory of Piezoelectricity, Springer, Lincoln.
11
[12] Ghorbanpour Arani A., Kolahchi R., Mosallaie Barzoki A.A., 2011, Effect of material inhomogeneity on electro-thermo-mechanical behaviors of functionally graded piezoelectric rotating cylinder, Applied Mathematical Modeling 35: 2771-2789.
12
[13] Simsek M., 2010, Dynamic analysis of an embedded microbeam carrying a moving microparticle based on the modified couple stress theory, International Journal of Engineering Science 48: 1721-1732.
13
[14] Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics 54: 4703.
14
[15] Bathe K. J., 1982, Finite Element Procedures in Engineering Analysis, Prentice-Hall.
15
[16] Aydogdu M., 2009, A general nonlocal beam theory: Its application to nanobeam bending, buckling and vibration, Physica E 41: 1651-1655.
16
ORIGINAL_ARTICLE
Rayleigh Waves in a Homogeneous Magneto-Thermo Voigt-Type Viscoelastic Half-Space under Initial Surface Stresses
This paper deals with the propagation of magneto-thermo Rayleigh waves in a homogeneous viscoelastic half-space under initial stress. It has been observed that velocity of Rayleigh waves depends on viscosity, magnetic field, temperature and initial stress of the half-space. The frequency equation for Rayleigh waves under the effect of magnetic field, stress and temperature for both viscoelastic and elastic medium is first obtained by using classical theory of thermoelasticity and then computed numerically. The variation of phase velocity of Rayleigh waves with respect to initial hydrostatic stress in viscoelastic and elastic half-space is shown graphically. In the absence of various parameters of the medium, the obtained results are in agreement with classical results given by Caloi and Lockett.
http://jsm.iau-arak.ac.ir/article_515347_b42aa22d1e1a1fc8dfd55d60b2dce24e.pdf
2015-09-30T11:23:20
2020-06-03T11:23:20
255
267
Initial stress
temperature
magnetic field
Rayleigh waves
Voigt-type
Viscoelasticity
R
Kakar
rajneesh.kakar@gmail.com
true
1
Faculty of Engineering & Technology, GNA University, Phagwara, India, 163, Chotti Baradari, Phase-1, Garah Road, Jalandhar-144022, India
Faculty of Engineering & Technology, GNA University, Phagwara, India, 163, Chotti Baradari, Phase-1, Garah Road, Jalandhar-144022, India
Faculty of Engineering & Technology, GNA University, Phagwara, India, 163, Chotti Baradari, Phase-1, Garah Road, Jalandhar-144022, India
LEAD_AUTHOR
[1] Lockett F.J., 1958, Effect of thermal properties of a solid on the velocity of Rayleigh waves, Journal of the Mechanics and Physics of Solids 7(1): 71-75.
1
[2] Caloi P., 1950, Comportement des ondes de Rayleigh dans un milieu firmo-´elastique ind´efini, Publications du Bureau Central Séismologique International: Travaux Scientifiques Série A 17: 89-108.
2
[3] Biot M.A., 1965, Mechanics of Incremental Deformations Theory of Elasticity and Viscoelasticity of Initially Stressed Solids and Fluids, Including Thermodynamic Foundations and Applications to Finite Strain, JohnWiley & Sons, New York.
3
[4] Nowacki W., 1962, Thermoelasticity, Addison-Wesley, London.
4
[5] Addy S.K., Chakraborty N., 2005, Rayleigh waves in a viscoelastic half-space under initial hydrostatic stress in presence of the temperature field, International Journal of Mathematics and Mathematical Sciences 24: 3883-3894.
5
[6] Sethi M., Gupta K.C., Rani M., Vasudeva A.., 2013, Surface waves in homogenous visco-elastic media of higher order under the influence of surface stresses, Journal of the Mechanical Behavior of Materials 22: 185-191.
6
[7] Singh B., Bala K.., 2013, On Rayleigh wave in two-temperature generalized thermoelastic medium without energy dissipation, Applied Mathematics 4(1): 107-112.
7
[8] Vinh P.C., 2009, Explicit secular equations of Rayleigh waves in elastic media under the influence of gravity and initial stress, Applied Mathematics and Computation 215(1): 395-404.
8
[9] Kakar R., Kakar S., 2013, Rayleigh waves in a non-homogeneous, thermo, magneto, prestressed granular material with variable density under the effect of gravity , American Journal of Modern Physics 2(1): 7-20.
9
[10] Abd-Alla A.M., Abo-Dahab S.M., Bayones F.S., 2011, Rayleigh waves in generalized magneto-thermo-viscoelastic granular medium under the influence of rotation, gravity field, and initial stress, Mathematical Problems in Engineering 2011:1-47.
10
ORIGINAL_ARTICLE
Investigation on the Effect of Tigthening Torque on the Stress Distribution in Double Lap Simple Bolted and Hybrid (Bolted -Bonded) Joints
In this research, the effects of torque tightening on the stress distribution in double lap simple bolted and hybrid (bolted-bonded) joints have been investigated numerically. In order to determine the bolt clamping force value due to tightening torque in simple bolted and hybrid joints, which is necessary in numerical simulation, an experimental approach has been proposed. To do so, two kinds of joints, i.e. double lap simple and hybrid joints were prepared. To determine the bolt clamping force or pretension resulting from the torque tightening, at different applied torques, for both kinds of joints a special experimental method was designed using a steel hollow cylinder that was placed between the nut and the plate. In order to obtain the stress distribution in the joint plates for both kinds of the joints, with two different amounts of tightening torque, three-dimensional finite element models were simulated by a general finite element code. The obtained results revealed that the amounts of resultant stresses were reduced by increasing the tightening torque due to compressive stresses. Furthermore, in the hybrid joints, the stress concentration around the hole is reduced significantly. Finally, the comparison of the obtained results, confirms that the hybrid joints have better static strength than simple joints for all levels of the tightening torque.
http://jsm.iau-arak.ac.ir/article_515348_5cf56415c79e4563ddc5eeb7f5a43661.pdf
2015-09-30T11:23:20
2020-06-03T11:23:20
268
280
Clamping force
Bolted joint
Hybrid joint
Tightening torque
Hook's law
F
Esmaeili
f.esmaeili@iaut.ac.ir
true
1
Department of Mechanical Engineering, Tabriz Branch, Islamic Azad University
Department of Mechanical Engineering, Tabriz Branch, Islamic Azad University
Department of Mechanical Engineering, Tabriz Branch, Islamic Azad University
LEAD_AUTHOR
T.N
Chakherlou
true
2
Faculty of Mechanical Engineering, University of Tabriz
Faculty of Mechanical Engineering, University of Tabriz
Faculty of Mechanical Engineering, University of Tabriz
AUTHOR
[1] Esmaeili F., Chakherlou T.N., Zehsaz M., 2014, Prediction of fatigue life in aircraft double lap bolted joints using several multiaxial fatigue criteria, Materials and Design 59: 430-438.
1
[2] Esmaeili F., Chakherlou T.N., Zehsaz M., Hasanifard S., 2013, Investigating the effect of clamping force on the fatigue life of bolted plates using volumetric approach, Journal of Mechanical Science and Technology 27(12):3657-3664.
2
[3] Iancu F., Ding X., Cloud G.L., Raju B.B., Hahn G.T., 2005, Three-dimensional investigation of thick single-lap bolted joints, Experimental Mechanics 45(4): 351-358.
3
[4] Essam A., Bahkali A., 2011, Finite element modeling for thermal stresses developed in riveted and rivet-bonded joints, International Journal of Engineering & Technology IJET-IJENS 11(6): 106-112.
4
[5] Fu M., Mallick P.K., 2001, Fatigue of hybrid (adhesive/bolted) joints in SRIM composites, International Journal of Adhesion and Adhesives 21(2): 145-159.
5
[6] Gomez S., Onoro J., Pecharroman J., 2007, A simple mechanical model of a structural hybrid adhesive/riveted single lap joint, International Journal of Adhesion and Adhesives 27(4): 263-267.
6
[7] Hart-Smith L.J., 1985, Bonded-bolted composite joints, Journal of Aircraft 22(11): 993-1000.
7
[8] Allan R.C., Bird J., Clarke J.D., 1988, Use of adhesives in repair of cracks in ship structures, Materials Science and Technology 4(10): 853-859.
8
[9] Camanho P.P., Tavares C.M.L., Oliveira R.d., Marques A.T., Ferreira A.J.M., 2005, Increasing the efficiency of composite single-shear lap joints using bonded inserts, Composites Part B: Engineering 36(5): 372-383.
