2021
13
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1

On The Free Vibration of Doubly Clamped SingleWalled Coiled Carbon Nanotubes: A Novel Size Dependent Continuum Model
http://jsm.iauarak.ac.ir/article_682454.html
10.22034/jsm.2020.1883837.1520
1
In this paper, the size dependent vibration behavior of doubly clamped singlewalled coiled carbon nanotubes (CCNTs) is investigated using nonlocal helical beam model. This model is based on Washizu’s beam theory so that all displacement components of CCNT in the equations of motion are defined at the centroidal principal axis and transverse shear deformations are considered. After deriving the nonlocal free vibration equations, they are solved by the generalized differential quadrature method (GDQM). Then, the natural frequencies and corresponding mode shapes are determined for the clampedclamped boundary conditions (BCs). After that, a parametric study on the effect of different parameters, including the helix cylinder to the tube diameters ratio , the number of pitches, the helix pitch angle, and the nonlocal parameter on the natural frequencies is conducted. It is worth noting that the results of the proposed method would be useful in the practical applications of CCNTs such as using in nanoelectromechanical systems.
0

114
133


F
Darvishi
Department of Mechanical Engineering, University of Zanjan, Zanjan, Iran
Iran


O
Rahmani
Department of Mechanical Engineering, University of Zanjan, Zanjan, Iran
Iran
omid.rahmani@znu.ac.ir
Free vibration
Coiled carbon nanotubs
Helical spring model
Nonlocal elasticity theory
Differential quadrature method
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nanosprings, Physical Review Letters 92(17): 175502.##[13] Liu L., Gao H., Zhao J., Lu J., 2010, Superelasticity of carbon nanocoils from atomistic quantum simulations, Nanoscale Research Letters 5(3): 478483.##[14] Ghaderi S.H., Hajiesmaili E., 2013, Nonlinear analysis of coiled carbon nanotubes using the molecular dynamics finite element method, Materials Science and Engineering: A 582: 225234.##[15] Wang J., Kemper T., Liang T., Sinnott S.B., 2012, Predicted mechanical properties of a coiled carbon nanotube, Carbon 50(3): 968976.##[16] Wu J., He J., Odegard G.M., Nagao S., Zheng Q., Zhang Z., 2013, Giant stretchability and reversibility of tightly wound helical carbon nanotubes, Journal of the American Chemical Society 135(37): 1377513785.##[17] Khani N., Yildiz M., Koc B., 2016, Elastic properties of coiled carbon nanotube reinforced nanocomposite: A finite element study, Materials & Design 109: 123132.##[18] Kianfar A., Seyyed Fakhrabadi M.M., Mashhadi M.M., 2019, Prediction of mechanical and thermal properties of polymer nanocomposites reinforced by coiled carbon nanotubes for possible application as impact absorbent, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234(4): 882902.##[19] Yarali E., Baniassadi M., Baghani M., 2019, Numerical homogenization of coiled carbon nanotube reinforced shape memory polymer nanocomposites, Smart Materials and Structures 28(3): 035026.##[20] Fakhrabadi M.M.S., Amini A., Reshadi F., Khani N., Rastgoo A., 2013, Investigation of buckling and vibration properties of heterojunctioned and coiled carbon nanotubes, Computational Materials Science 73: 93112.##[21] Rahmani O., Darvishi F., 2018, Investigation of the free longitudinal vibration of singlewalled coiled carbon nanotubes (SWCCNTs) using molecular dynamics simulation, Amirkabir Journal of Mechanical Engineering 51:13.##[22] Arash B., Wang Q., Wu N., 2012, Gene detection with carbon nanotubes, Journal of Nanotechnology in Engineering and Medicine 3(2): 020902.##[23] Gajbhiye S.O., Singh S.P., 2015, Vibration characteristics of open and cappedend singlewalled carbon nanotubes using multiscale analysis technique incorporating Tersoff–Brenner potential, Acta Mechanica 226(11): 35653586.##[24] Ramezani AliAkbari H., FirouzAbadi R., 2015, Nonlinear free vibration of singlewalled carbon nanotubes embedded in viscoelastic medium based on asymptotic perturbation method, Journal of Science and Engineering 06: 4258.##[25] Farokhi H., Païdoussis M.P., Misra A.K., 2016, A new nonlinear model for analyzing the behaviour of carbon nanotubebased resonators, Journal of Sound and Vibration 378: 5675.##[26] Hussain M., Naeem M.N., 2017, Vibration analysis of singlewalled carbon nanotubes using wave propagation approach, International Journal of Mechanical Sciences 8(1): 155164.##[27] Tadi Beni Y., Mehralian F., Karimi Zeverdejani M., 2017, Free vibration of anisotropic singlewalled carbon nanotube based on couple stress theory for different chirality, Journal of Low Frequency Noise, Vibration and Active Control 36(3): 277293.##[28] Jiang J., Wang L., Zhang Y., 2017, Vibration of singlewalled carbon nanotubes with elastic boundary conditions, International Journal of Mechanical Sciences 122: 156166.##[29] Shahabodini A., Ansari R., Darvizeh M., 2018, Atomisticcontinuum modeling of vibrational behavior of carbon nanotubes using the variational differential quadrature method, Composite Structures 185: 728747.##[30] Chwał M., 2018, Nonlocal analysis of natural vibrations of carbon nanotubes, Journal of Materials Engineering and Performance 27(11): 60876096.##[31] Eltaher M.A., Almalki T.A., Almitani K.H., Ahmed K.I.E., Abdraboh A.M., 2019, Modal participation of fixed–fixed singlewalled carbon nanotube with vacancies, International Journal of Advanced Structural Engineering 11(2): 151163.##[32] Majeed A., Zeeshan A., Mubbashir S., 2019, Vibration analysis of carbon nanotubes based on cylindrical shell by inducting Winkler and Pasternak foundations, Mechanics of Advanced Materials and Structures 26(13): 11401145.##[33] Hussain M., Naeem M.N., 2020, Mass density effect on vibration of zigzag and chiral SWCNTs: A theoretical study, Journal of Sandwich Structures & Materials DOI:10.1177/1099636220906257.##[34] Hayati H., Hosseini S.A., Rahmani O., 2017, Coupled twist–bending static and dynamic behavior of a curved singlewalled carbon nanotube based on nonlocal theory, Microsystem Technologies 23(7): 23932401.##[35] Wahl A.M., 1963, Mechanical Springs, McGrawHill, New York.##[36] Wittrick W.H., 1966, On elastic wave propagation in helical springs, International Journal of Mechanical Sciences 8(1): 2547.##[37] Mottershead J.E., 1980, Finite elements for dynamical analysis of helical rods, International Journal of Mechanical Sciences 22(5): 267283.##[38] Pearson D., 1982, The transfer matrix method for the vibration of compressed helical springs, Journal of Mechanical Engineering Science 24(4): 163171.##[39] Yildirim V., 1996, Investigation of parameters affecting free vibration frequency of helical springs, International Journal for Numerical Methods in Engineering 39(1): 99114.##[40] Yildirim V., On the linearized disturbance dynamic equations for buckling and free vibration of cylindrical helical coil springs under combined compression and torsion, Meccanica 47(4): 10151033.##[41] Yildirim V., 2016, Axial static load dependence free vibration analysis of helical springs based on the theory of spatially curved bars, Latin American Journal of Solids and Structures 13: 28522875.##[42] Lee J., Thompson D.J., 2001, Dynamic stiffness formulation, free vibration and wave motion of helical springs, Journal of Sound and Vibration 239(2): 297320.##[43] Lee J., 2007, Free vibration analysis of cylindrical helical springs by the pseudospectral method, Journal of Sound and Vibration 302(1): 185196.##[44] Yu A.M., Yang C., 2010, Formulation and evaluation of an analytical study for cylindrical helical springs, Acta Mechanica Solida Sinica 23(1): 8594.##[45] Washizu K., 1964, Some considerations on a naturally curved and twisted slender beam, Journal of Mathematics and Physics 43(14): 111116.##[46] Timoshenko S.P., Goodier J.N., 1951, Theory of Elasticity, McGrawHilI.##[47] Brancheriau L., 2006, Influence of cross section dimensions on Timoshenko’s shear factor – Application to wooden beams in freefree flexural vibration, Annals of Forest Science 63(3): 319321.##[48] Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics 54(9): 47034710.##[49] Challamel N., Zhang Z., Wang C.M., Reddy J.N., Wang Q., Michelitsch T., Collet B., 2014, On nonconservativeness of Eringen’s nonlocal elasticity in beam mechanics: correction from a discretebased approach, Archive of Applied Mechanics 84(9): 12751292.##[50] Hache F., 2018,Vibration of Nonlocal Carbon Nanotubes and Graphene Nanoplates, Université de Bretagne Sud.##[51] Bert C.W., Malik M., 1996, Differential quadrature method in computational mechanics: A review, Applied Mechanics Reviews 49(1): 128.##[52] Malekzadeh P., Golbahar Haghighi M.R., Atashi M.M., 2010, Outofplane free vibration of functionally graded circular curved beams in thermal environment, Composite Structures 92(2): 541552.##[53] Zhang Y.Y., Wang C.M., Tan V.B.C., 2009, Assessment of timoshenko beam models for vibrational behavior of singlewalled carbon nanotubes using molecular dynamics, Advances in Applied Mathematics and Mechanics 1(1): 89106.##[54] Arash B., Ansari R., 2010, Evaluation of nonlocal parameter in the vibrations of singlewalled carbon nanotubes with initial strain, Physica E: LowDimensional Systems and Nanostructures 42(8): 20582064.##]
1

