2013
5
3
3
108
Numerical and Experimental Study on Ratcheting Behavior of Steel Cylindrical Shells with/without Cutout Under Cyclic Combined and Axial Loading
2
2
Ratcheting behavior of steel 304L cylindrical shell under cyclic combined and axial loading are investigated in this paper, numerically. Cylindrical shells were fixed oblique at angle of 20° and normal with respect to the longitudinal direction of the shell and subjected to forcecontrolled cycling with nonzero mean force, which causes the accumulation of plastic deformation or ratcheting behavior. Numerical analysis was carried out by ABAQUS software using nonlinear isotropic/kinematic hardening model. Numerical results compared to experimental data that was performed by an INSTRON 8802 servo hydraulic machine. Simulations show good agreement between numerical and experimental results. Also, the effect of length, angle of cylindrical shell and existence of cutout are studied with finite element method. Seen, the bending moment plays a strong role in increase of plastic deformation. It is observed that there is more plastic deformation for cylindrical shell under combined loading in comparison to cylindrical shell under uniaxial loading. Ratcheting behavior is sensitive to cutout and showed that creating the cutout increases the plastic deformation.
1

216
225


M
Shariati
Department of Mechanical University, Ferdowsi University of Mashhad
Department of Mechanical University, Ferdowsi
Iran
mshariati44@gmail.com


K
Kolasangiani
Department of Mechanical University, Shahrood University of Technology
Department of Mechanical University, Shahrood
Iran


H.R
Epakchi
Department of Mechanical University, Shahrood University of Technology
Department of Mechanical University, Shahrood
Iran


H
Chavoshan
Department of Mechanical University, Shahrood University of Technology
Department of Mechanical University, Shahrood
Iran
Cylindrical shell
Numerical and experimental study
Cyclic combined and axial loading
Cutout
[[1] Ozgen U.C., 2008, Kinematic hardening rules for modeling uniaxial and multiaxial ratcheting, Material & Design 29: 15751581. ##[2] Isobe N., Sukekawa M., Nakayama Y., Date S., Ohtani T., Takahashi Y., Kasahara N., Shibamoto H., Nagashima H., Inoue K., 2008, Clarification of strain limits considering the ratcheting fatigue strength of 316FR steel, Nuclear Engineering and Design 238: 347352. ##[3] Sih G.C., 1991, Mechanics of Fracture Initiation and Propagation, Kluwer Academic Publisher, Boston. ##[4] Chang K.H., Pan W.F., Lee K.L., 2008, Mean moment effect of thinwalled tubes under cyclic bending, Structural Engineering and Mechanics 28(5): 495514. ##[5] Rahman S.M., Hassan T., Corona E., 2008, Evaluation of cyclic plasticity models in ratcheting simulation of straight pipes under cyclic bending and steady internal pressure, International Journal of Plasticity 24: 17561791. ##[6] Chang K.H., Pan W.F., 2009, Buckling life estimation of circular tubes under cyclic bending, International Journal of Solids and Structures 46: 254270. ##[7] Zakavi S.J., Zehsaz M., Eslami M.R., 2010, The ratcheting behavior of pressurized plain pipework subjected to cyclic bending moment with the combined hardening model, Nuclear Engineering and Design 240: 726737. ##[8] Kang G., Liu Y., Dong Y., Gao Q., 2011, Uniaxial ratcheting behaviors of metals with different crystal structures or values of fault energy: macroscopic experiments, Journal of Material Science and Technology 27(5): 453459. ##[9] Kang G.Z., Gao Q., Yang X.J., 2004, Uniaxial and nonproportionally multiaxial ratcheting of SS304 stainless steel at room temperature: experiments and simulations, International Journal of Nonlinear Mechanics 39: 843–857. ##[10] Mizuno M., Mima Y., AbdelKarim M., Ohno N., 2000, Uniaxial ratcheting of 316FR steel at room temperature, Journal of Engineering Materials and Technology 122(1): 29–34. ##[11] Shariati M., Hatami H., 2012, Experimental study of SS304L cylindrical shell with/ without cutout under cyclic axial loading, Theoretical and Applied Fracture Mechanics 58: 3543. ##[12] Shariati M., Hatami H., Yarahmadi H., Eipakchi H.R., 2012, An experimental study on the ratcheting and fatigue behavior of polyacetal under uniaxial cyclic loading, Materials and Design 34: 302–312. ##[13] Jiao R., Kyriakides S., 2009, Ratcheting , wrinkling and collapse of tubes under axial cycling, International Journal of Solids and Structures 46: 28562870. ##[14] Sun G.Q., Shang D.G, 2010, Prediction of fatigue lifetime under multiaxial cyclic loading using finite element analysis, Materials and Design 31(1): 126133. ##[15] Dong J., Wang S., Lu X., 2006, Simulations of the hysteretic behavior of thinwall coldformed steel members under cyclic uniaxial loading, Structural Engineering and Mechanics 24(3): 323337. ##[16] Shariati M., Hatami H., Torabi H., Epakchi H.R., 2012, Experimental and numerical investigations on the ratcheting characteristics of cylindrical shell under cyclic axial loading, Structural Engineering and Mechanics 44(6): 753762. ##[17] ABAQUS 6.10.1 PR11 user’s manual. ##[18] ASTM A37005, Standard test methods and definitions for mechanical testing of steel products. ##[19] Li Z., Yu J., Guo L., 2012, Deformation and energy absorption of aluminum foamfilled tubes subjected to oblique loading, International Journal of Mechanical Science 54: 4856. ## ##]
Wave Propagation at an Interface of Elastic and Microstretch Thermoelastic Solids with Microtemperatures
2
2
In the present paper, the problem of reflection and transmission of waves at an interface of elastic and microstretch thermoelastic solids with microtemperatureshas been studied. The amplitude ratios of various reflected and transmitted waves are functions of angle of incidence and frequency of incident wave. The expressions of amplitude ratios have been computed numerically for a particular model. The variations of amplitude ratios with angle of incidence are shown graphically to depict the effect of microrotation. Some particular cases of interest have been also deduced.
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226
244