9
[10] Chan W.S., Vedhagiri S., 2001, Analysis of composite bonded/bolted joints used in repairing, Journal of Composite Materials 35(12): 1045-1061.
10
[11] Kelly G., 2005, Load transfer in hybrid (bonded/bolted) composite single-lap joints, Composite Structures 69(1): 35-43.
11
[12] Barut A., Madenci E., 2009, Analysis of bolted-bonded composite single-lap joints under combined in-plane and transverse loading, Composite Structures 88(4): 579-594.
12
[13] Paroissien E., Sartor M., Huet J., Lachaud F., 2007, Analytical two-dimensional model of a hybrid (bolted/bonded) single-lap joint, Journal of Aircraft 44(2): 573-582.
13
[14] Sugaya T., Obuchi T., Chiaki S., 2011, Influences of loading rates on stress-strain relations of cured bulks of brittle and ductile adhesives, Journal of Solid Mechanics and Materials Engineering 5(12): 921-928.
14
[15] Kweon J., Jung J., Kim T., Chai J., Kim D., 2006, Failure of carbon composite-to aluminum joints with combined mechanical fastening and adhesive bonding, Composite Structures 75(1-4): 192-198.
15
[16] Iyer K., Rubin C.A., Hahn G.T., 2001, Influence of interference and clamping on fretting fatigue in single rivet-row lap joints, Journal of Tribology-transactions of the ASME 123(4): 686-698.
16
[17] Aragon A., Alegre J.M., Gutierrez-Solana F., 2006, Effect of clamping force on the fatigue behaviour of punched plates subjected to axial loading, Engineering Failure Analysis 13(2): 271-281.
17
[18] Sekercioglu T., Kovan V., 2008, Torque strength of bolted connections with locked anaerobic adhesive, Proceedings of the Institution of Mechanical Engineers, Journal of Materials: Design and Applications 222 (1): 83-90.
18
[19] Chakherlou T.N., Abazadeh B., Vogwell J., 2009, The effect of bolt clamping force on the fracture strength and the stress intensity factor of a plate containing a fastener hole with edge cracks, Engineering Failure Analysis 16(1): 242-253.
19
[20] Oskouei R.H., Chakherlou T.N., 2009, Reduction in clamping force due to applied longitudinal load to aerospace Structural bolted plates, Aerospace Science and Technology 13(6): 325-330.
20
[21] Budynas R.G., Nisbett J.K., 2011, Shigley’s Mechanical Engineering Design, McGraw-Hill.
21
[22] Chakherlou T.N., Alvandi-Tabrizi Y., Kiani A., 2011, On the fatigue behavior of cold expanded fastener holes subjected to bolt tightening, International Journal of Fatigue 33(6): 800-810.
22
[23] Collings T.A., 1977, The strength of bolted joints in multi-directional CFRP laminates, Composites 8(1): 43-54.
23
[24] Stockdale J.H., Matthews F.L., 1976, The effect of clamping pressure on bolt bearing loads in glass fiber-reinforced plastics, Composites 7(1): 34-39.
24
[25] Deng X., Hutchinson J.W., 1998, The Clamping Stress in a Cold Driven Rivet, International Journal of Mechanical Sciences 40(7): 683-694.
25
[26] Nah H.S., Lee H.J., Kim K.S., Kim J.H., Kim W.B., 2009, Method for estimating the clamping force of high strength bolts subjected to temperature variation, International Journal of Steel Structures 9(2): 123-130.
26
[27] Technical Data Sheet, 2003, Product 3421, Loctite Corp, Dublin.
27
[28] Oskouei R.H., 2005, An investigation into bolt clamping effects on distributions of stresses and strains near fastener hole and its effect on fatigue life, MSc thesis, University of Tabriz, Tabriz, Iran.
28
[29] Swanson Analysis Systems Inc,2004, ANSYS, Release 9.
29
[30] De Angelis F., 2012, A comparative analysis of linear and nonlinear kinematic hardening rules in computational elastoplasticity, Technische Mechanik 32 (2-5):164-173.
30
[31] De Angelis F., 2000, An internal variable variational formulation of viscoplasticity, Computer Methods in Applied Mechanics and Engineering 190( 1-2) : 35-54.
31
[32] De Angelis F., 2007, A variationally consistent formulation of nonlocal plasticity, Journal for Multiscale Computational Engineering 5 (2):105-116.
32
33
ORIGINAL_ARTICLE
The Effect of Modified Couple Stress Theory on Buckling and Vibration Analysis of Functionally Graded Double-Layer Boron Nitride Piezoelectric Plate Based on CPT
In this article, the effect of size-dependent on the buckling and vibration analysis of functionally graded (FG) double-layer boron nitride plate based on classical plate theory (CPT) under electro-thermo-mechanical loadings which is surrounded by elastic foundation is examined. This subject is developed using modified couple stress theory. Using Hamilton's principle, the governing equations of motion are obtained by applying a modified couple stress and von Karman nonlinear strain for piezoelectric material and Kirchhoff plate. These equations are coupled for the FG double-layer plate using Pasternak foundation and solved using Navier’s type solution. Then, the dimensionless natural frequencies and critical buckling load for simply supported boundary condition are obtained. Also, the effects of material length scale parameter, elastic foundation coefficients and power law index on the dimensionless natural frequency and critical buckling load are investigated. The results demonstrate that the dimensionless natural frequency of the piezoelectric plate increases steadily by growing the power law index. Also, the effect of the power law index on the dimensionless critical buckling load of double layer boron nitride piezoelectric for higher dimensionless material length scale parameter is the most.
http://jsm.iau-arak.ac.ir/article_515350_4bde3e7858606f8afbd1f062b3a24f91.pdf
2015-09-30T11:23:20
2020-06-03T11:23:20
281
298
Buckling and vibration analysis
Modified couple stress theory
Functionally graded double-layer Piezoelectric plate
CPT
M
Mohammadimehr
mmohammadimehr@kashanu.ac.ir
true
1
Department of Solid Mechanics ,Faculty of Mechanical Engineering, University of Kashan
Department of Solid Mechanics ,Faculty of Mechanical Engineering, University of Kashan
Department of Solid Mechanics ,Faculty of Mechanical Engineering, University of Kashan
LEAD_AUTHOR
M
Mohandes
true
2
Department of Solid Mechanics ,Faculty of Mechanical Engineering, University of Kashan
Department of Solid Mechanics ,Faculty of Mechanical Engineering, University of Kashan
Department of Solid Mechanics ,Faculty of Mechanical Engineering, University of Kashan
AUTHOR
[1] Yang F., Chong A.C.M, Lam D.C.C., Tong P., 2002, Couple stress based strain gradient theory for elasticity, International Journal of Solids and Structures 39: 2731-2743.
1
[2] Wang L., 2011, A modified nonlocal beam model for vibration and stability of nanotubes conveying fluid, Physica E: Low-dimensional Systems and Nanostructures 44: 25-28.
2
[3] Akgoz B., Civalek O., 2011, Strain gradient elasticity and modified couple stress models for buckling analysis of axially loaded micro-scaled beams, International Journal of Engineering Science 49: 1268-1280.
3
[4] Chen W., Li L., Xua M., 2011, A modified couple stress model for bending analysis of composite laminated beams with first order shear deformation, Composite Structures 93: 2723-2732.
4
[5] Asghari M., 2012, Geometrically nonlinear micro-plate formulation based on the modified couple stress theory, International Journal of Engineering Science 51: 292-309.
5
[6] Reddy J.N., Kim J., 2012, A nonlinear modified couple stress-based third-order theory of functionally graded plates, Composite Structures 94: 1128-1143.
6
[7] Chen W., Wei C, Sze K.Y., 2012, A model of composite laminated Reddy beam based on a modified couple-stress theory, Composite Structures 94: 2599-2609.
7
[8] Chen W., XubM., Li L., 2012, A model of composite laminated Reddy plate based on new modified couple stress theory, Composite Structures 94: 2143-2156.
8
[9] Ke L.L., Wang Y.S., Yang J., Kitipornchai S., 2012, Nonlinear free vibration of size-dependent functionally graded microbeams, International Journal of Engineering Science 50: 256-267.
9
[10] Wang L., Xu Y.Y., Ni Q., 2013, Size-dependent vibration analysis of three-dimensional cylindrical microbeams based on modified couple stress theory: A unified treatment, International Journal of Engineering Science 68: 1-10.
10
[11] Farokhi H., Ghayesh M.H., Amabili M., 2013, Nonlinear dynamics of a geometrically imperfect microbeam based on the modified couple stress theory, International Journal of Engineering Science 68: 11-23.