Comparative Analysis of Energy Absorption Capacity of Single and Nested Metal Matrix Composite Tubes Under QuasiStatic Lateral and Axial Loading
http://jsm.iauarak.ac.ir/article_682340.html
10.22034/jsm.2020.1889852.1537
1
In this paper the behavior of nested tube systems under quasistatic compressive loading is investigated. Two nested tube systems with metal matrix composite are subjected to compressive loads so that in the system A the exterior and interior tubes are under axial and lateral loads, respectively but in the system B the exterior and interior tubes are under lateral and axial loads, respectively. Furthermore, these systems behavior are studied numerically. The results show that energy absorption capacity for both of nested tube systems is greater than the sum of energy absorption capacities of two constitutive tubes when loaded individually. Also, it is shown that the absorbed energy for system A is greater than that of system B. In this research the effects of section geometry and the condition of loading (axial or lateral)of thinwalled tubes on energy absorption capacity and the value of the peak load are studied both experimentally and numerically.
0

134
143


S
Dehghanpour
Department of Mechanics, Tuyserkan Branch, Islamic Azad University, Tuyserkan, Iran
Iran


K
Hosseini Safari
Department of Mechanical Engineering, Central Tehran Branch, Islamic Azad University, Tehran, Iran
Iran
keivan.hosseini.safari@gmail.com


F
Barati
Department of Mechanical Engineering, Hamedan Branch, Islamic Azad University, Hamedan, Iran
Iran


