Edit Profile (opens in new tab) Batra, Romesh C. Co-Author Distance Author ID: batra.romesh-c Published as: Batra, R. C.; Batra, Romesh C. Homepage: http://www2.esm.vt.edu/~rbatra/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · IdRef Documents Indexed: 167 Publications since 1971, including 3 Books 1 Contribution as Editor Co-Authors: 66 Co-Authors with 93 Joint Publications 851 Co-Co-Authors all top 5 Co-Authors 34 single-authored 8 dell’Isola, Francesco 6 Porfiri, Maurizio 6 Vel, Senthil S. 6 Yang, Jiashi 5 Chen, Li 5 Spinello, Davide 4 Vidoli, Stefano 3 Adulla, C. 3 Oh, Hyung-Seok 3 Ruta, Giuseppe Claudio 3 Wright, Thomas W. 2 Bapat, C. N. 2 Chen, Xingju 2 Dryden, John R. 2 Kadić-Galeb, A. 2 Krishnaswamy, Shankar 2 Lear, M. H. 2 Love, B. M. 2 Sircar, Avirup 2 Stevens, J. B. 2 Yu, Jang-Horng 2 Zhang, Xiang-Tong 2 Zhong, Xiaoguang 1 Alanbay, B. 1 Andreaus, Ugo A. 1 Artan, Reha 1 Beatty, Millard F. jun. 1 Bui, Tinh Quoc 1 Ching, Hong-Ka 1 Dubey, R. N. 1 Fu, Xiao-Hua 1 Gilhooley, D. F. 1 Gillespie, John W. jun. 1 Gobinath, T. 1 Hasanyan, Davresh J. 1 Hirose, Sohichi 1 Huang, Yuning 1 Iaccarino, Gianni Luca 1 Jaber, N. A. 1 Jayachandran, R. 1 Klenow, B. 1 Ko, Kwon Il 1 Li, Shirong 1 Lin, Peirong 1 Liu, De-Shin 1 Malsbury, M. E. 1 Mewer, R. C. 1 Müller, Ingo 1 Nechitailo, N. V. 1 Nguyen, Du Dinh 1 Nisewonger, A. 1 Pacheco, A. A. 1 Passman, Stephen L. 1 Patra, Puneet Kumar 1 Qu, Yegao 1 Rattazzi, D. 1 Saccomandi, Giuseppe 1 Sciarra, Giulio 1 Sears, A. 1 Shah, Pratik H. 1 Shi, Ruchao 1 Strehlow, Peter 1 Tang, Min Ming 1 Varghese, A. G. 1 Vigilante, D. 1 Zhang, Xiaodong all top 5 Serials 23 Journal of Elasticity 15 Computational Mechanics 14 International Journal of Solids and Structures 12 Acta Mechanica 11 International Journal of Engineering Science 10 International Journal of Plasticity 8 Mathematics and Mechanics of Solids 6 Journal of Applied Mechanics 5 Archives of Mechanics 5 International Journal for Numerical Methods in Engineering 4 International Journal of Non-Linear Mechanics 4 Journal of Computational Physics 4 Communications in Numerical Methods in Engineering 4 CMES. Computer Modeling in Engineering & Sciences 3 Archive for Rational Mechanics and Analysis 3 Mechanics Research Communications 3 Journal de Mécanique 2 Computer Methods in Applied Mechanics and Engineering 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Communications in Applied Numerical Methods 2 Continuum Mechanics and Thermodynamics 2 European Journal of Mechanics. A. Solids 2 Istituto Lombardo, Accademia di Scienze e Lettere, Rendiconti, Sezione A 1 AIAA Journal 1 Computers and Fluids 1 Computers and Structures 1 Journal of Mathematical and Physical Sciences 1 Journal of the Mechanics and Physics of Solids 1 Journal of Sound and Vibration 1 Meccanica 1 Quarterly of Applied Mathematics 1 Finite Elements in Analysis and Design 1 Applied Mathematical Modelling 1 Archive of Applied Mechanics 1 Engineering Analysis with Boundary Elements 1 International Journal of Fracture 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 157 Mechanics of deformable solids (74-XX) 15 Fluid mechanics (76-XX) 15 Classical thermodynamics, heat transfer (80-XX) 8 Numerical analysis (65-XX) 6 Partial differential equations (35-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Quantum theory (81-XX) 1 Commutative algebra (13-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 135 Publications have been cited 1,118 times in 784 Documents Cited by ▼ Year ▼ Saint-Venant’s principle in linear piezoelectricity. Zbl 0828.73061 Batra, R. C.; Yang, J. S. 67 1995 Modified smoothed particle hydrodynamics method and its application to transient problems. Zbl 1138.74422 Zhang, G. M.; Batra, R. C. 53 2004 Three-dimensional analysis of transient thermal stresses in functionally graded plates. Zbl 1076.74037 Vel, Senthil S.; Batra, R. C. 40 2003 Exact correspondence between eigenvalues of membranes and functionally graded simply supported polygonal plates. Zbl 1235.74209 Cheng, Z.-Q.; Batra, R. C. 35 2000 Analysis of thick plates by using a higher-order shear and normal deformable plate theory and MLPG method with radial basis functions. Zbl 1120.74865 Xiao, J. R.; Batra, R. C.; Gilhooley, D. F.; Gillespie, J. W. jun.; McCarthy, M. A. 29 2007 Wave propagation in functionally graded materials by modified smoothed particle hydrodynamics (MSPH) method. Zbl 1108.74032 Zhang, G. M.; Batra, R. C. 28 2007 Reduced-order models for microelectromechanical rectangular and circular plates incorporating the Casimir force. Zbl 1169.74469 Batra, R. C.; Porfiri, M.; Spinello, D. 24 2008 Saint-Venant’s problem for porous linear elastic materials. Zbl 0891.73011 Dell’Isola, Francesco; Batra, R. C. 24 1997 Interface cracking between functionally graded coatings and substrate under antiplanar shear. Zbl 0900.73602 Jin, Z.