R
Kumar
Department of Mathematics, Kurukshetra University
Department of Mathematics, Kurukshetra University
Iran
rajneesh_kuk@rediffmail.com


M
Kaur
Department of Applied Sciences, Guru Nanak Dev Engineering College, Ludhiana
Department of Applied Sciences, Guru Nanak
Iran
mandeep1125@yahoo.com


S.C
Rajvanshi
Department of Applied Sciences, Gurukul Vidyapeeth Institute of Engineering and Technology
Department of Applied Sciences, Gurukul Vidyapeeth
Iran
Microstretch
Microtemperatures
Wave propagation
Amplitude ratios
Elastic solid
[[1] Eringen A.C., 1966, Mechanics of micromorphic materials, Proceedings of the 2nd International Congress of Applied Mechanics, Springer, Berlin, 131138. ##[2] Eringen A.C., 1968, Mechanics of Micromorphic Continua, Mechanics of Generalized Continua, IUTAM Symposium, FreudenstadtStuttgart, Springer, Berlin, 1835. ##[3] Eringen A.C., 1971, Micropolar Elastic Solids with Stretch, Ari Kitabevi Matbassi 24:118. ##[4] Eringen A.C., 1990, Theory of thermomicrostretch elastic solids, International Journal of Engineering Science 28: 12911301. ##[5] Grot R.A., 1969, Thermodynamics of a continuum with microstructure, International Journal of Engineering Science 7: 801–814. ##[6] Riha P., 1976, On the microcontinuum model of heat conduction in materials with inner structure, International Journal of Engineering Science 14: 529535. ##[7] Iesan D., Quintanilla R., 2000, On a theory of thermoelasticity with microtemperatures, Journal of Thermal Stresses 23:199–215. ##[8] Ciarletta M., Scalia A., 2004, Some results in linear theory of thermomicrostretch elastic solids, Meccanica 39:191206. ##[9] Iesan D., Quintanilla R., 2005, Thermal stresses in microstretch elastic plates, International Journal of Engineering Science 43: 885907. ##[10] Othman M.I.A, Lofty K.H., Farouk R.M., 2010, Generalized thermomicrostretch elastic medium with temperature dependent properties for different theories, Engineering Analysis with Boundary Elements 43 :229237. ##[11] Passarella F., Tibullo V., 2010, Some results in linear theory of thermoelasticity backward in time for microstretch materials, Journal of Thermal Stresses 33:559576. ##[12] Marin M., 2010, A partition of energy in thermoelasticity of microstretch bodies, Nonlinear AnalysisReal World Applications 11(4): 24362447. ##[13] Marin M., 2010, Lagrange identity method for microstretch thermoelastic materials, Journal of Mathematical Analysis and Applications 363:275286. ##[14] Kumar S., Sharma J.N., Sharma Y.D., 2011, Generalized thermoelastic waves in microstretch plates loaded with fluid of varying temperature, International Journal of Applied Mechanics 3:563586. ##[15] Othman M.I.A., Lofty K.H., 2010, On the plane waves of generalized thermomicrostretch elastic half space under three theories, International Communications in Heat and Mass Transfer 37:192200. ##[16] Othman M.I.A., Lofty K.H., 2011, Effect of rotation on plane waves in generalized thermomicrostretch elastic solid with one relaxation time, Multidiscipline Modelling in Materials and Structures 7:4362. ##[17] Kumar R., Rupender, 2008, Reflection at free surface of magnetothermomicrostretch elastic solid, Bulletin of Polish Academy of Sciences 56:263271. ##[18] Kumar R., Rupender, 2012, Propagation of plane waves at imperfect boundary of elastic and elctromicrostretch generalized thermoelastic solids, Applied Mathematics and Mechanics 30:14451454. ##[19] Shaw S., Mukhopadhayay B., 2012, Electromagnetic effects on rayleigh surface wave propagation in a homogeneous isotropic thermomicrostretch elastic halfspace, Journal of Engineering Physics and Thermophysics 85 :229238.