11
[12] Simsek M., Reddy J.N., 2013, A unified higher order beam theory for buckling of a functionally graded microbeam embedded in elastic medium using modified couple stress theory, Composite Structures 101: 47-58.
12
[13] Ghorbanpour Arani A., Rahnama Mobarakeh M., Shams Sh., Mohammadimehr M., 2012, The effect of CNT volume fraction on the magneto-thermo-electro-mechanical behavior of smart nanocomposite cylinder, Journal of Mechanical Science and Technology 26 (8): 2565-2572.
13
[14] Mohammadimehr M., Rousta Navi B., Ghorbanpour Arani A., 2015, Surface stress effect on the nonlocal biaxial buckling and bending analysis of polymeric piezoelectric nanoplate reinforced by CNT using Eshelby-Mori-Tanaka approach, Journal of Solid Mechanics 7(2) :173-190
14
[15] Mohammadimehr M., Golzari E., 2014, The elliptic phenomenon effect of cross section on the torsional buckling of a nanocomposite beam reinforced by a single-walled carbon nanotube, Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanoengineering and Nanosystems, doi:10.1177/1740349914552307.
15
[16] Mohammadimehr M., Mohandes M., Moradi M., 2014, Size dependent effect on the buckling and vibration analysis of double bonded nanocomposite piezoelectric plate reinforced by boron nitride nanotube based on modified couple stress theory, Journal of Vibration and Control, doi:10.1177/1077546314544513.
16
[17] Asghari M., Ahmadian M.T., Kahrobaiyan M.H., Rahaeifard M., 2010, On the size-dependent behavior of functionally graded micro-beams, Materials and Design 31: 2324-2329.
17
[18] Liew K.M., Yang J., Kitipornchai S., 2003, Postbuckling of piezoelectric FGM plates subject to thermo-electro-mechanical loading, International Journal of Solids and Structures 40: 3869-3892.
18
[19] Rao B.N., Kuna M., 2008, Interaction integrals for fracture analysis of functionally graded piezoelectric materials, International Journal of Solids and Structures 45: 5237-5257.
19
[20] Golmakani M.E., Kadkhodayan M., 2011, Nonlinear bending analysis of annular FGM plates using higher-order shear deformation plate theories, Composite Structures 93: 973-982.
20
[21] Kim J., Reddy J.N., 2013, Analytical solutions for bending, vibration, and buckling of FGM plates using a couple stress-based third-order theory, Composite Structures 103: 86-98.
21
[22] Liu C., Ke L.L., Wanga Y.S., Yang J., Kitipornchai S., 2013, Thermo-electro-mechanical vibration of piezoelectric nanoplates based on the nonlocal theory, Composite Structures 106: 167-174.
22
[23] Ozgan K., Daloglu A.T., 2008, Effect of transverse shear strains on plates resting on elastic foundation using modified Vlasov model, Thin-Walled Structures 46: 1236-1250.
23
[24] Fallah A., Aghdam M.M., 2011, Nonlinear free vibration and post-buckling analysis of functionally graded beams on nonlinear elastic foundation, European Journal of Mechanics A/Solids 30: 571-583.
24
[25] Ghorbanpour Arani A., Hashemian M., Loghman A., Mohammadimehr M., 2011, Study of dynamic stability of the double-walled carbon nanotube under axial loading embedded in an elastic medium by the energy method, Journal of applied mechanics and technical physics 52 (5): 815-824.
25
[26] Zenkour A.M., 2010, Hygro-thermo-mechanical effects on FGM plates resting on elastic foundations, Composite Structures 93: 234-238.
26
[27] Kiani Y., Akbarzadeh A.H., Chen Z.T., Eslami M.R., 2012, Static and dynamic analysis of an FGM doubly curved panel resting on the Pasternak-type elastic foundation, Composite Structures 94: 2474-2484.
27
[28] Khalili S.M.R., Abbaspour P., Malekzadeh Fard K., 2013, Buckling of non-ideal simply supported laminated plate on Pasternak foundation, Applied Mathematics and Computation 219: 6420-6430.
28
[29] Rahmati A. H., Mohammadimehr M., 2014, Vibration analysis of non-uniform and non-homogeneous boron nitride nanorods embedded in an elastic medium under combined loadings using DQM, Physica B: Condensed Matter 440: 88-98.
29
[30] Brush D., Almroth B., 1975, Buckling of Bars, Plates and Shells, McGraw-Hill, New York.
30
[31] Thai H.T., Vo T.H.P., 2013, A size-dependent functionally graded sinusoidal plate model based on a modified couple stress theory, Composite Structures 96: 376-383.
31
[32] Thai H.T., Kim S.E., 2013 A size-dependent functionally graded Reddy plate model based on a modified couple stress theory, Composites: Part B 45: 1636-1645.
32
[33] Reddy J.N., 2003, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press, Boca Raton.
33
[34] Yang J., Ke L.L., Kitipornchai S., 2010, Nonlinear free vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory, Physica E 42: 1727-1735.
34
[35] Thai H.T., Choi D.H., 2013, Size-dependent functionally graded Kirchhoff and Mindlin plate models based on a modified couple stress theory, Composite Structures 95: 142-153.
35
[36] Mohammadimehr M., Saidi A.R., Ghorbanpour Arani A., Arefmanesh A., Han Q., 2010, Torsional buckling of a DWCNT embedded on winkler and pasternak foundations using nonlocal theory, Journal of Mechanical Science and Technology 24(6) : 1289-1299.
36
[37] Mosallaie Barzoki A.A., Ghorbanpour Arani A., Kolahchi R., Mozdianfard M.R., 2012, Electro-thermo-mechanical torsional buckling of a piezoelectric polymeric cylindrical shell reinforced by DWBNNTs with an elastic core, Applied Mathematical Modelling 36: 2983-2995.
37
[38] Ghorbanpour Arani A., Hashemian M., 2012, Electro-Thermo-Dynamic Buckling of Embedded DWBNNT Conveying Viscous Fluid, Journal of Solid Mechanics 4: 15-32.
38
[39] Mohammadimehr M., Rahmati A. H., 2013, Small scale effect on electro-thermo-mechanical vibration analysis of single-walled boron nitride nanorods under electric excitation, Turkish Journal of Engineering & Environmental Sciences 37 :1-15.
39
ORIGINAL_ARTICLE
Effect of Surface Energy on the Vibration Analysis of Rotating Nanobeam
In this study, the free vibration behavior of rotating nanobeam is studied. Surface effects on the vibration frequencies of nanobeam are considered. To incorporate surface effects, Gurtin–Murdoch model is proposed to satisfy the surface balance equations of the continuum surface elasticity. Differential quadrature method is employed and in order to establish the accuracy and applicability of the proposed model, the numerical results are presented to be compared with those available in the literature. The effects of angular velocity, boundary conditions and surface elastic constants on the vibration characteristics are presented. Numerical results show that the softer boundary conditions cause an increase in the influence of the angular velocity on the nanobeam vibration frequencies.
http://jsm.iau-arak.ac.ir/article_515351_61bc2deb10cd00c4bcc751af86a14844.pdf
2015-09-30T11:23:20
2020-06-03T11:23:20
299
311
Vibration
Rotating nanobeam
Differential quadrature method
Surface energy
M
Safarabadi
msafarabadi@ut.ac.ir
true
1
School of Mechanical Engineering, College of Engineering, University of Tehran
School of Mechanical Engineering, College of Engineering, University of Tehran
School of Mechanical Engineering, College of Engineering, University of Tehran
LEAD_AUTHOR
M
Mohammadi
m.mohamadi@me.iut.ac.ir
true
2
Department of Engineering, College of Mechanical Engineering, Ahvaz branch, Islamic Azad University
Department of Engineering, College of Mechanical Engineering, Ahvaz branch, Islamic Azad University
Department of Engineering, College of Mechanical Engineering, Ahvaz branch, Islamic Azad University
AUTHOR
A
Farajpour
true
3
Young Researches and Elites Club , North Tehran Branch, Islamic Azad University
Young Researches and Elites Club , North Tehran Branch, Islamic Azad University
Young Researches and Elites Club , North Tehran Branch, Islamic Azad University
AUTHOR
M
Goodarzi
mz.goodarzi.iau@gmail.com
true
4
Department of Engineering, College of Mechanical Engineering, Ahvaz branch, Islamic Azad University
Department of Engineering, College of Mechanical Engineering, Ahvaz branch, Islamic Azad University
Department of Engineering, College of Mechanical Engineering, Ahvaz branch, Islamic Azad University
AUTHOR
[1] Raighead H. G. C., 2000, Nanoelectromechanical systems, Science 290: 1532-1535.