-H.; Batra, R. C. 21 1996 Symmetric smoothed particle hydrodynamics (SSPH) method and its application to elastic problems. Zbl 1162.74510 Zhang, G. M.; Batra, R. C. 21 2009 Mixed variational principles in nonlinear electroelasticity. Zbl 0860.73060 Yang, J. S.; Batra, R. C. 21 1995 Comparison of results from four linear constitutive relations in isotropic finite elasticity. Zbl 1345.74008 Batra, R. C. 18 2001 Analysis of elastodynamic deformations near a crack/notch tip by the meshless local Petrov-Galerkin (MLPG) method. Zbl 1152.74343 Batra, R. C.; Ching, H.-K. 18 2002 Search algorithm, and simulation of elastodynamic crack propagation by modified smoothed particle hydrodynamics (MSPH) method. Zbl 1178.74178 Batra, R. C.; Zhang, G. M. 18 2007 Analysis of adiabatic shear bands in elasto-thermo-viscoplastic materials by modified smoothed-particle hydrodynamics (MSPH) method. Zbl 1195.76326 Batra, R. C.; Zhang, G. M. 18 2004 Three-dimensional transient heat conduction in a functionally graded thick plate with a higher-order plate theory and a meshless local Petrov-Galerkin method. Zbl 1143.74321 Qian, L. F.; Batra, R. C. 18 2005 Deflection relationships between the homogeneous Kirchhoff plate theory and different functionally graded plate theories. Zbl 0972.74042 Cheng, Z.-Q.; Batra, R. C. 16 1999 Treatment of material discontinuity in two meshless local Petrov-Galerkin (MLPG) formulations of axisymmetric transient heat conduction. Zbl 1075.80001 Batra, R. C.; Porfiri, M.; Spinello, D. 16 2004 Elastostatic deformations of a thick plate by using a higher-order shear and normal deformable plate theory and two meshless local Petrov-Galerkin (MLPG) methods. Zbl 1148.74344 Qian, L. F.; Batra, R. C.; Chen, L. M. 16 2003 SSPH basis functions for meshless methods, and comparison of solutions with strong and weak formulations. Zbl 1162.74495 Batra, R. C.; Zhang, G. M. 15 2008 Analytical solution for the cylindrical bending vibration of piezoelectric composite plates. Zbl 1075.74549 Vel, Senthil S.; Mewer, R. C.; Batra, R. C. 15 2004 Determination of effective thermomechanical parameters of a mixture of two elastothermoviscoplastic constituents. Zbl 1176.74033 Love, B. M.; Batra, R. C. 15 2006 Three-dimensional analytical solution for hybrid multilayered piezoelectric plates. Zbl 1110.74727 Vel, S. S.; Batra, R. C. 14 2000 Free and forced vibrations of a segmented bar by a meshless local Petrov-Galerkin (MLPG) formulation. Zbl 1162.74494 Batra, R. C.; Porfiri, M.; Spinello, D. 14 2008 An immersed boundary formulation for simulating high-speed compressible viscous flows with moving solids. Zbl 1380.76084 Qu, Yegao; Shi, Ruchao; Batra, Romesh C. 14 2018 Saint-Venant’s principle for linear elastic porous materials. Zbl 0831.73006 Batra, R. C.; Yang, J. S. 13 1995 Linear constitutive relations in isotropic finite elasticity. Zbl 0928.74017 Batra, R. C. 13 1998 Elements of continuum mechanics. Zbl 1093.76001 Batra, Romesh C. 13 2006 The force on a lattice defect in an elastic body. Zbl 0602.73018 Batra, R. C. 13 1987 Free and forced vibrations of thick rectangular plates using higher-order shear and normal deformable plate theory and meshless Petrov-Galerkin (MLPG) method. Zbl 1108.74388 Qian, L. F.; Batra, R. C.; Chen, L. M. 12 2003 An adaptive mesh refinement technique for the analysis of shear bands in plane strain compression of a thermoviscoplastic solid. Zbl 0775.73237 Batra, R. C.; Ko, K.-I. 11 1992 Exact solutions and material tailoring for functionally graded hollow circular cylinders. Zbl 1304.74017 Nie, G. J.; Batra, R. C. 11 2010 Analysis of electrostatic MEMS using meshless local Petrov-Galerkin (MLPG) method. Zbl 1195.74276 Batra, Romesh C.; Porfiri, Maurizio; Spinello, Davide 11 2006 Second-order solution of Saint-Venant’s problem for an elastic bar predeformed in flexure. Zbl 1349.74218 Batra, R. C.; Dell’Isola, F.; Ruta, G. C. 10 2005 Generalized Poynting effects in predeformed prismatic bars. Zbl 0918.73032 Dell’Isola, F.; Ruta, G. C.; Batra, R. C. 10 1998 Continuum models of multi-walled carbon nanotubes. Zbl 1166.74310 Batra, R. C.; Sears, A. 10 2007 Thermodynamics of non-simple elastic materials. Zbl 0352.73007 Batra, R. C. 10 1976 A second-order solution of Saint-Venant’s problem for a piezoelectric circular bar using Signorini’s perturbation method. Zbl 0938.74027 Batra, R. C.; Dell’Isola, F.; Vidoli, S. 9 1998 The generalized plane strain deformations of thick anisotropic composite laminated plates. Zbl 0955.74043 Vel, Senthil S.; Batra, R. C. 9 2000 The vibration of a rectangular laminated elastic plate with embedded piezoelectric sensors and actuators. Zbl 0899.73252 Batra, R. C.; Liang, X. Q. 9 1997 A second-order solution of Saint-Venant’s problem for an elastic pretwisted bar using Signorini’s perturbation method. Zbl 0907.73012 dell’Isola, F.; Ruta, G. C.; Batra, R. C. 9 1998 Derivation of plate and rod equations for a piezoelectric body from a mixed three-dimensional variational