##[20] Iesan D., 2001, On a theory of micromorphic elastic solids with microtemperatures, Journal of Thermal Stresses 24: 737752. ##[21] Iesan D., Quintanilla R., 2009, On thermoelastic bodies with inner structure and microtemperatures, Journal of Mathematical Analysis and Applications 354:1223. ##[22] Casas P.S., Quintanilla R., 2005, Exponential stability in thermoelasticity with microtemperatures, International Journal of Engineering Science 43:3347. ##[23] Scalia A., Svanadze M., 2006, On the representation of solutions of the theory of thermoelasticity with microtemperatures, Journal of Thermal Stresses 29: 849863. ##[24] Iesan D., 2006, Thermoelasticity of bodies with microstructure and microtemperatures, International Journal of Solids and Structures 43: 34143427. ##[25] Aouadi M., 2008, Some theorems in the isotropic theory of microstretch thermoelasticity with microtemperatures, Journal of Thermal Stresses 31:649662.##[26] Scalia A., Svanadze M., Tracinà R., 2010, Basic theorems in the equilibrium theory of thermoelasticity with microtemperatures peratures, Journal of Thermal Stresses 33:721753. ##[27] Quintanilla R., 2011, On growth and continous dependence in thermoelasticity with microtemperatures, Journal of Thermal Stresses 34:911922. ##[28] Steeb H., Singh J., Tomar S.K., 2013, Time harmonic waves in thermoelastic material with microtemperatures, Mechanics Research Communications 48:818. ##[29] Chirita S., Ciarletta M., Apice C.D., 2013, On the theory of thermoelasticity with microtemperatures, Journal of Mathematical Analysis and Applications 397:349361. ##[30] Iesan D., 2007, Thermoelasticity of bodies with microstructure and microtemperatures, International Journal of Solids and Structures 44:86488662. ##[31] Bullen K.E., 1963, An Introduction of the Theory of Seismology, Cambridge University Press, Cambridge. ##[32] Eringen A.C., 1984, Plane waves in non local micropolar elasticity, International Journal of Engineering Science 22: 11131121. ##[33] Dhaliwal R.S., Singh A.,1980, Dynamic Coupled Thermoelasticity, Hindustan Publication Corporation, New Delhi, India .##]
Propose a New Model for Prediction of the Impact Wear Using an Experimental Method
2
2
Impact wear can be defined as the wear of a solid surface that is due to percussion, which is a repetitive exposure to dynamic contact by another solid body. It generally has the devastating effects on the mechanical elements and causes the equipments to shift away from their normal performance. Impact wear has not been studied as extensive as other wear mechanisms and as a result information on the causes and actual impact wear data is quite scarce. Knowing how the impact parameters affect the wear intensity would be helpful to have the more optimal designs. Having an experimental apparatus would be a reliable way for this aim. In the present work, a new impact tester was designed to explore the consecutive impacts between balls and a flat plate as a wearing specimen. Measurements of the plate mass loss after a number of impacts at the different impacting conditions revealed the effect of parameters on the impact wear. Design of experiment is carried out regarding the impact velocity, ball size and impact angle as the variables. An impact wear model is extracted based on the experimental data. The obtained results suggest that the model can be used as a predictive way to study the practical design problems and to explain some phenomena associated with impact erosion.
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245
252