M.M
Attar
Department of Mechanical Engineering, Hamedan Branch, Islamic Azad University, Hamedan, Iran
Iran
Nested tube systems tubes
energy absorption
Metal matrix composite
Quasistatic loading
[[1] Alexander J. M., 1960, An approximate analysis of the collapse of thin cylindrical shells under axial loading, Journal of Mechanics and Applied Mathematics 13(1): 1015.##[2] Pugsley Sir A., Macaulay M.,1960, The large scale crumpling of thin cylindrical columns, Journal of Mechanics and Applied Mathematics 13: 19.##[3] Pussley Sir A.,1960, The crumpling of tubular structures under impact conditions, Proceedings of the Symposium on The Use of Aluminum in Railway Rolling Stock Institute of Locomotive Engineers, The Aluminum Development Association, London.##[4] Mamalis A. G., Johnson W.,1983, The Quasistatic crumpling of thinwalled circular and frusta under axial compression, International Journal of Mechanical Sciences 25(9/10): 713732.##[5] Abramowicz W.,1983, The effective crushing distance in axially compressed thin walled metal columns, International Journal of Impact Engineering 1(3): 309317.##[6] Abramowicz W., Jones N.,1984, Dynamic axial crushing of circular tubes, International Journal of Impact Engineering 2(3): 263281.##[7] Abramowicz W., Jones N.,1986, Dynamic progressive buckling of circular and square tubes, International Journal of Impact Engineering 4(4): 243270.##[8] Mamalis A. G., Manolakos D.E., Saigal S., Viegelahn G., Johnson W., 1986, Extensible plastic collapse of thinwalled frusta as energy absorber, International Journal of Mechanical Sciences 28(4): 219229.##[9] Bardi F. C., Yun H.D., Kyriakides S.,2003, On the axisymmetric progressive crushing of circular tubes under axial compression, International Journal of Solids and Structures 40: 31373155.##[10] Sedghi M., Alavi Nia A., Labbafi H., Atmri P.,2008, Effect of circumferential gFooves geometries on crashworthiness of ax axially loaded cylindrical tubes, 16th Annual and 12th International Conference Mechanical Engineering, Bahonar University, Kerman, Iran.##[11] Kheirikhah M.M , Dehghanpour S. , Rahmani M.,2016, Quasistatic axial compression of thinwalled circular composite tubes, Journal of Structural Engineering and GeoTechniques 6(1): 913.##[12] Rihuan L.,Xianghua L.,Shoudong C.,Xianlei H.,Lizhong L., 2017, Axial crashing analysis for tailor rolled square tubes with axially graded both wall thickness and material strength,ThinWalled Structures 117: 1024.##[13] ZhangY.,Xu X.,Wang J.,Chen T.,Wang C.H.,2018, Crushing analysis for novel bioinspired hierarchical circular structures subjected to axial load, International Journal of Mechanical Sciences 140: 407431.##[14] Mutchler L. D.,1960, Energy absorption of aluminum tubes, Journal of Applied Mechanics 27(4): 740 743.##[15] Deruntz V. A. , Hodge P.G., 1963,Crushing of a tube between rigid plates, Journal of Applied Mechanics 30: 391398.##[16] Reid S. R., Reddy T.Y.,1978, Effects of strain hardening on the lateral compression of tube between rigid plates, International Journal of Solids and Structures 14(3): 213225.##[17] Reddy T. Y., Reid S.r.,1979, Lateral compression of tubes and tubesystem with side constrains, International Journal of Mechanical Sciences 21(3): 187199.##[18] Gupta N. K., Sekhon G.S., Gupta P.K., 2005, Study of lateral compression of round metallic tube, ThinWalled Structures 43: 895922.##[19] Morris E., Olabi A.G., Hashmi M.J., 2005, Analysis of nested tubes type energy absoMrs with different indenters and exterior constraints, ThinWalled Structures 44: 827885.##[20] Dehghanpour S., Yousefi A., 2012, Lateral crushing of square and rectangular metallic tubes under different quasistatic conditions, World Academy of Science, Engineering and Technology, International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering 6(1): 628632.##[21] Fan Z., 2013, Dynamic lateral crushing of empty and sandwich tubes, International Journal of Impact Engineering 53: 316.##[22] Baroutaji A.,2015, Analysis and optimization of sandwich tubes energy absorbers under lateral loading, International Journal of Impact Engineering 82: 7488.##[23] Baroutaji A., Olabi A.G,2014, Lateral collapse of short length sandwich tubes compressed by different indenters and exposed to external constraints, Materialwissenschaft Werkstofftechnik 45(5): 371384.##[24] Morris E., Olabi A., Hashmi M., 2007, Lateral crushing of circular and noncircular tube systems under quasistatic conditions, Journal of Materials Processing Technology 191(1): 132135.##[25] Olabi A.,Morris E.,Hashmi S.,Gilchrist M., 2008, Optimised design of nested oblong tube energy absorbers under lateral impact loading, International Journal of Impact Engineering 35(1): 1026.##[26] Olabi A.,Morris E.,Hashmi S.,Gilchrist M., 2008,Optimised design of nested circular tube energy absorbers under lateral impact loading, International Journal of Mechanical Sciences 50(1): 104116.##[27] Haibo W., Jialing Y., Hua L., Yuxin S., T.X. Yu., 2015, Internally nested circular tube system subjected to lateral impact loading,ThinWalled Structures 91: 7281.##[28] Dehghanpour S. , Khalili H. , HoseiniSafari K. , Mohammad Y., 2015, Experimental and numerical investigation of lateral loading of thin–walled tube with different indenter, Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering 8(3): 173184.##[29] Baroutaji A., Gilchrist M.D. , Olabi A.G., 2016, Quasistatic impact and energy absorption of internally nested tubes subjected to lateral loading, ThinWalled Structures 98: 337350.##]
1

Linear and Nonlinear Free Vibration of a TwoDimensional Multiferroic Composite Plate Subjected to MagnetoElectroThermoAerodynamic Loading
http://jsm.iauarak.ac.ir/article_682341.html
10.22034/jsm.2020.1891091.1539
1
Vibration response of a twodimensional magnetoelectroelastic plate is investigated in this paper. The considered multiphase plate is rectangular and simplysupported resting on an elastic foundation. The plate is under aerodynamic pressure and subjected to temperature change. It is also assumed that the magnetoelectroelastic body is poled along the z direction and subjected to electric and magnetic potentials between the upper and lower surfaces. The nonlinear vibrational analysis of the described plate is considered as an innovation of the present paper, which had not been done before. To model this problem, thirdorder shear deformation theory along with Gauss’s laws for electrostatics and magnetostatics, firstorder piston theory, and Galerkin and multiple times scale methods are used. After validating the presented method, effects of several parameters on the natural frequency, time history, backbone curve, and phase plane diagram of this smart composite plate are obtained. It is found that for plates with constant a/h ratio, electric and magnetic potentials have noticeable effects on the time histories, phase plane diagrams and backbone curves of the plates with smaller thicknesses. In addition, the numerical results of this research indicate that some parameters have considerable effect on the vibration behavior of presented plate. Elastic parameters of the foundation, applied electric and magnetic potentials, and environment temperature are important parameters in this analysis.
0

144
163


S
Razavi
Department of Mechanical Engineering, Tabriz Technical and Vocational College, Tabriz, Iran
Iran
soheilrazavi@outlook.com