principle. Zbl 0987.74029 Vidoli, S.; Batra, R. C. 9 2000 Deformation produced by a simple tensile load in an isotropic elastic body. Zbl 0336.73016 Batra, R. C. 9 1976 Adiabatic shear banding in plane strain problems. Zbl 0709.73025 Batra, R. C.; Liu, De-Shin 9 1989 Saint-Venant’s principle for a helical spring. Zbl 0386.73008 Batra, R. C. 9 1978 Finite plane strain deformations of rubberlike materials. Zbl 0432.73072 Batra, R. C. 9 1980 Saint-Venant’s principle for a micropolar helical body. Zbl 0478.73005 Batra, R. C. 8 1982 Simulation of brittle and ductile fracture in an impact loaded prenotched plate. Zbl 1187.74214 Batra, R. C.; Lear, M. H. 8 2004 Finite dynamic deformations of smart structures. Zbl 0898.73053 Batra, R. C.; Liang, X. Q. 8 1997 Analytical solution of the contact problem of a rigid indenter and an anisotropic linear elastic layer. Zbl 1381.74162 Batra, R. C.; Jiang, W. 8 2008 Analysis of cylindrical bending thermoelastic deformations of functionally graded plates by a meshless local Petrov-Galerkin method. Zbl 1067.74075 Qian, L. F.; Batra, R. C.; Chen, L. M. 8 2004 Free vibrations of a piezoelectric body. Zbl 0812.73053 Yang, J. S.; Batra, R. C. 8 1994 Free vibrations of a strain gradient beam by the method of initial values. Zbl 1307.74040 Artan, R.; Batra, R. C. 8 2012 Steady state penetration of thermoviscoplastic targets. Zbl 0626.73130 Batra, R. C. 7 1988 Modified smoothed particle hydrodynamics (MSPH) basis functions for meshless methods, and their application to axisymmetric Taylor impact test. Zbl 1290.74021 Batra, R. C.; Zhang, G. M. 7 2008 Vibrations of cracked Euler-Bernoulli beams using meshless local Petrov-Galerkin (MLPG) method. Zbl 1232.74028 Andreaus, U.; Batra, R. C.; Porfiri, M. 7 2005 Quasistatic indentation of a rubber-covered roll by a rigid roll. Zbl 0468.73095 Batra, R. C. 7 1981 Application of Zienkiewicz–Zhu’s error estimate with superconvergent patch recovery to hierarchical p-refinement. Zbl 0923.73065 Oh, Hyung-Seok; Batra, R. C. 7 1999 Effect of viscoplastic relations on the instability strain, shear band initiation strain, the strain corresponding to the minimum shear band spacing, and the band width in a thermoviscoplastic material. Zbl 1011.74010 Batra, R. C.; Chen, L. 7 2001 Material tailoring and universal relations for axisymmetric deformations of functionally graded rubberlike cylinders and spheres. Zbl 1269.74020 Batra, R. C. 7 2011 Analysis of 2-dimensional transient problems for linear elastic and piezoelectric structures using the consecutive-interpolation quadrilateral element (CQ4). Zbl 1406.74077 Bui, Tinh Quoc; Nguyen, Du Dinh; Zhang, Xiaodong; Hirose, Sohichi; Batra, Romesh C. 7 2016 Treloar’s biaxial tests and Kearsley’s bifurcation in rubber sheets. Zbl 1133.74016 Batra, R. C.; Mueller, Ingo; Strehlow, Peter 6 2005 Adiabatic shear bands in axisymmetric impact and penetration problems. Zbl 0906.73020 Batra, R. C.; Stevens, J. B. 6 1998 A thermomechanical theory of solid-fluid mixtures. Zbl 1001.74504 Krishnaswamy, Shankar; Batra, R. C. 6 1997 Generalized plane strain thermoelastic deformation of laminated anisotropic thick plates. Zbl 1010.74036 Vel, Senthil S.; Batra, R. C. 6 2001 Static deformations of a linear elastic porous body filled with an inviscid fluid. Zbl 1060.74022 Dell’Isola, F.; Sciarra, G.; Batra, R. C. 6 2003 Adiabatic shear banding in plane strain tensile deformations of 11 thermoelastoviscoplastic materials with finite thermal wave speed. Zbl 1148.74309 Batra, R. C.; Lear, M. H. 6 2005 Saint-Venant’s principle in linear elasticity with microstructure. Zbl 0537.73003 Batra, R. C. 5 1983 Locations of optimal stress points in higher-order elements. Zbl 0921.73236 Oh, Hyung-Seok; Batra, R. C. 5 1999 Consideration of microstructural effects in the analysis of adiabatic shear bands in a tungsten heavy alloy. Zbl 1136.74308 Batra, R. C.; Love, B. M. 5 2006 On the coincidence of the principal axes of stress and strain in isotropic elastic bodies. Zbl 0356.73012 Batra, R. C. 5 1975 Energy-momentum tensors in nonsimple elastic dielectrics. Zbl 0876.73059 Huang, Yu-Ning; Batra, R. C. 5 1996 Analysis of failure modes in an impact loaded thermoviscoplastic prenotched plate. Zbl 1032.74647 Batra, R. C.; Jaber, N. A.; Malsbury, M. E. 5 2003 Multimode vibration suppression with passive two-terminal distributed network incorporating piezoceramic transducers. Zbl 1121.74033 Batra, R. C.; dell’Isola, F.; Vidoli, S.; Vigilante, D. 4 2005 Saint-Venant’s problem for a second-order piezoelectric prismatic bar. Zbl 1210.74078 Vidoli, S.; Batra, R. C.; Dell’isola, F. 4 2000 The vibration of a simply supported rectangular elastic plate due to piezoelectric actuators. Zbl 0900.73388 Batra, R. C.; Liang, X. Q.; Yang, J. S. 4 1996 Local slamming impact of sandwich composite hulls. Zbl 1215.74018 Qin, Z.; Batra, R. C. 4 2009 A thermomechanical theory for a