M
Akhondizadeh
Mechanical Engineering Department of Shahid Bahonar, University of Kerman
Mechanical Engineering Department of Shahid
Iran
m.akhondizadeh@gmail.com


M
Fooladi Mahani
Mechanical Engineering Department of Shahid Bahonar, University of Kerman
Mechanical Engineering Department of Shahid
Iran


M
Rezaeizadeh
Graduate University of Advanced Technology, Kerman
Graduate University of Advanced Technology,
Iran


S.H
Mansouri
Mechanical Engineering Department of Shahid Bahonar, University of Kerman
Mechanical Engineering Department of Shahid
Iran
Impact wear
Contact
Wear modeling, Steel, Indentation
[[1] Bayer R. G., Engel P. A., Sirico J. L., 1971, Impact wear testing machine, Wear 24: 343354. ##[2] Engel P. A., Lyons T. H., Sirico J. L., 1973, Impact wear for steel specimens, Wear 23:185201. ##[3] Engel P. A., Millis D.B., 1982, Study of surface topology in impact wear, Wear 75: 423 442. ##[4] Goryacheva G., Contact Mechanics in Tribology, Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia, Kluwer Academic Publishers. ##[5] Mindlin R. D., Deresiewicz H., 1953, Elastic spheres in contact under varying oblique forces, Applied Mechanics 12: 116125. ##[6] Maw N., 1975, The oblique impact of elastic spheres, Wear 25:101114. ##[7] Gorham D. A., Kharaz A. H., 2000, The measurement of particle rebound characteristics, Powder Technology 112:193202. ##[8] Kharaz A.H., Gorham D.A., Salman A.D., 2001, An experimental study of the elastic rebound of spheres, Powder Technology 25: 281–291. ##[9] Levy A., 1993, The erosion–corrosion of tubing steels in combustion boiler environments, Corrosion Science 35: 10351056. ##[10] Bellman R., Levy A., 1981, Erosion mechanism in ductile metals, Wear 225: 127. ##[11] Lindsley B.A., Marder A.R., 1999, The effect of velocity on the solid particle erosion rate of alloys, Wear 225229: 510–516. ##[12] Head W.J., Harr M.E., 1970, The development of a model to predict the erosion of materials by natural contaminants, Wear 15:1 46. ##[13] Xie Y., McI Clark H., Hawthorne H.M., 1999, Modelling slurry particle dynamics in the Coriolis erosion tester, Wear 225229:405416. ##[14] Talia M., Lankarani H., Talia J.E., 1999, New experimental technique for the study and analysis of solid particle erosion mechanisms, Wear 250:10701077. ##[15] Di Maio F. P., Renzo A. Di., 2005, Modeling particle contacts in distinct element simulations, Chemical Engineering Research and Design 83:12871297. ##[16] Lewis D.A., Rogers R. J., 1988, Experimental and numerical study of forces during oblique impact, Journal of Sound and Vibration 125(3): 403 412. ##[17] Iwai Y., Hondaa T., Yamadaa H., Matsubara T., Larsson M., Hogmark S., 2001, Evaluation of wear resistance of thin hard coatings by a new solid particle impact test, Wear 251: 861867. ##[18] Yang L.J., 2005, A test methodology for the determination of wear coefficient, Wear 259:14531461. ##[19] Ashrafizadeh H., Ashrafizadeh F., 2012, A numerical 3D simulation for prediction of wear caused by solid particle impact, Wear 276:75 84. ##]
Effect of Magnetic Field and a ModeI Crack 3DProblem in Micropolar Thermoelastic Cubic Medium Possessing Under Three Theories
2
2
A model of the equations of two dimensional problems in a half space, whose surface in free of micropolar thermoelastic medium possesses cubic symmetry as a result of a ModeI Crack is studied. There acts an initial magnetic field parallel to the plane boundary of the half space. The crack is subjected to prescribed temperature and stress distribution. The formulation in the context of the LordŞhulman theory LS includes one relaxation time and GreenLindsay theory GL with two relaxation times, as well as the classical dynamical coupled theory CD. The normal mode analysis is used to obtain the exact expressions for the displacement, microrotation, stresses and temperature distribution. The variations of the considered variables with the horizontal distance are illustrated graphically. Comparisons are made with the results in the presence of magnetic field. A comparison is also made between the three theories for different depths.
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253
269