H
Ghashochi Bargh
Imam Khomeini International University Buein Zahra Higher Education Center of Engineering and Technology, Qazvin, Iran
Iran
Magnetoelectroelastic
Twodimensional plate
Thirdorder plate theory
Nonlinear vibration
Aerodynamic loading
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magnetoelectroelastic structures, Journal of Intelligent Material Systems and Structures 29: 30063022.##[11] Shooshtari A., Razavi S., 2017, Vibration of a multiphase magnetoelectroelastic simply supported rectangular plate subjected to harmonic forces, Journal of Intelligent Material Systems and Structures 28: 451467.##[12] Zhang X.L., Chen X.C., Yang E., Li H.F., Liu J.B., Li Y.H., 2019, Closedform solutions for vibrations of a magnetoelectroelastic beam with variable cross section by means of Green’s functions, Journal of Intelligent Material Systems and Structures 30: 8299.##[13] Mohammadimehr M., Okhravi S.V., Akhavan Alavi S.M., 2018, Free vibration analysis of magnetoelectroelastic cylindrical composite panel reinforced by various distributions of CNTs with considering open and closed circuits boundary conditions based on FSDT, Journal of Vibration and Control 24: 15511569.##[14] Kiani A., Sheikhkhoshkar M., Jamalpoor A., Khanzadi M., 2018, Free vibration problem of embedded magnetoelectrothermoelastic nanoplate made of functionally graded materials via nonlocal thirdorder shear deformation theory, Journal of Intelligent Material Systems and Structures 29: 741763.##[15] Farajpour M.R., Shahidi A.R., Hadi A., Farajpour A., 2018, Influence of initial edge displacement on the nonlinear vibration, electrical and magnetic instabilities of magnetoelectroelastic nanofilms, Mechanics of Advanced Materials and Structures 26: 14691481.##[16] Vinyas M., 2019, A higherorder free vibration analysis of carbon nanotubereinforced magnetoelectroelastic plates using finite element methods, Composites Part B: Engineering 158: 286301.##[17] Xue C.X., Pan E., Zhang S.Y., Chu H.J., 2011, Large deflection of a rectangular magnetoelectroelastic thin plate, Mechanics Research Communications 38: 518523.##[18] Razavi S., Shooshtari A., 2015, Nonlinear free vibration of magnetoelectroelastic rectangular plates, Composite Structures 119: 377384.##[19] Shooshtari A., Razavi S., 2015, Linear and nonlinear free vibration of a multilayered magnetoelectroelastic doublycurved shell on elastic foundation, Composites Part B: Engineering 78: 95108.##[20] Shabanpour S., Razavi S., Shooshtari A., 2019, Nonlinear vibration analysis of laminated magnetoelectroelastic rectangular plate based on thirdorder shear deformation theory, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering 43: 211223.##[21] Ansari R., Gholami R., Rouhi H., 2019, Geometrically nonlinear free vibration analysis of shear deformable magnetoelectroelastic plates considering thermal effects based on a novel variational approach, ThinWalled Structures 135: 1220.##[22] Carrera E., Zappino E., 2013, Aeroelastic analysis of pinched panels in supersonic flow changing with altitude, Journal of Spacecraft and Rockets 51: 187199.##[23] Zhao M.H., Zhang W., 2014, Nonlinear dynamics of composite laminated cantilever rectangular plate subject to thirdorder piston aerodynamics, Acta Mechanica 225: 19852004.##[24] Meijer M.C., Dala L., 2015, Zerothorder flutter prediction for cantilevered plates in supersonic flow, Journal of Fluids and Structures 57: 196205.##[25] Chen T., Xu M., Xie D., An X., 2017, Postflutter response of a flexible cantilever plate in low subsonic flows, International Journal of NonLinear Mechanics 91: 113127.##[26] Eugeni M., Mastroddi F., Dowell E.H., 2017, Normal form analysis of a forced aeroelastic plate, Journal of Sound and Vibration 390: 141163.##[27] Pacheco D.R.Q., Marques F.D., Ferreira A.J.M., 2018, Finite element analysis of fluttering plates reinforced by flexible beams: An energybased approach, Journal of Sound and Vibration 435: 135148.##[28] Raja S., Pashilkar A.A., Sreedeep R., Kamesh J.V., 2006, Flutter control of a composite plate with piezoelectric multilayered actuators, Aerospace Science and Technology 10: 435441.##[29] Song Z.G., Li F.M., 2012, Active aeroelastic flutter analysis and vibration control of supersonic 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Mohammadi M., Sobhani Aragh B., Yaghoobi H., 2013, Nonlinear free and forced thermoelectroaeroelastic vibration and dynamic response of piezoelectric functionally graded laminated composite shells, Part I: Theory and analytical solutions, Composite Structures 103: 179187.##[40] Rafiee M., Mohammadi M., Sobhani Aragh B., Yaghoobi H., 2013, Nonlinear free and forced thermoelectroaeroelastic vibration and dynamic response of piezoelectric functionally graded laminated composite shells Part II: Numerical results, Composite Structures 103: 188196.##[41] Arefi M., Ashraf M. Zenkour., 2017, Nonlocal electrothermomechanical analysis of a sandwich nanoplate containing a Kelvin–Voigt viscoelastic nanoplate and two piezoelectric layers, Acta Mechanica 228: 475493.##[42] Arefi M., Ashraf M. Zenkour., 2017, Thermoelectromechanical bending behavior of sandwich nanoplate integrated with piezoelectric facesheets based on trigonometric plate theory, Composite Structures 162: 108122.##[43] Ashraf M. Zenkour., Arefi M., 2017, Nonlocal transient electrothermomechanical vibration and bending analysis of a functionally graded piezoelectric singlelayered nanosheet rest on viscoPasternak foundation, Journal of Thermal Stresses 40: 167184.##[44] Arefi M., Ashraf M. Zenkour., 2019, Effect of thermomagnetoelectromechanical fields on the bending behaviors of a threelayered nanoplate based on sinusoidal sheardeformation plate theory, Journal of Sandwich Structures & Materials 21: 639669.##[45] Arefi M., Ashraf M. 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1

SizeDependent Vibration Problem of Two VerticallyAligned SingleWalled Boron Nitride Nanotubes Conveying Fluid in Thermal Environment Via Nonlocal Strain Gradient Shell Model
http://jsm.iauarak.ac.ir/article_682264.html
10.22034/jsm.2020.1895313.1561
1
The free vibration behavior of two fluidconveying verticallyaligned singlewalled boron nitride nanotubes are studied in the present paper via the nonlocal strain gradient piezoelectric theory in conjunction with the firstorder shear deformation shell assumption in thermal environments. It is supposed that the two adjacent boron nitride nanotubes are coupled with each other in the context of linear deformation by van der Waals interaction according to Lennard–Jones potential function. To achieve a more accurate modeling for lowscale structures, both hardening and softening effects of materials are considered in the nonlocal strain gradient approach. The motion equations and associated boundary conditions are derived by means of Hamilton’s variational principle, then solved utilizing differential quadrature method. Numerical studies are done to reveal the effect of different boundary conditions, size scale parameters, aspect ratio, intertube distance, and temperature change on the variations of dimensionless eigenfrequency and critical flow velocity.
0

164
185


P
Roodgar Saffari
Department of Mechanical Engineering, Lahijan Branch, Islamic Azad University, Lahijan, Iran
Iran


M
Fakhraie
Department of Mechanical Engineering, Lahijan Branch, Islamic Azad University, Lahijan, Iran
Iran
fakhraie@liau.ac.ir