1
[2] Ekinci K. L., Roukes M. L., 2005, Nanoelectromechanical systems, Review of Scientific Instruments 76: 1-12.
2
[3] Mindlin R. D., Tiersten H. F., 1962, Effects of couple-stresses in linear elasticity, Archive for Rational Mechanics and Analysis 11: 415-448.
3
[4] Toupin R. A., 1962, Elastic materials with couple-stresses, Archive for Rational Mechanics and Analysis 11: 385-414.
4
[5] Akgöz B., Civalek Ö., 2013, Modeling and analysis of micro-sized plates resting on elastic medium using the modified couple stress theory, Meccanica 48: 863-873.
5
[6] Akgöz B., Civalek Ö., 2011, Strain gradiant and modified couple stress models for buckling analysis of axially loaded micro-scales beam, International Journal of Engineering Science 49: 1268-1280.
6
[7] Civalek Ö., Demir C., Akgöz B., 2010, Free vibration and bending analyses of cantilever microtubules based on nonlocal continuum model, Mathematical and Computational Applications 15: 289-298.
7
[8] Civalek Ö., Demir Ç., 2011, Bending analysis of microtubules using nonlocal Euler-Bernoulli beam theory, Applied Mathematical Modeling 35: 2053-2067.
8
[9] Farajpour A., Danesh M., Mohammadi M., 2011, Buckling analysis of variable thickness nanoplates using nonlocal continuum mechanics, Physica E 44: 719-727.
9
[10] Mohammadi M., Goodarzi M., Ghayour M., Farajpour A., 2013, Influence of in-plane pre-load on the vibration frequency of circular graphene sheet via nonlocal continuum theory, Composites: Part B 51: 121-129.
10
[11] Mohammadi M., Moradi A., Ghayour M., Farajpour A., 2014, Exact solution for thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium, Latin American Journal of Solids and Structures 11: 437- 458.
11
[12] Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics 54: 4703- 4710.
12
[13] Eringen A.C., 2002, Nonlocal Continuum Field Theories, Springer, New York.
13
[14] He L., Lim C., Wu B., 2004, A continuum model for size-dependent deformation of elastic films of nano-scale thickness, International Journal of Solids and Structures 41: 847- 857.
14
[15] Ghorbanpour Arani A., Kolahchi R., Vossough H., 2012, Nonlocal wave propagation in an embedded DWBNNT conveying fluid via strain gradient, Physica B: Condensed Matter 407: 4281- 4286.
15
[16] Akgöz B., Civalek Ö., 2011, Application of strain gradient elasticity theory for buckling analysis of protein microtubules, Current Applied Physics 11: 1133-1138.
16
[17] Akgöz B., Civalek Ö., 2012, Analysis of micro-sized beams for various boundary conditions based on the strain gradient elasticity theory, Archive of Applied Mechanics 82: 423- 443.
17
[18] Akgöz B., Civalek Ö., 2013, A size-dependent shear deformation beam model based on the strain gradient elasticity theory, International Journal of Engineering Science 70: 1-14.
18
[19] Gurtin M., Murdoch A. I., 1975, A continuum theory of elastic material surfaces, Archive for Rational Mechanics and Analysis 57: 291-323.
19
[20] Gurtin M., Weissmüller J., Larche F., 1998, A general theory of curved deformable interfaces in solids at equilibrium, Philosophical Magazine A 78: 1093-1109.
20
[21] Asgharifard Sharabiani P., Haeri Yazdi M.R., 2013, Nonlinear free vibrations of functionally graded nanobeams with surface effects, Composites Part B: Engineering 45: 581-586.
21
[22] Wang G., Feng X., Yu S., 2007, Surface buckling of a bending microbeam due to surface elasticity, Europhysics Letters 77: 44002.
22
[23] Assadi A., Farshi B., 2011, Size-dependent longitudinal and transverse wave propagation in embedded nanotubes with consideration of surface effects, Acta Mechanica 222: 27-39.
23
[24] Fu Y., Zhang J., Jiang Y., 2010, Influences of the surface energies on the nonlinear static and dynamic behaviors of nanobeams, Physica E: Low-Dimensional Systems and Nanostructures 42: 2268 -2273.
24
[25] Alizada A. N., Sofiyev A. H., 2011, On the mechanics of deformation and stability of the beam with a nanocoating, Journal of Reinforced Plastics and Composites 30:1583-1595.
25
[26] Alizada A. N., Sofiyev A. H., Kuruoglu N., 2012, Stress analysis of a substrate coated by nanomaterials with vacancies subjected to uniform extension load, Acta Mechanica 223:1371-1383.
26
[27] Alizada A. N., Sofiyev A. H., 2011, Modified Young’s moduli of nanomaterials taking into account the scale effects and vacancies, Meccanica 46: 915- 920.
27
[28] Gheshlaghi B., Hasheminejad S. M., 2011, Surface effects on nonlinear free vibration of nanobeams, Composites Part B: Engineering 42: 934 -937.
28
[29] Guo J. G., Zhao Y.P., 2007, The size-dependent bending elastic properties of nanobeams with surface effects, Nanotechnology 18: 295701.
29
[30] Hosseini-Hashemi S., Nazemnezhad R., 2013, An analytical study on the nonlinear free vibration of functionally graded nanobeams incorporating surface effects, Composites Part B: Engineering 52: 199-206.
30
[31] Liu C., Rajapakse R., 2010, Continuum models incorporating surface energy for static and dynamic response of nanoscale beams, Nanotechnology 9: 422- 431.
31
[32] Malekzadeh P., Shojaee M., 2013, Surface and nonlocal effects on the nonlinear free vibration of non-uniform nanobeams, Composites Part B: Engineering 52:82-94.
32
[33] Mahmoud F., Eltaher M., Alshorbagy A., Meletis E., 2012, Static analysis of nanobeams including surface effects by nonlocal finite element, Journal of Mechanical Science and Technology 26: 3555-3563.
33
[34] Eltaher M. A., Mahmoud F. F., Assie A. E., Meletis E. I., 2013, Coupling effects of nonlocal and surface energy on vibration analysis of nanobeams, Applied Mathematics and Computation 224: 760-774.
34
[35] Pradhan S. C., Murmu T., 2010, Application of nonlocal elasticity and DQM in the ﬂapwise bending vibration of a rotating nanocantilever, Physica E 42: 1944 -1949.
35
[36] Assadi A., Farshi B., 2011, Size dependent stability analysis of circular ultrathin films in elastic medium with consideration of surface energies, Physica E 43: 1111-1117.
36
[37] Assadi A., Farshi B., 2011, Size dependent vibration of curved nanobeams and rings including surface energies, Physica E 43: 975-978.
37
[38] Farajpour A., Dehghany M., Shahidi A. R., 2013, Surface and nonlocal effects on the axisymmetric buckling of circular graphene sheets in thermal environment, Composites Part B: Engineering 50: 333-343.
38
[39] Asemi S. R., Farajpour A., 2014, Decoupling the nonlocal elasticity equations for thermo-mechanical vibration of circular graphene sheets including surface effects, Physica E 60: 80-90.
39
[40] Farajpour A., Rastgoo A., Mohammadi M., 2014, Surface effects on the mechanical characteristics of microtubule networks in living cells, Mechanics Research Communications 57: 18-26.
40
[41] Shenoy V. B., 2005, Atomistic calculations of elastic properties of metallic fcc crystal surfaces, Physical Review B 71: 094104-094115.
41
[42] Lu P., He L., Lee H., Lu C., 2006, Thin plate theory including surface effects, International Journal of Solids and Structures 43: 4631- 4647.
42
[43] Rao S. S., 2007, Vibration of Continuous Systems, John Wiley & Sons.
43
[44] Gurtin M. E., Markenscoff X., Thurston R. N., 1976, Effect of surface stress on the natural frequency of thin crystals, Applied Physics Letters 29: 529-530.
44
[45] Danesh M., Farajpour A., Mohammadi M., 2012, Axial vibration analysis of a tapered nanorod based on nonlocal elasticity theory and differential quadrature method, Mechanics Research Communications 39: 23- 27.
45
[46] Farajpour A., Mohammadi M., Shahidi A.R., Mahzoon M., 2011, Axisymmetric buckling of the circular graphene sheets with the nonlocal continuum plate model, Physica E 43: 1820-1825.
46
[47] Moosavi H., Mohammadi M., Farajpour A., Shahidi A. R., 2011, Vibration analysis of nanorings using nonlocal continuum mechanics and shear deformable ring theory, Physica E 44: 135-140.