Kh
Lotfy
Department of Mathematics, Faculty of Science, Zagazig University
Department of Mathematics, Faculty of Science and Arts, Almithnab, Qassim University
Department of Mathematics, Faculty of Science,
Iran
khlotfy_1@yahoo.com


Y
Yahia
Department of Mathematics, Faculty of Science and Arts, Almithnab, Qassim University
Department of Mathematics, Faculty of Science
Iran
GLtheory
Magnetothermoelasticity
ModeI crack
Microrotation
Micropolar thermoelastic medium
[[1] Eringen A. C., Suhubi E. S., 1964, Nonlinear theory of simplemicropolar solids, International Journal of Engineering Science 2:118. ##[2] Eringen A. C.,1966,Linear theory of micropolar elasticity, Journal of Applied Mathematics and Mechanics 15: 909924. ##[3] Biot M. A., 1956, Thermoclasticity and irreversible thermodynamics, Journal of Applied Physics 27:240253. ##[4] Lord H. W., Shulman Y., 1967, A generalized dynamical theory of thermoelasticity, Journal of the Mechanics and Physics of Solids 15:299306. ##[5] Othman M. I. A., 2002, Lordshulman theory under the dependence of the modulus of elasticity on the reference temperature in twodimensional generalized thermo elasticity, Journal of Thermal Stresses 25:10271045. ##[6] Green A. E., Lindsay K.A., 1972, Thermoelasticity, Journal of Elasticity 2:17. ##[7] Green A. E., Laws N., 1972, On the entropy production inequality, Archive for Rational Mechanics and Analysis45:4753. ##[8] Suhubi E. S., 1975, Thermoelastic Solids in Continuum Physics, Part 2, Chapter2, Academic Press, New York. ##[9] Othman M. I. A., 2004, Relaxation effects on thermal shock problems in an elastic halfspace of generalized magnetothermoelastic waves, Mechanics and Mechanical Engineering 7:165178. ##[10] Iesan D., 1973, The plane micropolar strain of orthotropic elastic solids, Archives of Mechanics 25:547561. ##[11] Iesan D., 1974, Torsion of anisotropic elastic cylinders, Journal of Applied Mathematics and Mechanics 54:773779. ##[12] Iesan D., 1974, Bending of Orthotropic Micropolar Elastic Beams by Terminal Couples, An State University Lasi 20:411 418. ##[13] Nakamura S., Benedict R., Lakes R., 1984, Finite element method for orthotropic micropolar elasticity, International Journal of Engineering Science 22:319330. ##[14] Kumar R., Choudhary S., 2002, Influence and green's function for orthotropic micropolar containua, Archives of Mechanics 54:185198. ##[15] Kumar R., Choudhary S., 2002, Dynamical behavior of orthotropic micropolar elastic medium, Journal of vibration and control 5:1053 1069. ##[16] Kumar R., Choudhary S., 2002, Mechanical sources in orthotropic micropolar continua, Proceedings of the Indian Academy of Sciences 111(2):133141. ##[17] Kumar R., Choudhary S., 2003, Response of orthotropic micropolar elastic medium due to various sources, Meccanica 38:349 368. ##[18] Kumar R., Choudhary S., 2004, Response of orthotropic micropolar elastic medium due to time harmonic sources, Sadhana 29:83 92. ##[19] Singh B., Kumar R., 1998, Reflection of plane wave from a flat boundary of micropolar generalized thermoelastic halfspace, International Journal of Engineering Science 36:865890. ##[20] Singh B., 2000, Reflection of plane sound wave from a micropolar generalized thermoelastic solid halfspace, Journal of sound and vibration 235:685696. ##[21] Othman M.I. A., Lotfy KH., 2009, Twodimensional Problem of generalized magnetothermoelasticity under the Effect of temperature dependent properties for different theories, Multidiscipline Modeling in Materials and Structures 5:235242. ##[22] Othman M.I. A., Lotfy KH., Farouk R.M., 2009, Transient disturbance in a halfspace under generalized magnetothermoelasticity due to moving internal heat source , Acta Physica Polonica A 116:186192. ##[23] Othman M.I. A, Lotfy KH., 2010, On the plane waves in generalized thermomicrostretch elastic halfspace, International Communication in Heat and Mass Transfer 37:192200. ##[24] Othman M.I. A, Lotfy KH., 2009, Effect of magnetic field and inclined load in micropolar thermoelastic medium possessing cubic symmetry, International Journal of Industrial Mathematics 1(2): 87104. ##[25] Othman M.I. A, Lotfy KH., 2010, Generalized thermomicrostretch elastic medium with temperature dependent properties for different theories, Engineering Analysis with Boundary Elements 34:229237.##[26] Lotfy Kh., 2014, Two temperature generalized magnetothermoelastic interactions in an elastic medium under three theories, Applied Mathematics and Computation 227:871888. ##[27] Dhaliwal R., 1980, External Crack due to Thermal Effects in an Infinite Elastic Solid with a Cylindrical Inclusion, Thermal Stresses in Server Environments, Doi: 10.1007/9781461331568_41. ##[28] Hasanyan D., Librescu L., Qin Z., Young R., 2005, Thermoelastic cracked plates carrying nonstationary electrical current, Journal of Thermal Stresses 28:729745. ##[29] Ueda S., 2003, Thermally induced fracture of a piezoelectric Laminate with a crack normal to interfaces, Journal of Thermal Stresses 26:311323. ##[30] Elfalaky A., AbdelHalim A. A., 2006, A modei crack problem for an infinite space in thermoelasticity, Journal of Applied Sciences 6:598606. ## ##]
Rayleigh Wave in an Initially Stressed Transversely Isotropic Dissipative HalfSpace
2
2
The governing equations of a transversely isotropic dissipative medium are solved analytically to obtain the surface wave solutions. The appropriate solutions satisfy the required boundary conditions at the stressfree surface to obtain the frequency equation of Rayleigh wave. The numerical values of the nondimensional speed of Rayleigh wave speed are computed for different values of frequency and initial stress parameter. The effects of transverse isotropy and initial stress parameter are observed on the Rayleigh wave speed.
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270
277