porous anisotropic elastic solid with inclusions. Zbl 0563.73008 Passman, Stephen L.; Batra, Romesh C. 4 1984 Saint-Venant’s principle for a helical piezoelectric body. Zbl 0878.73057 Batra, R. C.; Zhong, X. 4 1996 Analysis of failure modes in impulsively loaded pre-notched steel plates. Zbl 0900.73604 Batra, R. C.; Nechitailo, N. V. 4 1997 An adaptive mesh refinement technique for two-dimensional shear band problems. Zbl 0800.73402 Batra, R. C.; Hwang, J. 4 1993 Torsional deformations and material tailoring of orthotropic bi-directional FGM hollow truncated conical cylinders with curved lateral surfaces. Zbl 1423.74016 Batra, R. C.; Nie, G. J. 4 2018 Linear constitutive relations in isotropic finite viscoelasticity. Zbl 0976.74013 Batra, R. C.; Yu, Jang-Horng 3 1999 Effect of prior quasi-static loading on the initiation and growth of dynamic adiabatic shear bands. Zbl 0850.73086 Batra, R. C.; Adulla, C. 3 1995 On extensional oscillations and waves in elastic rods. Addendum to “On extensional oscillations and waves in elastic rods”. Zbl 1001.74569 Krishnaswamy, Shankar; Batra, R. C. 3 1998 Analysis of adiabatic shear bands in heat-conducting elastothermoviscoplastic materials by the meshless local Bubnov-Galerkin method. Zbl 1173.74048 Batra, R. C.; Spinello, D. 3 2009 Instabilities in biaxially loaded rectangular membranes and spherical balloons made of compressible isotropic hyperelastic materials. Zbl 1076.74020 Batra, R. C. 3 2005 On non-classical boundary conditions. Zbl 0252.73010 Batra, R. C. 3 1972 A theorem in the theory of incompressible Navier-Stokes-Fourier fluids. Zbl 0285.76008 Batra, R. C. 3 1974 Analysis of rubber-like materials using meshless local Petrov-Galerkin (MLPG) method. Zbl 1241.74038 Batra, R. C.; Porfiri, M. 3 2008 Analysis of dynamic shear bands in porous thermally softening viscoplastic materials. Zbl 0825.73191 Batra, R. C.; Jin, X. S. 3 1994 Dynamic shear band development in dipolar thermoviscoplastic materials. Zbl 0807.73026 Batra, R. C.; Hwang, J. 3 1994 Stress singularities and transverse stresses near edges of doubly curved laminated shells using TSNDT and stress recovery scheme. Zbl 1406.74271 Shah, P. H.; Batra, R. C. 3 2017 Optimum Young’s modulus of a homogeneous cylinder energetically equivalent to a functionally graded cylinder. Zbl 1263.74006 Dryden, John; Batra, Romesh C. 3 2013 Misuse of Eringen’s nonlocal elasticity theory for functionally graded materials. Zbl 07314426 Batra, R. C. 3 2021 A comparison of solutions for adiabatic shear banding by forward- difference and Crank-Nicolson methods. Zbl 0655.73042 Batra, R. C.; Wright, T. W. 2 1988 The asymptotic structure of a shear band in mode-II deformations. Zbl 1210.74053 Chen, L.; Batra, R. C. 2 1999 Adiabatic shear bands in the Taylor impact test for a WHA rod. Zbl 0945.74654 Stevens, J. B.; Batra, R. C. 2 1998 Development of shear bands during the perforation of a steel plate. Zbl 0844.73072 Batra, R. C.; Peng, Z. 2 1996 Constitutive equations for thermomechanical deformations of glassy polymers. Zbl 1183.74010 Varghese, A. G.; Batra, R. C. 2 2009 Misuse of Eringen’s nonlocal elasticity theory for functionally graded materials. Zbl 07314426 Batra, R. C. 3 2021 Casimir force and its effects on pull-in instability modelled using molecular dynamics simulations. Zbl 1472.81234 Sircar, Avirup; Patra, Puneet Kumar; Batra, Romesh C. 1 2020 An immersed boundary formulation for simulating high-speed compressible viscous flows with moving solids. Zbl 1380.76084 Qu, Yegao; Shi, Ruchao; Batra, Romesh C. 14 2018 Torsional deformations and material tailoring of orthotropic bi-directional FGM hollow truncated conical cylinders with curved lateral surfaces. Zbl 1423.74016 Batra, R. C.; Nie, G. J. 4 2018 Stress singularities and transverse stresses near edges of doubly curved laminated shells using TSNDT and stress recovery scheme. Zbl 1406.74271 Shah, P. H.; Batra, R. C. 3 2017 Analysis of 2-dimensional transient problems for linear elastic and piezoelectric structures using the consecutive-interpolation quadrilateral element (CQ4). Zbl 1406.74077 Bui, Tinh Quoc; Nguyen, Du Dinh; Zhang, Xiaodong; Hirose, Sohichi; Batra, Romesh C. 7 2016 Optimum Young’s modulus of a homogeneous cylinder energetically equivalent to a functionally graded cylinder. Zbl 1263.74006 Dryden, John; Batra, Romesh C. 3 2013 Material tailoring and moduli homogenization for finite twisting deformations of functionally graded Mooney-Rivlin hollow cylinders. Zbl 1401.74041 Dryden, J. R.; Batra, R. C. 2 2013 Free vibrations of a strain gradient beam by the method of initial values. Zbl 1307.74040 Artan, R.; Batra, R. C. 8 2012 Analytical solution for radial deformations of functionally graded isotropic and incompressible second-order elastic hollow spheres. Zbl 1332.74009 Iaccarino, G. L.; Batra, R. C. 1 2012 Material tailoring and universal relations for axisymmetric deformations