47
[48] Mohammadi M., Goodarzi A., Ghayour M., Alivand S., 2012, Small scale effect on the vibration of orthotropic plates embedded in an elastic medium and under biaxial in-plane pre-load via nonlocal elasticity theory, Journal of Solid Mechanics 4: 128-143.
48
[49] Mohammadi M., Farajpour A., Goodarzi M., Dinari F., 2014, Thermo-mechanical vibration of annular and circular graphene sheet embedded in an elastic medium, Latin American Journal of Solids and Structures 11: 659- 682.
49
[50] Shu C., 2000, Differential Quadrature and its Application in Engineering, Springer, Great Britain.
50
[51] Civalek Ö., 2004, Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns, Engineering Structures 26: 171-186.
51
[52] Civalek Ö., 2007, Three-dimensional vibration, buckling and bending analyses of thick rectangular plates based on discrete singular convolution method, International Journal of Mechanical Sciences 49: 752-765.
52
[53] Civalek Ö., 2007, Nonlinear analysis of thin rectangular plates on Winkler–Pasternak elastic foundations by DSC–HDQ methods, Applied Mathematical Modelling 31: 606 -624.
53
[54] Civalek Ö., 2007, Numerical analysis of free vibrations of laminated composite conical and cylindrical shells: Discrete singular convolution (DSC) approach, Journal of Computational and Applied Mathematics 205: 251-271.
54
[55] Mohammadi M., Farajpour A., Moradi A., Ghayour M., 2014, Shear buckling of orthotropic rectangular graphene sheet embedded in an elastic medium in thermal environment, Composites: Part B 56: 629- 637.
55
[56] Mohammadi M., Farajpour A., Goodarzi M., Shehni Nezhad Pour H., 2014, Numerical study of the effect of shear in-plane load on the vibration analysis of graphene sheet embedded in an elastic medium, Computational Materials Science 82: 510 -520.
56
[57] Mohammadi M., Ghayour M., Farajpour A., 2013, Free transverse vibration analysis of circular and annular graphene sheets with various boundary conditions using the nonlocal continuum plate model, Composites: Part B 45: 32- 42.
57
[58] Farajpour A., Shahidi A. R., Mohammadi M., Mahzoon M., 2012, Buckling of orthotropic micro/nanoscale plates under linearly varying in-plane load via nonlocal continuum mechanics, Composite Structures 94: 1605-1615.
58
[59] Asemi S. R., Farajpour A., Asemi H. R., Mohammadi M., 2014, Inﬂuence of initial stress on the vibration of double-piezoelectricnanoplate systems with various boundary conditions using DQM, Physica E 63: 169 -179.
59
[60] Asemi S. R., Farajpour A., Mohammadi M., 2014, Nonlinear vibration analysis of piezoelectric nanoelectromechanical resonators based on nonlocal elasticity theory, Composite Structures 116: 703-712.
60
[61] Asemi S. R., Mohammadi M., Farajpour A., 2014, A study on the nonlinear stability of orthotropic single-layered graphene sheet based on nonlocal elasticity theory, Latin American Journal of Solids and Structures 11: 1541-1564.
61
[62] Mohammadi M., Farajpour A., Goodarzi M., Heydarshenas R., 2013, Levy type solution for nonlocal thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium, Journal of Solid Mechanics 5: 116-132.
62
[63] Mohammadi M., Farajpour A., Goodarzi M., Mohammadi H., 2013, Temperature effect on vibration analysis of annular graphene sheet embedded on visco-pasternak foundation, Journal of Solid Mechanics 5: 305-323.
63
[64] Goodarzi M., Mohammadi M., Farajpour A., Khooran M., 2014, Investigation of the effect of pre-stressed on vibration frequency of rectangular nanoplate based on a visco pasternak foundation, Journal of Solid Mechanics 6: 98-121.
64
[65] Bert C. W, Malik M., 1996, Differential quadrature method in computational mechanics, Applied Mechanic Review 49: 1-27.
65
[66] Shu C., Richards B.E., 1992, Application of generalized differential quadrature to solve two-dimensional incompressible Navier Stokes equations, International Journal for Numerical Methods in Fluids 15: 791-798.
66
[67] Miller R. E., Shenoy V. B., 2000, Size dependent elastic properties of structural elements, Nanotechnology 11: 139-147.
67
[68] Daw M. S., Baskes M. I., 1984, Embedded-atom method: derivation and application to impurities, surfaces, and other defects in metals, Physical Review B 29: 6443-6453.
68
[69] Hosseini-Hashemi S.h., Fakher M., Nazemnezhad R., 2013, Surface effects on free vibration analysis of nanobeams using nonlocal elasticity: a comparison between euler-bernoulli and timoshenko, Journal of Solid Mechanics 5: 290-304.
69
ORIGINAL_ARTICLE
Wave Propagation at the Boundary Surface of Inviscid Fluid Half-Space and Thermoelastic Diffusion Solid Half-Space with Dual-Phase-Lag Models
The present investigation deals with the reflection and transmission phenomenon due to incident plane longitudinal wave at a plane interface between inviscid fluid half-space and a thermoelastic diffusion solid half-space with dual-phase-lag heat transfer (DPLT) and dual-phase-lag diffusion (DPLD) models. The theory of thermoelasticity with dual-phase-lag heat transfer developed by Roychoudhary [10] has been employed to develop the equation for thermoelastic diffusion with dual-phase-lag heat transfer and dual-phase-lag diffusion model. Amplitude ratios and energy ratios of various reflected and transmitted waves are obtained. It is found that these are the functions of angle of incidence, frequency of incident wave and are influenced by thermoelastic diffusion properties of media. The nature of dependence of amplitude ratios and energy ratios with the angle of incidence have been computed numerically for a particular model. The variations of energy ratios with angle of incidence are also shown graphically. The conservation of energy at the interface is verified. Some special cases are also deduced from the present investigation.
http://jsm.iau-arak.ac.ir/article_515352_e05825a161d6b35d46af80a114358a13.pdf
2015-09-30T11:23:20
2020-06-03T11:23:20
312
326
Thermoelasticity
Fluid
Elastic
Reflection
Transmission
Amplitude
energy
R
Kumar
rajneesh_kuk@rediffmail.com
true
1
Department of Mathematics, Kurukshetra University Kurukshetra-136119, Haryana ,India
Department of Mathematics, Kurukshetra University Kurukshetra-136119, Haryana ,India
Department of Mathematics, Kurukshetra University Kurukshetra-136119, Haryana ,India
AUTHOR
V
Gupta
vandana223394@gmail.com
true
2
Indira Gandhi National College, Ladwa(Dhanora), Haryana ,India
Indira Gandhi National College, Ladwa(Dhanora), Haryana ,India
Indira Gandhi National College, Ladwa(Dhanora), Haryana ,India
LEAD_AUTHOR
[1] Biot M.A., 1956, Thermoelasticity and irreversible thermodynamics, Journal of Applied Physics 27: 240-253.
1
[2] Hetnarski R.B., Ignaczak J., 1999, Generalized thermoelasticity, Journal of Thermal Stresses 22: 451- 476.
2
[3] Lord H.W., Shulman Y., 1967, Generalized dynamical theory of thermoelasticity, Journal of the Mechanics and Physics of Solids 15: 299-309.
3
[4] Green A.E., Lindsay K.A., 1972, Thermoelasticity, Journal of Elasticity 2: 1-7.
4
[5] Hetnarski R.B., Ignaczak J., 1996, Solution-like waves in a low temperature non-linear thermoelastic solid , International Journal of Engineering Science 34: 1767-1787.
5
[6] Green A.E., Nagdhi P.M., 1992, Thermoelasticity without energy dissipation, Journal of Elasticity 31: 189-208.
6
[7] Green A.E., Nagdhi P.M., 1991, A re-examination of the basic posulates of thermomechanics, Proceedings of the Royal Society of London 432: 171-194.
7
[8] Tzou D.Y., 1995, A unified field approach for heat conduction from macro to micro Scales, The ASME Journal of Heat Transfer 117: 8-16.
8
[9] Chandrasekharaiah D.S., 1998, Hyperbolic thermoelasticity: a review of recent literature, Applied Mechanics Reviews 51: 705-729.
9
[10] Roychoudhary S.K., 2007, On a thermoelastic three-phase-lag model, Journal of Thermal Stresses 30: 231-238.
10
[11] Sinha S.B., Elsibai K.A., 1997, Reflection and refraction of thermoelastic waves at an interface of two semi-infinite media with two relaxation times, Journal of Thermal Stresses 20: 129-145.
11
[12] Kumar R., Sharma J.N., 2005, Reflection of plane waves from the boundaries of a micropolar thermoelastic half space without energy dissipation, International Journal of Applied Mechanics and Engineering 10: 631-645.