B
Singh
Department of Mathematics, Post Graduate Government College, Sector 11,Chandigarh
Department of Mathematics, Post Graduate
Iran
bsinghgc11@gmail.com
Transversely isotropic
Dissipative medium
Initial stress
Rayleigh wave
Frequency equation
[[1] Sinha S.B., 1964, Transmission of elastic waves through a homogenous layer sandwiched in homogenous media, Journal of Physics of the Earth 12:14. ##[2] Gupta R. N., 1965, Reflection of plane waves from a linear transition layer in liquid media, Geophysics 30:122131. ##[3] Tooly R. D., Spencer T.W., Sagoci H.F., 1965, Reflection and transmission of plane compressional waves, Geophysics 30:552570. ##[4] Gupta R.N., 1966, Reflection of elastic waves from a linear transition layer, The Bulletin of the Seismological Society of America 56:511526.##[5] Gupta R. N.,1967, Propagation of SHwaves in inhomogeneous media, The Journal of the Acoustical Society of America 41:13281329. ##[6] Acharya H.K., 1970, Reflection from the free surface of inhomogeneous media, The Bulletin of the Seismological Society of America 60:11011104.##[7] Cerveny V., 1974, Reflection and transmission coefficients for transition layers, Studia Geophysica et Geodaetica 17:5968. ##[8] Singh B. M., Singh S. J., Chopra S. D., 1978, Reflection and refraction of SHwaves at the plane boundary between two laterally and vertically heterogeneous solids, Acta Geophysica Polonica 26:209216. ##[9] Singh B., 2008, Effect of hydrostatic initial stresses on waves in a thermoelastic solid halfspace, Applied Mathematics and Computation 198:498505.##[10] Sharma M. D., 2007, Effect of initial stress on reflection at the free surfaces of anisotropic elastic medium, Journal of Earth System Science 116:537551. ##[11] Dey S., Dutta D., 1998, Propagation and attenuation of seismic body waves in initially stressed dissipative medium, Acta Geophysica Polonica 46: 351365. ##[12] Selim M. M., Ahmed M. K., 2006, Propagation and attenuation of seismic body waves in dissipative medium under initial and couple stresses, Applied Mathematics and Computation 182:10641074. ##[13] Biot M. A., 1965, Mechanics of Incremental Deformation, John Wiley and Sons Inc., New York.##[14] Selim M. M., 2008, Reflection of plane waves at free surface of an initially stressed dissipative medium, World Academy of Science, Engineering and Technology 30:3643. ##[15] Singh B., Arora J., 2011, Reflection of plane waves from a free surface of an initially stressed transversely iso tropic dissipative medium, Applied Mathematics 2:11291133. ##[16] Biot M. A., 1940, The influence of initial stress on elastic waves, Journal of Applied Physics 11:522530. ##[17] Babich S. Y., Guz A. N., Zhuk A. P, 1979 , Elastic waves in bodies with initial stress, Soviet Applied Mechanics 15:277291. ##[18] Guz A.N., 2002, Elastic waves in bodies with initial (residual) stresses, International Applied Mechanics38:2359. ##[19] Fung Y. C., 1965, Foundation of Solid Mechanics, Prentice Hall of India, New Delhi. ## ##]
Analytical Prediction of Indentation and LowVelocity Impact Responses of Fully Backed Composite Sandwich Plates
2
2
In this paper, static indentation and low velocity impact responses of a fully backed composite sandwich plate subjected to a rigid flatended cylindrical indenter/impactor are analytically investigated. The analysis is nonlinear due to nonlinear straindisplacement relation. In contrast to the existed analytical models for the indentation of composite sandwich plates, the stacking sequence of the face sheets can be completely arbitrary in the present model. Furthermore, the effects of the initial inplane normal and shear forces on the edges of the sandwich plate are also considered. Based on these modifications, an improved contact law (contact force – indentation relation) is derived. The low velocity impact analysis of the problem is performed using a discrete system of springmassdashpot model. The characteristics of the equivalent spring and dashpot are identified from the derived contact law and by incorporating the effect of the dynamic material properties of the sandwich plate. Analytical predictions of the loadindentation response as well as the impact force history are compared well with the experimental results in the literature. The effects of various parameters on both indentation and impact responses of the sandwich plates are qualitatively and quantitatively investigated.
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278
289