M. A
Roudbari
School of Engineering, RMIT University, PO Box 71, Bundoora, VIC, 3083, Australia
Australia
Nonlocal strain gradient
Fluidconveying boron nitride nanotube
Free vibration
Piezoelectric cylindrical shell
Thermal environment
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Induced nonlocal electric wave propagation of boron nitride nanotubes, Journal of Mechanical Science and Technology 27: 30633071.##[27] Ghorbanpour Arani A., Jalilvand A., Ghaffari M., 2014, Nonlinear pullin instability of boron nitride nanoswitches considering electrostatic and Casimir forces, Scientiairanica 21: 11831196.##[28] Ghorbanpour Arani A., Karamali R.A., Roudbari M.A., 2015, Axial and transverse vibration of SWBNNT system coupled Pasternak foundation under a moving nanoparticle using Timoshenko beam theory, Journal of Solid Mechanics 7: 239254.##[29] Arani A.G., Roudbari M.A., Amir S., 2016, Longitudinal magnetic field effect on wave propagation of fluidconveyed SWCNT using Knudsen number and surface considerations, Applied Mathematical Modelling 40: 20252038.##[30] Arani A.G., Roudbari M.A., Amir S., 2012, Nonlocal vibration of SWBNNT embedded in bundle of CNTs under a moving nanoparticle, Physica B Condensed Matter 407: 3646–3653##[31] Ghorbanpour Arani A., Roudbari M.A., 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Journal of the Brazilian Society of Mechanical Sciences and Engineering 40: 499.##[36] Bahaadini R., Saidi A.R., Hosseini M., 2018, Dynamic stability of fluidconveying thinwalled rotating pipes reinforced with functionally graded carbon nanotubes, Acta Mechanica 229: 50135029.##[37] Azarboni H.R., 2019, Magnetothermal primary frequency response analysis of carbon nanotube considering surface effect under different boundary conditions, Composites Part B: Engineering 165: 435441.##[38] Tyagi M., Khan A., Husain M., Husain S., 2019, Analytical and computational studies of the nonlinear vibrations of SWCNTs embedded in viscous elastic matrix using KBM method, Chaos: An Interdisciplinary Journal of Nonlinear Science 29: 23134.##[39] Mohammadimehr M., Mohandes M., Moradi M., 2016, Size dependent effect on the buckling and vibration analysis of doublebonded nanocomposite piezoelectric plate reinforced by boron nitride nanotube based on modified couple stress theory, Journal of Vibration and Control 22: 17901807.##[40] Mohammadimehr M., Atifeh S.J., Rousta Navi B., 2018, Stress and free vibration analysis of piezoelectric hollow circular FGSWBNNTs reinforced nanocomposite plate based on modified couple stress theory subjected to thermomechanical loadings, Journal of Vibration and Control 24: 34713486.##[41] Ghorbanpour Arani A., Jalilvand A., Kolahchi R., 2014, Nonlinear strain gradient theory based vibration and instability of boron nitride microtubes conveying ferrofluid, International Applied Mechanics 6: 1450060.##[42] Bahaadini R., Hosseini M., Jamalpoor A., 2017, Nonlocal and surface effects on the flutter instability of cantilevered nanotubes conveying fluid subjected to follower forces, Physica B Condensed Matter 509: 5561.##[43] Saffari P.R., Fakhraie M., Roudbari M.A., 2020, Nonlinear vibration of fluid conveying cantilever nanotube resting on viscopasternak foundation using nonlocal strain gradient theory, Micro & Nano Letters 15:181186.##[44] Arani A.G., Roudbari M.A., 2013, Nonlocal piezoelastic surface effect on the vibration of viscoPasternak coupled boron nitride nanotube system under a moving nanoparticle, Thin Solid Films 542: 232241.##[45] Mercan K., Civalek Ö., 2016, DSC method for buckling analysis of boron nitride nanotube (BNNT) surrounded by an elastic matrix, Composite Structures 143: 300309.##[46] Akgöz B., Civalek Ö., 2016, Bending analysis of embedded carbon nanotubes resting on an elastic foundation using strain gradient theory, Acta Astronautica 119: 112.##[47] Lim C.W., Zhang G., Reddy J.N., 2015, A higherorder nonlocal elasticity and strain gradient theory and its applications in wave propagation, Journal of the Mechanics and Physics of Solids 78: 298313.##[48] Li L., Hu Y., Ling L., 2015, Flexural wave propagation in smallscaled functionally graded beams via a nonlocal strain gradient theory, Composite Structures 133: 10791092.##[49] Li L., Hu Y., Ling L., 2016, Wave propagation in viscoelastic singlewalled carbon 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6882.##[53] Arani A.G., Haghparast E., Maraghi Z.K., Amir S., 2015, Nonlocal vibration and instability analysis of embedded DWCNT conveying fluid under magnetic field with slip conditions consideration, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 229: 349363.##[54] Natsuki T., Ni QQ., Endo M., 2009, Analysis of the vibration characteristics of fluidconveying doublewalled carbon nanotubes, Journal of Applied Physics 105: 094328.##[55] Oveissi S., Eftekhari S.A., Toghraie D., 2016, Longitudinal vibration and instabilities of carbon nanotubes conveying fluid considering size effects of nanoflow and nanostructure, Physica E: LowDimensional Systems and Nanostructures 83: 164173.##[56] Cheng Q., Liu Y., Wang G., 2019, Free vibration of a fluidconveying nanotube constructed by carbon nanotube and boron nitride nanotube, Physica E: LowDimensional Systems and Nanostructures 109: 183190.##[57] Arani A.G., Amir S., 2013, Electrothermal 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boundary condition and shell model based on nonlocal strain gradient theory, Microfluid Nanofluidics 21: 85.##[62] Mohammadi K., Rajabpour A., Ghadiri M., 2018, Calibration of nonlocal strain gradient shell model for vibration analysis of a CNT conveying viscous fluid using molecular dynamics simulation, Computational Materials Science 148: 104115.##[63] Mahinzare M., Mohammadi K., Ghadiri M., Rajabpour A., 2017, Sizedependent effects on critical flow velocity of a SWCNT conveying viscous fluid based on nonlocal strain gradient cylindrical shell model, Microfluid Nanofluidics 21: 123.##[64] Roodgar Saffar P., Fakhraie M., Roudbari M.A., 2020, Free vibration problem of fluidconveying doublewalled boron nitride nanotubes via nonlocal strain gradient theory in thermal environment , Mechanics Based Design of Structures and Mechanies 2020: 118.##[65] Zarabimanesh Y., Roodgar Saffari P., Roudgar Saffari P., Refahati N., 2021, Hygrothermomechanical vibration of two vertically aligned singlewalled boron nitride nanotubes conveying fluid, Journal of Vibration and Control doi.org/10.1177/10775463211006512.##[66] Roodgar Saffari P., Fakhraie M., Roudbari M.A, 2020, Free vibration and transient response of heterogeneous piezoelectric sandwich annular plate using thirdorder shear deformation assumption, Journal of Solid Mechanics 12: 315333.##[67] Ke L.L., Wang Y.S., Reddy J.N., 2014, Thermoelectromechanical vibration of sizedependent piezoelectric cylindrical nanoshells under various boundary conditions, Composite Structures 116: 626636.##[68] Roodgar Saffari P., Fakhraie M., Roudbari M.A., 2020, Free vibration and transient response of heterogeneous piezoelectric sandwich annular plate using thirdorder shear deformation assumption, Journal of Solid Mechanics 12: 315333.##[69] Kiani K., 2014, Inand outofplane dynamic flexural behaviors of twodimensional ensembles of vertically aligned singlewalled carbon nanotubes, Physica B Condensed Matter 449: 164180.##[70] Roudbari M.A., Jorshari T.D., Arani A.G., 2020, Transient responses of two mutually interacting singlewalled boron nitride nanotubes induced by a moving nanoparticle, European Journal of Mechanics 82: 103978.##[71] Murmu T., Pradhan S.C., 2010, Thermal effects on the stability of embedded carbon nanotubes, Computational Materials Science 47: 721726.##[72] Mehralian F., Beni Y.T., 2018, Vibration analysis of sizedependent bimorph functionally graded piezoelectric cylindrical shell based on nonlocal strain gradient theory, Journal of the Brazilian Society of Mechanical Sciences and Engineering 40: 27.##[73] Ke LL., Wang YS., 2011, Flowinduced vibration and instability of embedded doublewalled carbon nanotubes based on a modified couple stress theory, Physica E: LowDimensional Systems and Nanostructures 43: 10311039.##]
1