12
[13] Kumar R., Sarthi P., 2006, Reflection and refraction of thermoelastic plane waves at an interface of two thermoelastic media without energy dissipation, Archives of Mechanics 58: 155-185.
13
[14] Kumar R., Singh M., 2007, Propagation of plane waves in thermoelastic cubic material with two relaxation times, Applied Mathematics and Mechanics 28(5): 627-641.
14
[15] Kumar R., Kansal T., 2011, Reflection of plane waves at the free surface of a transversely isotropic thermoelastic diffusive solid half-space, International Journal of Applied Mathematics and Mechanics 7(14): 57-78.
15
[16] Kumar R., Kansal T., 2012, Reflecction and refraction of plane waves at the interface of an elastic solid half-space and a thermoelastic diffusive solid half-space, Archives of Mechanics 64(3): 293-317.
16
[17] Podstrigach Ya. S., 1961, Differential equations of the problem of thermodiffusion in a solid deformable isotropic body, Dop. Akad. Nauk. Ukr. RSR 2: 169-172.
17
[18] Podstrigach Ya. S., Pavlina V. S., 1965, The differential equations of thermodynamic processes in an n-component solid solution, Fiziko Khimicheskaya Mekhanika Materialov 1(4): 383-389.
18
[19] Podstrigach Ya. S., 1964, The diffusion theory of strain of an isotropic solid medium ,Vopr. Mekh. Real. Tver. Tela 2 : 71-99.
19
[20] Podstrigach Ya. S., 1965, The diffusion theory of inelasticity of metals, Zh. Prikl. Mekh. Tekh. Fiz 2 : 67-72.
20
[21] Podstrigach Ya. S., Pavlina V. S., 1974, Diffusion processes in a viscoelastic deformable body, Prikl. Mekh 10(5): 47-53.
21
[22] Podstrigach Ya. S., Pavlina V. S., 1977, Diffusion processes in a viscoelastic deformable layer, Fiziko Khimicheskaya Mekhanika Materialov 13(1): 76-81.
22
[23] Podstrigach Ya. S., Shvets R. N., Pavlina V. S., 1971, The quasistatic thermodiffusion problem for deformable solid bodies, Prikl. Mekh 7(12): 11-16.
23
[24] Nowacki W., 1974, Dynamical problems of thermodiffusion in solids-I, Bulletin of Polish Academy of Sciences Series, Science and Technology 22: 55-64.
24
[25] Nowacki W., 1974, Dynamical problems of thermodiffusion in solids-II, Bulletin of Polish Academy of Sciences Series, Science and Technology 22: 129-135.
25
[26] Nowacki W., 1974, Dynamical problems of thermodiffusion in solids-III, Bulletin of Polish Academy of Sciences Series, Science and Technology 22: 275-276.
26
[27] Nowacki W., 1976, Dynamical problems of diffusion in solids, Engineering Fracture Mechanics 8: 261-266.
27
[28] Dudziak W., Kowalski S.J., 1989, Theory of thermodiffusion for solids, International Journal of Heat and Mass transfer 32: 2005-2013.
28
[29] Olesiak Z.S., Pyryev Y.A., 1995, A coupled quasi-stationary problem of thermodiffusion for an elastic cylinder, International Journal of Engineering Science 33: 773-780.
29
[30] Gawinecki J.A., Szymaniec A., 2002, Global solution of the cauchy problem in nonlinear thermoelastic diffusion in solid body, Proceedings in Applied Mathematics and Mechanics 1: 446- 447.
30
[31] Wu J., Zhu Z., 1992, The propagaton of Lamb waves in a plate bordered with layers of a liquid, The Journal of the Acoustical Society of America 91: 861-867.
31
[32] Sharma J.N., Kumar S., Sharma Y.D., 2008, Propagation of rayleigh waves in microstretch thermoelastic continua under inviscid fluid loadings, Journal of Thermal Stresses 31: 18-39.
32
[33] Kumar R., Pratap G., 2009, Wave propagation in microstretch thermoelaastic plate bordered with layers of inviscid liquid, Multidiscipline Modeling in Materials and Structures 5: 171-184.
33
[34] Sharma M.D., 2004, 3-D wave propagation in a general anisotropic poroelastic medium: reflection and refraction at an interface with fluid, Geophysical Journal International 157: 947-958.
34
[35] Sherief H.H., Hamza F.A. Saleh H.A.,2004, The theory of generalized thermoelastic diffusion, The International Journal of Engineering Science 42: 591-608.
35
[36] Achenbach J.D.,1973, Wave Propagation in Elastic Solids, North –Holland, Amstendam.
36
[37] Borcherdt R.D., 1982, Reflection-refraction of general P and type-I S waves in elastic and anelastic solids, Geophysical Journal of Royal Astronomical Society 70: 621-638.
37
[38] Sherief H.H., Saleh H.A., 2005, A half space problem in the theory of thermoelastic diffusion, International Journal of Solid and Structures 42: 4484- 4493.
38
39
ORIGINAL_ARTICLE
Asymmetric Thermal Stresses of Hollow FGM Cylinders with Piezoelectric Internal and External Layers
In this paper ,the general solution of steady-state one dimensional asymmetric thermal stresses and electrical and mechanical displacements of a hollow cylinder made of functionally graded material and piezoelectric layers is developed .The material properties ,except the Poisson's ration, are assumed to depend on the variable radius and they are expressed as power functions of radius. The temperature distribution is assumed to be a function of radius with general thermal and mechanical boundary conditions on the inside and outside surfaces. By using the separation of variables method and complex Fourier series, the Navier equations in term of displacements are derived and solved.
http://jsm.iau-arak.ac.ir/article_515355_44bf509f0bf3e79bb904994f4e168fd7.pdf
2015-09-30T11:23:20
2020-06-03T11:23:20
327
343
Hollow cylinder
Asymmetric
FGM
Piezoelectric
M
Jabbari
mohsen.jabbari@gmail.com
true
1
Postgraduate School, Islamic Azad University, South Tehran Branch
Postgraduate School, Islamic Azad University, South Tehran Branch
Postgraduate School, Islamic Azad University, South Tehran Branch
LEAD_AUTHOR
M.B
Aghdam
true
2
Postgraduate School, Islamic Azad University, South Tehran Branch
Postgraduate School, Islamic Azad University, South Tehran Branch
Postgraduate School, Islamic Azad University, South Tehran Branch
AUTHOR
[1] Wu C. P., Syu Y. S., 2007, Exact solutions of functionally graded piezoelectric shells under cylindrical bending, International Journal of Solids and Structures 44: 6450-6472.
1
[2] Wang H.M., Xu Z.X. , 2010, Effect of material inhomogeneity on electromechanical behaviors of functionally graded piezoelectric spherical structures, Computational Materials Science 48: 440-445.
2
[3] Li X.Y., Ding H.J., Chen W.Q., 2008, Elasticity solutions for a transversely isotropic functionally graded circular plate subject to an axisymmetric transverse load qrk, International Journal of Solids and Structures 45:191-210.
3
[4] Tiersten HF., 1969, Linear Piezoelectric Plate Vibrations, New York, Plenum Press.
4
[5] Kapuria S., Dumir PC., Sengupta S., 1996, Exact piezothermoelastic axisymmetric solution of a finite transversely isotropic cylindrical shell, Computers & Structures 61:1085-1099.
5
[6] Lutz M.P., Zimmerman R.W., 1996, Thermal stresses and effective thermal expansion coefficient of functionally graded sphere, Journal of Thermal Stresses 19: 39-54.
6
[7] Zimmerman R.W., Lutz M.P., 1999, Thermal stresses and thermal expansion in a uniformly heated functionally graded cylinder, Journal of Thermal Stresses 22:177-188.
7
[8] Jabbari M., Sohrabpour S., Eslami M.R., 2003, General solution for mechanical and thermal stresses in functionally graded hollow cylinder due to radially symmetric loads, Journal of Applied Mechanics 70:111-118.
8
[9] Jabbari M., Sohrabpour S., Eslami M.R., 2002, Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads, International Journal Pressure Vessels and Piping 79: 493-497.
9
[10] Jabbari M., Bahtui A., Ealami M.R., 2009, Axisymmetric mechanical and thermal stresses in thick short length functionally graded material cylinder, International Journal Pressure Vessels and Piping 86: 296-306.
10
[11] Jabbari M., Meshkini M., Ealami M.R., 2012, Nonaxisymmetric mechanical and thermal stresses in functionally graded porous piezoelectric material hollow cylinder, International Journal Pressure Vessels Technology 134:061212-061237.