of functionally graded rubberlike cylinders and spheres. Zbl 1269.74020 Batra, R. C. 7 2011 Exact solutions and material tailoring for functionally graded hollow circular cylinders. Zbl 1304.74017 Nie, G. J.; Batra, R. C. 11 2010 Free vibration of three-layer circular cylindrical shells with functionally graded middle layer. Zbl 1272.74289 Li, Shi-Rong; Fu, Xiao-Hua; Batra, R. C. 2 2010 Symmetric smoothed particle hydrodynamics (SSPH) method and its application to elastic problems. Zbl 1162.74510 Zhang, G. M.; Batra, R. C. 21 2009 Local slamming impact of sandwich composite hulls. Zbl 1215.74018 Qin, Z.; Batra, R. C. 4 2009 Analysis of adiabatic shear bands in heat-conducting elastothermoviscoplastic materials by the meshless local Bubnov-Galerkin method. Zbl 1173.74048 Batra, R. C.; Spinello, D. 3 2009 Constitutive equations for thermomechanical deformations of glassy polymers. Zbl 1183.74010 Varghese, A. G.; Batra, R. C. 2 2009 Reduced-order models for microelectromechanical rectangular and circular plates incorporating the Casimir force. Zbl 1169.74469 Batra, R. C.; Porfiri, M.; Spinello, D. 24 2008 SSPH basis functions for meshless methods, and comparison of solutions with strong and weak formulations. Zbl 1162.74495 Batra, R. C.; Zhang, G. M. 15 2008 Free and forced vibrations of a segmented bar by a meshless local Petrov-Galerkin (MLPG) formulation. Zbl 1162.74494 Batra, R. C.; Porfiri, M.; Spinello, D. 14 2008 Analytical solution of the contact problem of a rigid indenter and an anisotropic linear elastic layer. Zbl 1381.74162 Batra, R. C.; Jiang, W. 8 2008 Modified smoothed particle hydrodynamics (MSPH) basis functions for meshless methods, and their application to axisymmetric Taylor impact test. Zbl 1290.74021 Batra, R. C.; Zhang, G. M. 7 2008 Analysis of rubber-like materials using meshless local Petrov-Galerkin (MLPG) method. Zbl 1241.74038 Batra, R. C.; Porfiri, M. 3 2008 Analysis of thick plates by using a higher-order shear and normal deformable plate theory and MLPG method with radial basis functions. Zbl 1120.74865 Xiao, J. R.; Batra, R. C.; Gilhooley, D. F.; Gillespie, J. W. jun.; McCarthy, M. A. 29 2007 Wave propagation in functionally graded materials by modified smoothed particle hydrodynamics (MSPH) method. Zbl 1108.74032 Zhang, G. M.; Batra, R. C. 28 2007 Search algorithm, and simulation of elastodynamic crack propagation by modified smoothed particle hydrodynamics (MSPH) method. Zbl 1178.74178 Batra, R. C.; Zhang, G. M. 18 2007 Continuum models of multi-walled carbon nanotubes. Zbl 1166.74310 Batra, R. C.; Sears, A. 10 2007 Reflection and transmission of plane waves at an interface between two fluids. Zbl 1194.76263 Klenow, B.; Nisewonger, A.; Batra, R. C.; Brown, A. 2 2007 Determination of effective thermomechanical parameters of a mixture of two elastothermoviscoplastic constituents. Zbl 1176.74033 Love, B. M.; Batra, R. C. 15 2006 Elements of continuum mechanics. Zbl 1093.76001 Batra, Romesh C. 13 2006 Analysis of electrostatic MEMS using meshless local Petrov-Galerkin (MLPG) method. Zbl 1195.74276 Batra, Romesh C.; Porfiri, Maurizio; Spinello, Davide 11 2006 Consideration of microstructural effects in the analysis of adiabatic shear bands in a tungsten heavy alloy. Zbl 1136.74308 Batra, R. C.; Love, B. M. 5 2006 Shear bands due to heat flux prescribed at boundaries. Zbl 1087.74016 Batra, R. C.; Wei, Z. G. 2 2006 Three-dimensional transient heat conduction in a functionally graded thick plate with a higher-order plate theory and a meshless local Petrov-Galerkin method. Zbl 1143.74321 Qian, L. F.; Batra, R. C. 18 2005 Second-order solution of Saint-Venant’s problem for an elastic bar predeformed in flexure. Zbl 1349.74218 Batra, R. C.; Dell’Isola, F.; Ruta, G. C. 10 2005 Vibrations of cracked Euler-Bernoulli beams using meshless local Petrov-Galerkin (MLPG) method. Zbl 1232.74028 Andreaus, U.; Batra, R. C.; Porfiri, M. 7 2005 Treloar’s biaxial tests and Kearsley’s bifurcation in rubber sheets. Zbl 1133.74016 Batra, R. C.; Mueller, Ingo; Strehlow, Peter 6 2005 Adiabatic shear banding in plane strain tensile deformations of 11 thermoelastoviscoplastic materials with finite thermal wave speed. Zbl 1148.74309 Batra, R. C.; Lear, M. H. 6 2005 Multimode vibration suppression with passive two-terminal distributed network incorporating piezoceramic transducers. Zbl 1121.74033 Batra, R. C.; dell’Isola, F.; Vidoli, S.; Vigilante, D. 4 2005 Instabilities in biaxially loaded rectangular membranes and spherical balloons made of compressible isotropic hyperelastic materials. Zbl 1076.74020 Batra, R. C. 3 2005 Modified smoothed particle hydrodynamics method and its application to transient problems. Zbl 1138.74422 Zhang, G. M.; Batra, R. C. 53 2004 Analysis of adiabatic shear bands in elasto-thermo-viscoplastic materials by modified smoothed-particle hydrodynamics (MSPH) method. Zbl 1195.76326 