Response of TwoTemperature on the Energy Ratios at ElasticPiezothermoelastic Interface
http://jsm.iauarak.ac.ir/article_682387.html
10.22034/jsm.2020.1907521.1637
1
In the present investigation the reflection and transmission phenomenon of plane waves between two half spaces elastic and orthotropic piezothermoelastic with twotemperature theory is discussed. A piezothermoelastic solid half space is assumed to be loaded with an elastic half space. Due to the phenomenon, four qausi waves are obtained; quasi longitudinal (qP) wave, quasi transverse (qS) wave, quasi thermal (qT) wave and electric potential wave (eP). It is found that the amplitude ratios of various reﬂected and refracted waves are functions of angle of incidence, frequency of incident wave and are inﬂuenced by the piezothermoelastic properties of media. The energy ratios are computed numerically using amplitude ratios for a particular model of graphite and cadmium selenide (CdSe). The variations of energy ratios with angle of incidence are shown graphically depicting the effect of twotemperature. The conservation of energy across the interface is justiﬁed. A particular case of interest is also deduced from the present investigation.
0

186
201


R
Kumar
Department of Mathematics, Kurukshetra University, Kurukshetra 136119, Haryana, India
India
rajneesh_kuk@rediffmail.com


P
Sharma
Department of Mathematics, Kurukshetra University, Kurukshetra 136119, Haryana, India
India
Reflection
Piezothermoelastic
Energy ratios
Transmission
Orthotropic
Amplitude ratios
[[1] Chen P. J., Gurtin M. E., 1968, On a theory of heat conduction involving two temperatures, The Zeitschrift für Angewandte Mathematik und Physik 19: 614627.##[2] Chen P. J., Gurtin M. E., Williams W. O., 1968, A note on nonsimple heat conduction, The Zeitschrift für Angewandte Mathematik und Physik 19: 969970.##[3] Chen P. J., Gurtin M. E., Williams W. O., 1969, On the thermodynamics of nonsimple elastic materials with two temperatures, The Zeitschrift für Angewandte Mathematik und Physik 20(1): 107112.##[4] Sharma K., Marin M., 2013, Effect of distinct conductive and thermodynamic temperatures on the reflection of plane waves in micropolar elastic halfspace, Applied Mathematics Physics 75(2): 12132.##[5] Kumar R., Vashishth A. K., Ghangas S., 2018, Waves in anisotropic thermoelastic medium with phase lag, twotemperature and void, Materials Physics and Mechanics 35: 126138.##[6] Mindlin R.D., 1974, Equation of high frequency of thermopiezoelectric crystals plates, International Journal of Solids and Structures 10: 625637.##[7] Nowacki W., 1978, Some general theorems of thermopiezoelectricity, Journal of Thermal Stresses 1: 171182.##[8] Nowacki W., 1979, Foundation of Linear Piezoelectricity, Interactions in Elastic Solids, Springer, Wein.##[9] Vashishth A.K., Sukhija H., 2014, Inhomogeneous waves at the boundary of an anisotropic piezothermoelastic medium, Acta Mechanica 225: 33253338.##[10] Vashishth A.K., Sukhija H., 2015, Reflection and transmission of plane waves from fluid piezothermoelastic solid interface, Applied Mathematics and Mechanics 36(1): 1136.##[11] Vashishth A.K., Sukhija H., 2017, Inhomogeneous waves in porous piezothermoelastic solids, Acta Mechanica 228: 18911907.##[12] Kumar R., Sharma P., 2017, Effect of fractional order on energy ratios at the boundary surface of elasticpiezothermoelastic media, Coupled Systems Mechanics 6(2):157174.##[13] Marin M., Ochsner A., 2017, An initial boundary value problem for modelling a piezoelectric dipolar body, Continuum Mechanics and Thermodynamics 32(2): 26778.##[14] Sharma M.D., 2018, Reflection–refraction of attenuated waves at the interface between a thermoporoelastic medium and a thermoelastic medium, Waves in Random and Complex Media 28(3): 570587.##[15] Kumar R., Sharma P., 2020, Basic theorems and wave propagation in a piezothermoelastic medium with dual phase lag, Indian Journal of Physics 94: 19751992.##[16] Bassiouny E., Youssef H. M., 2008, Twotemperature generalised thermopiezoelasticity of finite rod subjected to different types of thermal loadings, Journal of Thermal Stresses 31(1): 233245.##[17] Ezzat M.A., ElKaramany A.S., Awad E. S., 2010, On the coupled theory of thermopiezoelectric/ piezomagnetic materials with twotemperature, Canadian Journal of Physics 88(5): 307315.##[18] Tzou H. S., Bao Y., 1995, A theory on anisotropic piezothermoelastic shell laminates with sensor/actuator applications, Journal of Sound and Vibration 184(3): 453473.##[19] Bullen, K. E., 1963, An Introduction to the Theory of Seismology, Cambridge University Press, England.##]
1