M
Hosseini
Centre of Excellence for Research in Advanced Materials and Structures, Faculty of Mechanical Engineering, K.N. Toosi University of Technology
Centre of Excellence for Research in Advanced
Iran


S.M.R
Khalili
Centre of Excellence for Research in Advanced Materials and Structures, Faculty of Mechanical Engineering, K.N. Toosi University of Technology
Faculty of Engineering, Kingston University, London
Centre of Excellence for Research in Advanced
Iran
smrkhalili2005@gmail.com
Indentation
Low velocity impact
Composite sandwich plate
[[1] Abrate S., 1998, Impact on Composite Structures, Cambridge University Press, Cambridge. ##[2] Khalili M.R., 1992, Analysis of the dynamic response of large orthotropic elastic plates to transverse impact and its application to fiber reinforced plates, PhD thesis , Indian Institute of Technology , Delhi.##[3] Mittal R.K., Khalili M.R., 1994, Analysis of impact of a moving body on an orthotropic elastic plate, The American Institute of Aeronautics and Astronautics 32(4):850856.##[4] Wu HYT., Chung FK., 1989, Transient dynamic analysis of laminated composite plates subjected to transverse impact, Computers & Structures 31:453466.##[5] Gong S.W., Toh S.L., Shim P.W., 1994, The elastic response of orthotropic laminated cylindrical shells to lowvelocity impact, Composites Engineering 4(2):247266. ##[6] Williamson J.E., Lagace P.A., 1993, Response mechanism in the impact of graphite/epoxy honeycomb sandwich panels, Proceeding of the Eighth ASC Technical Conference, Cleveland, Ohio. ##[7] Herup E.J., Palazotto A.N., 1997, Lowvelocity impact damage initiation in graphite/epoxy/nomex honeycombsandwich plates, Composites Science and Technology 57:15811598. ##[8] Turk M.H., Hoo Fatt M.S., 1999, Localized damage response of composite sandwich plates, Composites: Part B 30: 157165. ##[9] Hoo Fatt M.S., Park K.S., 2001, Dynamic models for lowvelocity impact damage of composite sandwich panels part a deformation, Composite Structures 52:335351. ##[10] Olsson R., McManus H.L., 1996, Improved theory for contact indentation of sandwich panels, The American Institute of Aeronautics and Astronautics 34:12381244. ##[11] Anderson T., Madenci E., 2000, Graphite/epoxy foam sandwich panels under quasistatic indentation, Engineering Fracture Mechanics 67:329344. ##[12] Gibson L.J., Ashby M.F., 1997, Cellular Solids Structures and Properties, Cambridge University Press, Cambridge. ##[13] Malekzadeh K., Khalili M.R., Mittal R.K., 2006, Response of inplane linearly prestressed composite sandwich panels with transversely flexible core to lowvelocity impact, Journal of Sandwich Structures and Materials 8:157181. ##[14] Hosseini M., Khalili S.M.R., Malekzadeh Fard K., 2011, Indentation analysis of inplane prestressed composite sandwich plates: an improved contact law, Proceedings of the Eighth International Conference on Composite Science and Technology, Kuala Lumpur, Malaysia. ##[15] Goldsmith W., Sackman J.L., 1991, An experimental study of energy absorption in impact on sandwich plates, The International Journal of Impact Engineering 12(2):241262. ## ##]
Surface Effects on Free Vibration Analysis of Nanobeams Using Nonlocal Elasticity: A Comparison Between EulerBernoulli and Timoshenko
2
2
In this paper, surface effects including surface elasticity, surface stress and surface density, on the free vibration analysis of EulerBernoulli and Timoshenko nanobeams are considered using nonlocal elasticity theory. To this end, the balance conditions between nanobeam bulk and its surfaces are considered to be satisfied assuming a linear variation for the component of the normal stress through the nanobeam thickness. The governing equations are obtained and solved for Silicon and Aluminum nanobeams with three different boundary conditions, i.e. SimplySimply, ClampedSimply and ClampedClamped. The results show that the influence of the surface effects on the natural frequencies of the Aluminum nanobeams follows the order CC
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304