Batra, R. C.; Zhang, G. M. 18 2004 Treatment of material discontinuity in two meshless local Petrov-Galerkin (MLPG) formulations of axisymmetric transient heat conduction. Zbl 1075.80001 Batra, R. C.; Porfiri, M.; Spinello, D. 16 2004 Analytical solution for the cylindrical bending vibration of piezoelectric composite plates. Zbl 1075.74549 Vel, Senthil S.; Mewer, R. C.; Batra, R. C. 15 2004 Simulation of brittle and ductile fracture in an impact loaded prenotched plate. Zbl 1187.74214 Batra, R. C.; Lear, M. H. 8 2004 Analysis of cylindrical bending thermoelastic deformations of functionally graded plates by a meshless local Petrov-Galerkin method. Zbl 1067.74075 Qian, L. F.; Batra, R. C.; Chen, L. M. 8 2004 Additional universal relations for transversely isotropic elastic materials. Zbl 1059.74012 Saccomandi, Giuseppe; Batra, R. C. 2 2004 Three-dimensional analysis of transient thermal stresses in functionally graded plates. Zbl 1076.74037 Vel, Senthil S.; Batra, R. C. 40 2003 Elastostatic deformations of a thick plate by using a higher-order shear and normal deformable plate theory and two meshless local Petrov-Galerkin (MLPG) methods. Zbl 1148.74344 Qian, L. F.; Batra, R. C.; Chen, L. M. 16 2003 Free and forced vibrations of thick rectangular plates using higher-order shear and normal deformable plate theory and meshless Petrov-Galerkin (MLPG) method. Zbl 1108.74388 Qian, L. F.; Batra, R. C.; Chen, L. M. 12 2003 Static deformations of a linear elastic porous body filled with an inviscid fluid. Zbl 1060.74022 Dell’Isola, F.; Sciarra, G.; Batra, R. C. 6 2003 Analysis of failure modes in an impact loaded thermoviscoplastic prenotched plate. Zbl 1032.74647 Batra, R. C.; Jaber, N. A.; Malsbury, M. E. 5 2003 Exact thermoelasticity solution for cylindrical bending deformations of functionally graded plates. Zbl 1329.74073 Vel, Senthil S.; Batra, R. C. 1 2003 Analysis of elastodynamic deformations near a crack/notch tip by the meshless local Petrov-Galerkin (MLPG) method. Zbl 1152.74343 Batra, R. C.; Ching, H.-K. 18 2002 Effective properties of a piezocomposite containing shape memory alloy and inert inclusions. Zbl 1100.74614 Jiang, B.; Batra, R. C. 2 2002 Universal relations for transversely isotropic elastic materials. Zbl 1045.74012 Batra, R. C. 2 2002 Comparison of results from four linear constitutive relations in isotropic finite elasticity. Zbl 1345.74008 Batra, R. C. 18 2001 Effect of viscoplastic relations on the instability strain, shear band initiation strain, the strain corresponding to the minimum shear band spacing, and the band width in a thermoviscoplastic material. Zbl 1011.74010 Batra, R. C.; Chen, L. 7 2001 Generalized plane strain thermoelastic deformation of laminated anisotropic thick plates. Zbl 1010.74036 Vel, Senthil S.; Batra, R. C. 6 2001 Instability analysis and shear band spacing in gradient-dependent thermoviscoplastic materials with finite speeds of thermal waves. Zbl 1006.74026 Batra, R. C.; Chen, L. 1 2001 Exact correspondence between eigenvalues of membranes and functionally graded simply supported polygonal plates. Zbl 1235.74209 Cheng, Z.-Q.; Batra, R. C. 35 2000 Three-dimensional analytical solution for hybrid multilayered piezoelectric plates. Zbl 1110.74727 Vel, S. S.; Batra, R. C. 14 2000 The generalized plane strain deformations of thick anisotropic composite laminated plates. Zbl 0955.74043 Vel, Senthil S.; Batra, R. C. 9 2000 Derivation of plate and rod equations for a piezoelectric body from a mixed three-dimensional variational principle. Zbl 0987.74029 Vidoli, S.; Batra, R. C. 9 2000 Saint-Venant’s problem for a second-order piezoelectric prismatic bar. Zbl 1210.74078 Vidoli, S.; Batra, R. C.; Dell’isola, F. 4 2000 Torsion of a viscoelastic cylinder. Zbl 1110.74334 Batra, R. C.; Yu, J. H. 1 2000 Deflection relationships between the homogeneous Kirchhoff plate theory and different functionally graded plate theories. Zbl 0972.74042 Cheng, Z.-Q.; Batra, R. C. 16 1999 Application of Zienkiewicz–Zhu’s error estimate with superconvergent patch recovery to hierarchical p-refinement. Zbl 0923.73065 Oh, Hyung-Seok; Batra, R. C. 7 1999 Locations of optimal stress points in higher-order elements. Zbl 0921.73236 Oh, Hyung-Seok; Batra, R. C. 5 1999 Linear constitutive relations in isotropic finite viscoelasticity. Zbl 0976.74013 Batra, R. C.; Yu, Jang-Horng 3 1999 The asymptotic structure of a shear band in mode-II deformations. Zbl 1210.74053 Chen, L.; Batra, R. C. 2 1999 Rotational dependence of the superconvergent patch recovery and its remedy for 4-node isoparametric quadrilateral elements. Zbl 0952.74073 Oh, Hyung-Seok; Batra, R. C. 1 1999 Shear band spacing in gradient-dependent thermoviscoplastic materials. Zbl 0989.74010 Batra, R. C.; Chen, L. 1 1999 Effect of material paramters on shear band spacing in work-hardening gradient-dependent thermoviscoplastic materials. Zbl 1043.74505 Chen, L.; Batra, R. C. 