Photothermoelastic Investigation of Semiconductor Material Due to Distributed Loads
http://jsm.iauarak.ac.ir/article_683153.html
10.22034/jsm.2020.1907462.1639
1
A dynamic mathematical model of photothermoelastic (semiconductor) medium is developed to analyze the deformation due to inclined loads. The governing equations for photothermoelastic with dual phase lag model are framed for two dimensional case and are further simplified by using potential function. Appropriate transforms w.r.t time (Laplace) and w.r.t space variables (Fourier) are employed on the resulting equations which convert the system of equations into differential equation. The problem is examined by deploying suitable mechanical boundary conditions. Specific types of distributed loads as uniformly distributed force and Linearly distributed force are taken to examine the utility of the model. The analytic expressions like displacements, stresses, temperature distribution and carrier density are obtained in the new domain (transformed).To recover the quantities in the physical domain, numerical inversion technique is employed. Numerical computed results with different angle of inclination vs distance are analyzed with and without dual phase lag theories of thermoelasticity in the form of visual representations. It is seen that physical field quantities are sensitive towards photothermoelastic and phase lag parameters.
0

202
212


N
Sharma
Department of Mathematics, MM(DU), Mullana, Ambala, India
India
nidhi_kuk26@rediffmail.com


R
Kumar
Department of Mathematics, Kurukshetra University, Kurukshetra, India
India
rkumar@kuk.ac.in
Photothermal
semiconductor
Inclined load
Laplace and Fourier transforms
[[1] Mandelis A., 1987, Photoacoustic and Thermal Wave Phenomena in Semiconductors, Elsevier Science, New York.##[2] Almond D. P., Patel P., 1996, Photothermal Science and Techniques, Springer Science and Business Media.##[3] Mandelis A. , Hess P., 2000, Semiconductors and Electronic Materials, Spie Press.##[4] Lord H.W., Shulman Y., 1967, A generalized dynamical theory of thermoelasticity, Journal of the Mechanics and Physics of Solids 15: 299309.##[5] Green A. E., Lindsay K. A.,1972, Thermoelasticity, Journal of Elasticity 2: 1 7.##[6] Dhaliwal R.S., Sherief H.,1980, Generalized thermoelasticity for anisotropic media, Applied Mathematics 33: 18.##[7] Tzou D.Y.,1995(a), A unified field approach for heat conduction from macrotomicroscale, Journal of Heat Transfer 117 : 816.##[8] Tzou D.Y., 1995(b), Experimental support for the lagging behavior in heat propagation, Journal of Thermophysics and Heat Transfer 9(4): 686.##[9] Abbas I.A., Zenkor A.M., 2014, Dualphaselag model on thermoelastic interactions in a semiinfinite medium subjected to a ramptype heating, Journal of Computational and Theoretical Nanoscience 11(3): 642645.##[10] McDonald F.A., Wetsel G.C., 1978, Generalized theory of photoacoustic effect, Journal of Applied Physics 49: 2313.##[11] Jackson W.M., Nabil A., 1980, Piezoelectric photoacoustic dection: theory and experiment, Journal of Applied Physics 51: 3343.##[12] Stearns R. ., Kino G.S., 1985, Effect of electronic strain on photoacoustic generalization in silicon, Applied Physics Letters 7: 1048.##[13] Zenkor A.M., Abouelregal A.E., Aifantis E.C., 2016, Twotemperature dualphaselags theory in a thermoelastic solid halfspace due to inclined load, Mechanical Science 7: 179187.##[14] Hobiny A., Abbas I., 2018(a), Analytical solution of fractional order photothermoelasticity in nonhomogeneous semiconductor medium, Multidiscipline Modeling in Materials and Structures 14: 10171030.##[15] Hobiny A., Abbas I., 2018(b), A DPL model of photothermal interaction in an infinite semiconductor material containing a spherical hole, The European Physical Journal Plus 11: 133.##[16] Lotfy Kh., 2019, Analytical solutions of photothermal elastic waves in a semiconductor material due to pulse heat flux with thermal memory, Silicon 12: 263273.##[17] Lotfy Kh., Tantawi, 2019, Photothermalelastic interaction in a functionally graded material (FGM) and magnetic field, Silicon 12: 295303.##[18] Kuo J.T., 1969, Static response of multilayered medium under inclined surface loads, Journal of Geophysical Research 74(12): 31953207.##[19] Kumar R., Rani L., 2005, Response of thermoelastic halfspace with voids due to inclined load, International Journal of Applied Mechanics and Engineering 10(2): 281294.##[20] Sharma N., Kumar R., Lata P., 2015, Disturbance due to inclined load in transversely isotropic thermoelastic medium with two temperature and without energy dissipation, Material Physics and Mechanics 22(2): 107117.##[21] Othman M.A., AboDahab S.M., Alosaimi H., 2018, The effect of gravity and inclined load in micropolar thermoelastic medium possessing cubic symmetry under GN theor, Journal of Ocean Engineering and Science 3(4): 288294.##[22] Lata P., Kaur I., 2019, Effect of inclined load on transversely isotropic magneto thermoelastic rotating solid with harmonic source, Advances in Material Research 8(2): 83102.##[23] Abdalla A.N., Abbas I. A., 2002, A problem of generalized magnetothermoelasticity for an infinitely long, perfectly conducting cylinder, Journal of Thermal Stresses 25(11): 10091025.##[24] Abbas I. A., 2006, Natural frequencies of a poroelastic hollow cylinder, Acta Mechanica 186: 229237.##[25] Palani G., Abbas I. 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1

Analysis of Nanoplate with a Central Crack Under Distributed Transverse Load Based on Modified Nonlocal Elasticity Theory
http://jsm.iauarak.ac.ir/article_683156.html
10.22034/jsm.2020.1901736.1607
1
In this paper, using the complete modified nonlocal elasticity theory, the deflection and strain energy equations of rectangular nanoplates, with a central crack, under distributed transverse load were overwritten. First, the deflection of nanoplate was obtained using Levy's solution and consuming it; strain energy of nanoplate was found. As regards nonlocal elasticity theory wasn’t qualified for predicting the static behavior of nanoplates under distributed transverse load, using modified nonlocal elasticity theory, the deflection of nanoplate with a central crack for different values of the smallscale effect parameter was achieved. It was gained with the convergence condition for the complete modified nonlocal elasticity theory. To verify the result, the results for the state of the smallscale effect parameter were placed equal to zero (plate with macroscale) and then were compared with the numerical results as well as the classical analytical solution results available in the valid references. It was shown that the complete modified nonlocal elasticity theory does not show any singularity at the cracktip unlike the classical theory; therefore, the method presented is a suitable method for analysis of the nanoplates with a central crack.
0