11
[12] Poultangari R., Jabbari M., Eslami M.R., 2008, Functionally graded hollow spheres under non-axisymmetric thermo-mechanical loads, International Journal Pressure Vessels and Piping 85: 295-305.
12
[13] Ootao Y., Tanigawa Y., 2004, Transient thermoelastic problem of functionally graded thick strip due to non uniform heat supply, Composite Structures 63(2):139-146.
13
[14] Alibeigloo A., Chen W.Q., 2010, Elasticity solution for an FGM cylindrical panel integrated with piezoelectric layers, European Journal of Mechanics - A/Solids 29: 714-723.
14
[15] Dai H. L., Hong L., Fu Y. M., Xiao X., 2010, Analytical solution for electro magnetothermoelastic behaviors of a functionally graded piezoelectric hollow cylinder, Applied Mathematical Modeling 34: 343-357.
15
[16] Chen W. Q., Bian Z, G., Lv C.F., Ding H.J., 2004, 3D free vibration analysis of a functionally graded piezoelectric hollow cylinder filled with compressible fluid, International Journal of Solids and Structures 41: 947-964.
16
[17] He X. Q., Ng T.Y., Sivashanker S., Liew k. M., 2001, Active control of FGM plates with integrated piezoelectric sensors and actuators , International Journal of Solids and Structures 38:1641-1655.
17
[18] Wu X. H., Shen Y. P., Chen C., 2003 , An exact solution for functionally graded piezothermoelastic cylindrical shell as sensors or actuators, Materials Letters 57:3532-3542.
18
[19] Fesharaki J. J., Fesharaki J. V., Yazdipoor M., Razavian B., 2012, Two-dimensional solution for electro-mechanical behavior of functionally graded piezoelectric hollow cylinder, Applied Mathematical Modeling 36:5521-5533.
19
[20] Eslami M.R., Babaei M.H., Poultangari R., 205, Thermal and mechanical stresses in a functionally graded thick sphere, International Journal Pressure Vessels and Piping 82: 522-527.
20
[21] Dai H.L., Fu Y. M. , 2007, Magnetothermoelastic interactions in hollow structures of functionally graded material subjected to mechanical loads, International Journal Pressure Vessels and Piping 84:132-138.
21
[22] Yas M.H., SobhaniAragh B., 2010, Three-dimensional analysis for thermoelastic response of functionally graded fiber reinforced cylindrical panel, Composite Structures 92: 2391-2399.
22
[23] Peng X.L., Li X.F., 2010, Thermal stress in rotating functionally graded hollow circular disks, Composite Structures 92:1896-1904.
23
[24] Asghari M., Ghafoori E., 2010, A three-dimensional elasticity solution for functionally graded rotating disks, Composite Structures 92:1092-1099.
24
[25] Khoshgoftar M.J., Ghorbanpour Arani A., Arefi M., 2009, Thermoelastic analysis of a thick walled cylinder made of functionally graded piezoelectric material, Smart Materials and Structures 18:115007.
25
[26] Dube G.P., Kapuria S., Dumir G.P., 1996, Exact piezothermoelastic solution of simply-supported orthotropic circular cylindrical panel in cylindrical bending, Archive of Applied Mechanics 66: 537-554.
26
[27] Dumir P.C., Dube G.P., Kapuria S., 1997, Exact piezoelectric solution of simply-supported orthotropic circular cylindrical panel in cylindrical bending, International Journal of Solids and Structures 34: 685-702.
27
[28] Alashti A.R., Khorsand M., 2011, Three-dimensional thermo-elastic analysis of a functionally graded cylindrical shell with piezoelectric layers by differential quadrature method , International Journal Pressure Vessels and Piping 88:167-180.
28
[29] Heyliger P., 1997, A note on the static behavior of simply-supported laminated piezoelectric cylinders, International Journal of Solids and Structures 34:3781-3794.
29
[30] Chen C.Q., Shen Y.P., 1996, Piezothermoelasticity analysis for a circular cylindrical shell under the state of axisymmetric deformation, International Journal of Engineering Science 34:1585-1600.
30
[31] Shakeri M., Saviz M.R., Yas M.H., 2006, Elasticity solution of laminated cylindrical shell with piezoelectric actuator and sensor layer, Proceedings of the Eighth International Conference on Computational Structures Technology, Spain.
31
[32] Shao Z.S. , Fan L.F., Wang T.J., 2004, Analytical solutions of stresses in functionally graded circular hollow cylinder with finite length, Key Engineering Materials 261-263: 651-656.
32
[33] Ootao Y., Tanigawa Y., 2005, Two-dimensional thermoelastic problem of functionally graded cylindrical panel due to nonuniform heat supply, Mechanics Research Communications 32:429-443.
33
[34] Tutuncu N., 2007, Stresses in thick-walled FGM cylinders with exponentially-varying properties, Engineering Structures 29:2032-2035.
34
[35] Shao Z.S., Ma G.W., 2008, Thermo-mechanical stresses in functionally graded circular hollow cylinder with linearly increasing boundary temperature, Composite Structures 83:259-265.
35
[36] Obata Y., Noda N.,1994, Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a functionally graded material, Journal of Thermal Stresses 14:471-487.
36
[37] Shao Z.S., 2005, Mechanical and thermal stresses of a functionally graded circular hollow cylinder with finite length, International Journal Pressure Vessels and Piping 82:155-163.
37
[38] Alibeigloo A., 2010, Thermoelastic solution for static deformations of functionally graded cylindrical shell bonded to thin piezoelectric layers, Composite Structures 93:961-972.
38
[39] Jabbari M., Mohazzab A.H., Bahtui A., 2009, One-dimensional moving heat sourc in a hollow FGM cylinder, International Journal Pressure Vessels Technology 131:021202-021209.
39
ORIGINAL_ARTICLE
On the Magneto-Thermo-Elastic Behavior of a Functionally Graded Cylindrical Shell with Pyroelectric Layers Featuring Interlaminar Bonding Imperfections Rested in an Elastic Foundation
The behavior of an exponentially graded hybrid cylindrical shell subjected to an axisymmetric thermo-electro-mechanical loading placed in a constant magnetic field is investigated. The hybrid shell is consisted of a functionally graded host layer embedded with pyroelectric layers as sensor and/or actuator that can be imperfectly bonded to the inner and the outer surfaces of a shell. The shell is simply supported and could be rested on an elastic foundation. The material properties of the host layer are assumed to be exponentially graded in the radial direction. To solve governing differential equations, the Fourier series expansion method along the longitudinal direction and the differential quadrature method (DQM) across the thickness direction are used. Numerical examples are presented to discuss effective parameters influence on the response of the hybrid shell.
http://jsm.iau-arak.ac.ir/article_515356_95271759df91204195846e6a7118cb29.pdf
2015-09-30T11:23:20
2020-06-03T11:23:20
344
363
Pyroelectric
magnetic field
Imperfect bonding
Exponentially graded cylindrical shell
Elastic foundation
M
Saadatfar
true
1
Faculty of Mechanical Engineering, K.N. Toosi University of Technology
Faculty of Mechanical Engineering, K.N. Toosi University of Technology
Faculty of Mechanical Engineering, K.N. Toosi University of Technology
AUTHOR
M
Aghaie-Khafri
maghaei@kntu.ac.ir
true
2
Faculty of Mechanical Engineering, K.N. Toosi University of Technology
Faculty of Mechanical Engineering, K.N. Toosi University of Technology
Faculty of Mechanical Engineering, K.N. Toosi University of Technology
LEAD_AUTHOR
[1] Ghorbanpour Arani A., Amir S., 2011, Magneto-thermo-elastic stresses and perturbation of magnetic field vector in a thin functionally graded rotating disk, Journal of Solid Mechanics 3 (4): 392-407.
1
[2] Ghorbanpour Arani A., Golabi S., Saadatfar M., 2006, Stress and electric potential fields in piezoelectric smart spheres, Journal of Mechanical Science and Technology 20: 1920-1933.
2
[3] Saadatfar M., Razavi S.A., 2009, Piezoelectric hollow cylinder with thermal gradient, Journal of Mechanical Science and Technology 23: 47-55.
3
[4] Saadatfar M., Rastgoo A., 2008, Stress in piezoelectric hollow sphere with thermal gradient, Journal of Mechanical Science and Technology 22: 1460-1467.
4
[5] Shariyat M., 2009, Dynamic buckling of imperfect laminated plates with piezoelectric sensors and actuators subjected to thermo-electro-mechanical loadings, considering the temperature-dependency of the material properties, Composite Structures 88 (2): 228-239.