1 1999 Linear constitutive relations in isotropic finite elasticity. Zbl 0928.74017 Batra, R. C. 13 1998 Generalized Poynting effects in predeformed prismatic bars. Zbl 0918.73032 Dell’Isola, F.; Ruta, G. C.; Batra, R. C. 10 1998 A second-order solution of Saint-Venant’s problem for a piezoelectric circular bar using Signorini’s perturbation method. Zbl 0938.74027 Batra, R. C.; Dell’Isola, F.; Vidoli, S. 9 1998 A second-order solution of Saint-Venant’s problem for an elastic pretwisted bar using Signorini’s perturbation method. Zbl 0907.73012 dell’Isola, F.; Ruta, G. C.; Batra, R. C. 9 1998 Adiabatic shear bands in axisymmetric impact and penetration problems. Zbl 0906.73020 Batra, R. C.; Stevens, J. B. 6 1998 On extensional oscillations and waves in elastic rods. Addendum to “On extensional oscillations and waves in elastic rods”. Zbl 1001.74569 Krishnaswamy, Shankar; Batra, R. C. 3 1998 Adiabatic shear bands in the Taylor impact test for a WHA rod. Zbl 0945.74654 Stevens, J. B.; Batra, R. C. 2 1998 Saint-Venant’s problem for porous linear elastic materials. Zbl 0891.73011 Dell’Isola, Francesco; Batra, R. C. 24 1997 The vibration of a rectangular laminated elastic plate with embedded piezoelectric sensors and actuators. Zbl 0899.73252 Batra, R. C.; Liang, X. Q. 9 1997 Finite dynamic deformations of smart structures. Zbl 0898.73053 Batra, R. C.; Liang, X. Q. 8 1997 A thermomechanical theory of solid-fluid mixtures. Zbl 1001.74504 Krishnaswamy, Shankar; Batra, R. C. 6 1997 Analysis of failure modes in impulsively loaded pre-notched steel plates. Zbl 0900.73604 Batra, R. C.; Nechitailo, N. V. 4 1997 Adiabatic shear banding in a thick-walled steel tube. Zbl 0921.73135 Batra, R. C.; Rattazzi, D. 2 1997 Interface cracking between functionally graded coatings and substrate under antiplanar shear. Zbl 0900.73602 Jin, Z.-H.; Batra, R. C. 21 1996 Energy-momentum tensors in nonsimple elastic dielectrics. Zbl 0876.73059 Huang, Yu-Ning; Batra, R. C. 5 1996 The vibration of a simply supported rectangular elastic plate due to piezoelectric actuators. Zbl 0900.73388 Batra, R. C.; Liang, X. Q.; Yang, J. S. 4 1996 Saint-Venant’s principle for a helical piezoelectric body. Zbl 0878.73057 Batra, R. C.; Zhong, X. 4 1996 Development of shear bands during the perforation of a steel plate. Zbl 0844.73072 Batra, R. C.; Peng, Z. 2 1996 Shape control of vibrating simply supported rectangular plates. Zbl 0894.73097 Batra, R. C.; Liang, X. Q.; Yang, J. S. 2 1996 Modeling of macroscopic response of phase transforming materials under quasi-static loading. Zbl 0890.73007 Zhong, Xiaoguang; Batra, R. C. 1 1996 Saint-Venant’s principle in linear piezoelectricity. Zbl 0828.73061 Batra, R. C.; Yang, J. S. 67 1995 Mixed variational principles in nonlinear electroelasticity. Zbl 0860.73060 Yang, J. S.; Batra, R. C. 21 1995 Saint-Venant’s principle for linear elastic porous materials. Zbl 0831.73006 Batra, R. C.; Yang, J. S. 13 1995 Effect of prior quasi-static loading on the initiation and growth of dynamic adiabatic shear bands. Zbl 0850.73086 Batra, R. C.; Adulla, C. 3 1995 Effect of loading direction and initial imperfections on the development of dynamic shear bands in a FCC single crystal. Zbl 0873.73009 Batra, R. C.; Zhu, Z. G. 1 1995 Toughening due to transformations induced by a crack tip stress field in ferroelastic materials. Zbl 0919.73221 Ru, C. Q.; Batra, R. C. 1 1995 ...and 35 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,320 Authors 53 Batra, Romesh C. 16 Sofonea, Mircea 13 Iesan, Dorin 10 Migórski, Stanisław 9 Ochal, Anna 8 Giorgio, Ivan 8 Jiang, Tao 8 Liew, Kim Meow 8 Porfiri, Maurizio 8 Xu, Xiaoyang 7 Barboteu, Mikaël 7 Fernández, Jose Ramon 7 Ren, Jinlian 6 Andreaus, Ugo A. 6 Carrera, Erasmo 6 Charalambakis, Nicolas Ch. 6 Chatzigeorgiou, George 6 dell’Isola, Francesco 6 Rabczuk, Timon 6 Vaghefi, Reza Monir 6 Waisman, Haim 6 Zenkour, Ashraf M. 5 Abascal, Ramón 5 Akhlaghi, Mehdi 5 Dehghan Takht Fooladi, Mehdi 5 Essoufi, El Hassan 5 Friedrich, Manuel 5 Massoudi, Mehrdad 5 Placidi, Luca 5 Solyaev, Yury O. 5 Steinmann, Paul 5 Yu, Peng 4 Bersani, Alberto Maria 4 Chiriţă, Stan 4 Della Corte, Alessandro 4 Fakhar, Rachid 4 Ferreira, António Joaquim Mendes 4 Han, Weimin 4 Hidayat, Mas Irfan Purbawanto 4 Hosseini, Seyed Mahmoud 4 Kružík, Martin 4 Kulikov, Gennady M. 4 Li, Shaofan 4 Liu, Moubin 4 Lurie, Sergey A. 4 Mirzaei, Davoud 4 Murat, François 4 Nguyen-Xuan, Hung 4 Saccomandi, Giuseppe 4 Sladek, Jan 4 Sladek, Vladimir 4 Sobhani Aragh, B. 4 Spinello, Davide 4 Thai, Huu-Tai 4 Wang, Biao 4 Yang, Jie 4 Yas, M. H. 4 Zhou, Zhengong 3 Ahmadian, Mohammad Taghi 3 Asemi, Kamran 3 Atluri, Satya N. 3 Beheshti, Alireza 3 Benaissa, Hicham 3 Casey, James 3 Chen, Weiqiu 3 Cheng, Rongjun 3 Choi, Dong-Ho 3 Cinefra, Maria 3 Do Nguyen Van Vuong 3 Dökmeci, M. Cengiz 3 Ebrahimnejad, M. 3 Faal, Reza Teymoori 3 Giovine, Pasquale 3 González, José Angel 3 Hao, Yuxin 