Sh
Hosseini – Hashemi
School of Mechanical Engineering, Iran University of Science and Technology
Center of Excellence in Railway Transportation, Iran University of Science and Technology
School of Mechanical Engineering, Iran University
Iran
shh@iust.ac.ir


M
Fakher
School of Mechanical Engineering, Iran University of Science and Technology
School of Mechanical Engineering, Iran University
Iran


R
Nazemnezhad
School of Mechanical Engineering, Iran University of Science and Technology
School of Mechanical Engineering, Iran University
Iran
Surface effects
Nonlocal elasticity
Free vibration
Nanobeam
EulerBernoulli theory
Timoshenko theory
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Temperature Effect on Vibration Analysis of Annular Graphene Sheet Embedded on ViscoPasternak Foundati
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In this study, the vibration behavior of circular and annular graphene sheet embedded in a ViscoPasternak foundation and coupled with temperature change and under inplane preload is studied. The singlelayered annular graphene sheet is coupled by an enclosing viscoelastic medium which is simulated as a Visco Pasternak foundation. By using the nonlocal elasticity theory and classical plate theory, the governing equation is derived for singlelayered graphene sheets (SLGSs). The closedform solution for frequency vibration of circular graphene sheets has been obtained and nonlocal parameter, inplane preload, the parameters of elastic medium and temperature change appears into arguments of Bessel functions. To verify the accuracy of the present results, the new version differential quadrature method (DQM) is also developed. Closedform results are successfully veriﬁed with those of the DQM results. The results are subsequently compared with valid result reported in the literature. The effects of the small scale, preload, mode number, temperature change, elastic medium and boundary conditions on natural frequencies are investigated. The nondimensional frequency decreases at high temperature case with increasing the temperature change for all boundary conditions. The effect of temperature change on the nondimensional frequency vibration becomes the opposite at high temperature case in compression with the low temperature case. The present research work thus reveals that the nonlocal parameter, boundary conditions, temperature change and initial preload have significant effects on vibration response of the circular nanoplates. The present analysis results can be used for the design of the next generation of nanodevices that make use of the thermal vibration properties of the graphene.
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M
Mohammadi
Department of Engineering, Ahvaz Branch, Islamic Azad University
Department of Engineering, Ahvaz Branch,
Iran
m.mohamadi@me.iut.ac.ir


A
Farajpour
Young Researches and Elites Club, North Tehran Branch, Islamic Azad University
Young Researches and Elites Club, North Tehran
Iran


M
Goodarzi
Department of Engineering, Ahvaz Branch, Islamic Azad University
Department of Engineering, Ahvaz Branch,
Iran


H
Mohammadi
Department of Electrical Engineering, Shahid Chamran University of Ahvaz
Department of Electrical Engineering, Shahid
Iran
Vibration
Annular graphene sheet
Temperature change
Inplane preload
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