213
232


M
Rajabi
Mechanical Engineering, Malek Ashtar University of Technology (MUT), Tehran, Iran
Iran


H
Lexian
Faculty of Material & Manufacturing Technology, Malek Ashtar University of Technology (MUT), Tehran, Iran
Iran
lexian@mut.ac.ir


A
Rajabi
Mechanical Engineering, Malek Ashtar University of Technology (MUT), Tehran, Iran
Iran
Nonlocal elasticity theory
Crack
Smallscale effect
Nanoplate
Singularity
[[1] Taheri A.H., 2009, The Crack Study and Analysis on NanoDimensional Plates Based on the Expanded Finite Element Method, K. N. Toosi University of Technology, Tehran, Iran.##[2] Gao J., 1999, An asymmetric theory of nonlocal elasticity – Part 2: Continuum field, International Journal of Solids And Structures 36(20): 2959297l.##[3] Zhou Z.G., Han J.C., Du S.Y., 1999, Investigation of a Griffith crack subject to antiplane shear by using the nonlocal theory, International Journal of Solids and Structures 36: 38913901.##[4] Zhou Z.G., Wang B., Du S.Y., 2003, Investigation of antiplane shear behavior of two collinear permeable cracks in a piezoelectric material by using the nonlocal theory, ASME Journal of Applied Mechanics 69: 388390.##[5] Zhou Z.G., Shen Y.P., 1999, Investigation of the scattering of harmonic shear waves by two collinear cracks using the nonlocal theory, Acta Mechanica 135: 169179.##[6] Zhou Z.G., Wang B., 2003, Investigation of antiplane shear behavior of two collinear impermeable cracks in the piezoelectric materials by using the nonlocal theory, International Journal of Solids and Structures 39:17311742.##[7] Sun Y.G., Zhou Z.G., 2004, Stress field near the crack tip in nonlocal anisotropic elasticity, European Journal of Mechanics A/Solids 23(2): 259269,2004.##[8] Zhou Z.G., Wang B., 2003, Nonlocal theory solution of two collinear cracks in the functionally graded materials, International Journal of Solids and Structures 43: 887898.##[9] Huang L.Y., Han Q., Liang Y.J., 2012, Calibration of nonlocal scale effect parameter for bending singlelayered graphene sheet under molecular dynamics, NANO: Brief Reports and Reviews 5: 12500331250041.##[10] Yan J.W., Tong L.H., Li C., Zhu Y., Wang Z.W., 2015, Exact solutions of bending deflections for nanobeams and nano plates based on nonlocal elasticity theory, Composite Structures 125: 304313.##[11] Rezatalab J., Golmakani M.E., 2015, Nonlinear bending analyzing of graphen nanoplate in polymeric environment using eringen nonlocal model, 22th Mechanical Engineering Conference, Ahvaz, Iran.##[12] Şeref A., 2016, Static analysis of a nano plate by using generalized differential quadrature method, International Journal of Engineering & Applied Sciences 8(2): 3039.##[13] Eskandari Shahraki M., Heydari Bani M., Zamani M.R., Eskandari Jam J., 2018, Bending analyzing of graphen kirshoff nanoplate with simply supports using modified couple stress theory, 5th Mechanical Engineering Conference, Aerospace Industries, Mashhad, Iran.##[14] Mousavi Z., Shahidi S.A., Boroomand B., 2017, A new method for bending and buckling analysis of rectangular nano plate: full modified nonlocal theory, Springer 52(11): 27512768.##[15] Shvabyuk V., Pasternak I., Sulym H., 2011, Bending of orthotropic plate containing a crack parallel to the median plane, Acta Mechanica et Automatica 5: 94102.##[16] Chattopadhyay L., 2011, Analytical solution for bending stress intensity factor from reissner’s plate theory, Scientific Research Publishing 3: 517524.##[17] Yang W.H., 1968, On an integral equation solution for a plate with internal support, The Quarterly Journal of Mechanics and Applied Mathematics 21(4): 503515.##[18] Keer L.M., Sve C., 1970, On the bending of cracked plates, International Journal of Solids and Structures 6: 15451599.##]
1

Isogeometric Analysis for Topology Optimisation of Two Dimensional Planar and Laminated Composite Plate Continuum Structures
http://jsm.iauarak.ac.ir/article_682224.html
10.22034/jsm.2020.1910389.1645
1
Isogeometric analysis is the recent development in the field of engineering analysis with high performance computing and greater precision. This current research has opened a new door in the field of structural optimisation. The main focus of this research study is to perform topology optimisation of continuum structures in civil engineering using Isogeometric analysis. The continuum structures analysed here in this study are reinforced concrete, steel and laminated composite plates. Reinforced concrete is a rational union of concrete and steel. Topology optimisation of reinforced concrete structures is an emerging area of study to determine the optimal layout of material in the concrete domain. Laminated structures are made of several layers of material and bonded to achieve high stiffness and low weight to strength ratio. The deformed shape at the optimal state can be determined with topology optimisation of laminated composites. The formulation for composite plates is done using kirchoff thin plate theory without any shear contribution. Bsplines are used to model the geometry. The objective is to optimise the energy of the structure and optimality criteria is used to calculate the newer values of relative densities. First order sensitivity analysis is performed to determine the newer values of objective function. The code is written in MatLab® and a few problems have been solved with different domains. The results are verified and have shown a good agreement with those in the literature.
0

233
268


K.N.V
Chandrasekhar
Department of Civil Engineering, CVR College of Engineering, Hyderabad, Telangana, India
India
biml.koralla1@gmail.com


V
Bhikshma
University College of Engineering, Osmania University, Hyderabad, Telangana, India
India
v.bhikshma@yahoo.co.in


N
Rakesh
Department of Civil Engineering, CVR College of Engineering, Hyderabad, Telangana, India
India
narayanadasurakesh@gmail.com


N
Swapnareddy
Department of Civil Engineering, CVR College of Engineering, Hyderabad, Telangana, India
India


C
Rakesh
Department of Civil Engineering, CVR College of Engineering, Hyderabad, Telangana, India
India
chilukuri.rakesh@gmail.com
Reinforced Concrete
Isogeometric
Topology
Optimisation
Laminates
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