3 Hematiyan, Mohammad Rahim 3 Imin, Rahmatjan 3 Jarak, Tomislav 3 Kapuria, Santosh 3 Karami, Behrouz 3 Kazmi, Kamran 3 Khoei, Amir R. 3 King, J. R. C. 3 Klapp, Jaime 3 Klisch, Stephen M. 3 Korobeĭnikov, Sergeĭ Nikolaevich 3 Kushnir, Uri 3 Lekszycki, Tomasz 3 Lim, Cheewah 3 Lind, Steven J. 3 Liu, Wing Kam 3 Lü, Chaofeng 3 Madeo, Angela 3 Martínez, Rebeca 3 McAuliffe, Colin 3 Medina, Lior 3 Miehe, Christian 3 Neff, Patrizio 3 Oden, John Tinsley 3 Ortiz, Michael ...and 1,220 more Authors all top 5 Cited in 117 Serials 63 Acta Mechanica 50 Applied Mathematical Modelling 49 Engineering Analysis with Boundary Elements 48 Computer Methods in Applied Mechanics and Engineering 48 Mathematics and Mechanics of Solids 48 European Journal of Mechanics. A. Solids 40 International Journal of Engineering Science 31 Journal of Elasticity 29 Computational Mechanics 23 Meccanica 20 Journal of Computational Physics 18 International Journal for Numerical Methods in Engineering 18 Continuum Mechanics and Thermodynamics 14 International Journal of Solids and Structures 13 Computers and Fluids 13 Applied Mathematics and Computation 13 Archive of Applied Mechanics 12 International Journal of Computational Methods 11 Journal of the Mechanics and Physics of Solids 11 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 8 Journal of Engineering Mathematics 8 Journal of Mathematical Analysis and Applications 8 Mathematical Problems in Engineering 7 Computers & Mathematics with Applications 6 Archive for Rational Mechanics and Analysis 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 AMM. Applied Mathematics and Mechanics. (English Edition) 5 International Journal of Plasticity 5 Applied Mathematics and Mechanics. (English Edition) 5 Communications in Numerical Methods in Engineering 5 Engineering Computations 4 Mechanics Research Communications 4 Applied Numerical Mathematics 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 International Journal of Fracture 4 Acta Mechanica Sinica 4 International Journal of Structural Stability and Dynamics 3 Computer Physics Communications 3 Wave Motion 3 International Journal of Computer Mathematics 3 Computational and Applied Mathematics 3 Journal of Vibration and Control 3 Journal of Applied Mechanics and Technical Physics 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Nonlinear Dynamics and Systems Theory 2 Journal of Computational and Applied Mathematics 2 Mathematics and Computers in Simulation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Quarterly of Applied Mathematics 2 Mathematical and Computer Modelling 2 European Journal of Applied Mathematics 2 Applications of Mathematics 2 Nonlinear Analysis. Real World Applications 2 Mathematical Modelling and Analysis 2 Archives of Computational Methods in Engineering 2 Journal of Zhejiang University. Science A 2 Advances in Applied Mathematics and Mechanics 2 International Journal for Numerical Methods in Biomedical Engineering 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Journal of Siberian Federal University. Mathematics & Physics 1 Applicable Analysis 1 International Journal of Heat and Mass Transfer 1 International Journal for Numerical Methods in Fluids 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of Applied Mathematics and Mechanics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Journal of Theoretical and Applied Mechanics (Sofia) 1 Automatica 1 Mathematische Nachrichten 1 Numerical Functional Analysis and Optimization 1 Acta Applicandae Mathematicae 1 Finite Elements in Analysis and Design 1 Numerical Methods for Partial Differential Equations 1 Journal of Global Optimization 1 Glasnik Matematički. Serija III 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Applicationes Mathematicae 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications 1 Science in China. Series E 1 Journal of Applied Analysis 1 Nonlinear Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 Optimization and Engineering 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Milan Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 GAMM-Mitteilungen 1 Chebyshevskiĭ Sbornik 1 SIAM Journal on Imaging Sciences ...and 17 more Serials all top 5 Cited in 27 Fields 676 Mechanics of deformable solids (74-XX) 136 Numerical analysis (65-XX) 100 Fluid mechanics (76-XX) 62 Partial differential equations (35-XX) 34 Classical thermodynamics, heat transfer (80-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 16 Statistical mechanics, structure of matter (82-XX) 13 Biology and other natural sciences (92-XX) 11 Optics, electromagnetic theory (78-XX) 7 Mechanics of particles and systems (70-XX) 5 Operator theory (47-XX) 4 Ordinary differential equations (34-XX) 4 Differential geometry (53-XX) 3 Statistics (62-XX) 3 Systems theory; control (93-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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