5
[6] Shariyat M., 2008, Dynamic buckling of suddenly loaded imperfect hybrid FGM cylindrical shells with temperature-dependent material properties under thermo-electro-mechanical loads, International Journal of Mechanical Sciences 50 (12): 1561-1571.
6
[7] Shariyat M., 2009, Vibration and dynamic buckling control of imperfect hybrid FGM plates with temperature-dependent material properties subjected to thermo-electro-mechanical loading conditions, Composite Structures 88 (2): 240-252.
7
[8] Ebrahimi F., Rastgoo A., 2009, Temperature effects on nonlinear vibration of FGM plates coupled with piezoelectric actuators, Journal of Solid Mechanics 1 (4): 260-364.
8
[9] Rastgo ghamsari A., Ebrahimi F., 2008, Free vibration analysis of smart annular FGM plates integrated with piezoelectric layers, Smart Materials and Structures 17: 015044.
9
[10] Ebrahimi F., Rastgo ghamsari A., 2008, FSDPT based study for vibration analysis of piezoelectric coupled annular FGM plate, Journal of Mechanical Science and Technology 23: 2157-2168.
10
[11] Jabbari M., Farzaneh Joubaneh E., Khorshidvand A.R., Eslami M.R., 2013, Buckling analysis of porous circular plate with piezoelectric actuator layers under uniform radial compression, International Journal of Mechanical Sciences 70: 50-56.
11
[12] Khorshidvand A.R., Jabbari M., Eslami M.R., 2012, Thermoelastic buckling analysis of functionally graded circular plates integrated with piezoelectric layers, Journal of Thermal Stresses 35: 695-717.
12
[13] Khorshidvand A.R., Farzaneh Joubaneh E., Jabbari M., Eslami M.R., 2014, Buckling analysis of a porous circular plate with piezoelectric sensor–actuator layers under uniform radial compression, Acta Mechanica 225: 179-193.
13
[14] Saadatfar M., Aghaie-Khafri M., 2014, Hygrothermosmagnetoelectroelastic analysis of a functionally graded magnetoelectroelastic hollow sphere resting on an elastic foundation, Smart Materials and Structures 23: 035004.
14
[15] Alibeigloo A., Nouri V., 2010, Static analysis of functionally graded cylindrical shell with piezoelectric layers using differential quadrature method, Composite Structures 92: 1775-1785.
15
[16] Alibeigloo A., Kani A.M., Pashaei M.H., 2012, Elasticity solution for the free vibration analysis of functionally graded cylindrical shell bonded to thin piezoelectric layers, International Journal of Pressure Vessels and Piping 89: 98-111.
16
[17] Alibeigloo A., 2011, Thermoelastic solution for static deformations of functionally graded cylindrical shell bonded to thin piezoelectric layers, Composite Structures 93: 961-972.
17
[18] Alibeigloo A., 2011, Exact solution of an FGM cylindrical panel integrated with sensor and actuator layers under thermomechanical load, Smart Materials and Structures 20: 035002.
18
[19] Akbari Alashti R., Khorsand M., 2011, Three-dimensional thermo-elastic analysis of a functionally graded cylindrical shell with piezoelectric layers by differential quadrature method, International Journal of Pressure Vessels and Piping 88: 167-80.
19
[20] Akbari Alashti R., Khorsand M., 2012, Three-dimensional dynamo-thermo-elastic analysis of a functionally graded cylindrical shell with piezoelectric layers by DQ-FD coupled, International Journal of Pressure Vessels and Piping 96: 49-67.
20
[21] Ghorbanpour Arani A.G., Salari M., Khademizadeh H., Arefmanesh A., 2009, Magnetothermoelastic transient response of a functionally graded thick hollow sphere subjected to magnetic and thermoelastic fields, Archive of Applied Mechanics 79 (6-7): 481-497.
21
[22] Ghorbanpour Arani A., Bakhtiari R., Mohammadimehr R., Mozdianfard M.R., 2001, Electro-magneto-mechanical responses of a radially polarized rotating functionally graded piezoelectric shaft, Turkish Journal of Engineering and Environmental Sciences 36 (1): 33-44.
22
[23] Ghorbanpour Arani A., Kolahchi R., Mosallaie Barzoki A.A., 2011, Effect of material in-homogeneity on electro-thermo-mechanical behaviors of functionally graded piezoelectric rotating shaft, Applied Mathematical Modelling 35 (6): 2771-2789.
23
[24] Kong T., Li D.X., Wang X., 2009, Thermo-magneto-dynamic stresses and perturbation of magnetic ﬁeld vector in a non-homogeneous hollow cylinder, Applied Mathematical Modelling 33: 2939-2950.
24
[25] Khalili S.M.R., Mohazzab A.H., Jabbari M., 2009, Analysis on centrifugal load effect in FG hollow sphere subjected to magnetic field, Journal of Solid Mechanics 1: 300-312.
25
[26] Dai H.L., Hong L., Fu Y.M., Xiao X., 2010, Analytical solution for electro-magneto-thermo-elastic behaviors of a functionally graded piezoelectric hollow cylinder, Applied Mathematical Modelling 34: 343-357.
26
[27] Shariyat M., Asemi K., 2014, Three-dimensional non-linear elasticity-based 3D cubic B-spline finite element shear buckling analysis of rectangular orthotropic FGM plates surrounded by elastic foundations, Composites Part B: Engineering 56: 934-947.
27
[28] Shariyat M., Mohammadjani R., 2013, Three-dimensional stress field analysis of rotating thick bidirectional functionally graded axisymmetric annular plates with nonuniform loads and elastic foundations, Journal of Composite Materials 48: 2879-2904.
28
[29] Shariyat M., Alipour M.M., 2011, Differential transform vibration and modal stress analyses of circular plates made of two-directional functionally graded materials resting on elastic foundations, Archive of Applied Mechanics 81: 1289-1306.
29
[30] Shariyat M., Alipour M.M., 2013, A power series solution for vibration and complex modal stress analyses of variable thickness viscoelastic two-directional FGM circular plates on elastic foundations, Applied Mathematical Modelling 37: 3063-3076.
30
[31] Shariyat M., Jafari R., 2013, A micromechanical approach for semi-analytical low-velocity impact analysis of a bidirectional functionally graded circular plate resting on an elastic foundation, Meccanica 48: 2127-2148.
31
[32] Alipour M.M., Shariyat M., A power series solution for free vibration of variable thickness mindlin circular plates with two-directional material heterogeneity and elastic foundations, Journal of Solid Mechanics 3 :183-197.
32
[33] Ghorbanpour Arani A., Kolahchi R., Mosallaie Barzoki A.A., Mozdianfard M.R., Noudeh Farahani M., 2012, Elastic foundation effect on nonlinear thermo-vibration of embedded double-layered orthotropic grapheme sheets using differential quadrature method, Journal of Mechanical Engineering Science 227(4): 862-879.
33
[34] Saadatfar M., Aghaie-Khafri M., 2014, Electromagnetothermoelastic behavior of a rotating imperfect hybrid functionally graded hollow cylinder resting on an elastic foundation, Smart Structures and Systems, in press.
34
[35] John D.K., 1984, Electromagnetics, McGraw-Hill, Inc, New York.
35
[36] Kiani Y., Akbarzadeh A.H., Chen Z.T., Eslami M.R., 2012, Static and dynamic analysis of an FGM doubly curved panel resting on the Pasternak-type elastic foundation, Composite Structure 94: 2474-2484.
36
[37] Kapuria S., Nair P.G., 2010, Exact three-dimensional piezothermoelasticity solution for dynamics of rectangular cross-ply hybrid plates featuring interlaminar bonding imperfections, Composite Science and Technology 70: 752-762.
37
[38] Shu C., 2000, Differential Quadrature and its Application in Engineering, New York, Springer Publication.
38
[39] Chen W.Q., Bian Z.G., Lv C.F., 2004, 3D free vibration analysis of a functionally graded piezoelectric hollow cylinder ﬁlled with compressible ﬂuid, International Journal of Solids and Structures 41: 947-964.
39
[40] Cheng Z.Q., Jemah A.K., Williams F.W., 1996, Theory for multilayered anisotropic plates with weakened interfaces, Journal of Applied Mechanic 63: 1019-1026.
40
[41] Cheng Z.Q., Kennedy D., Williams F.W., 1996, Effect of interfacial imperfection on buckling and bending behavior of composite laminates, AIAA Journal 34: 2590-2595.
41
[42] Shu X.P., Soldatos K.P., 2001, An accurate delamination model for weakly bonded laminates subjected to different sets of edge boundary conditions, International Journal of Mechanical Science 43: 935-959.
42