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## Batra, Romesh C.

Compute Distance To:
 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
 Documents Indexed: 165 Publications since 1971, including 4 Books
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#### Co-Authors

 34 single-authored 8 dell’Isola, Francesco 6 Porfiri, Maurizio 6 Vel, Senthil S. 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 Dryden, John R. 2 Kadić-Galeb, A. 2 Krishnaswamy, Shankar 2 Lear, M. H. 2 Love, B. M. 2 Stevens, J. B. 2 Yu, Jang-Horng 2 Zhang, Xiang-Tong 2 Zhong, Xiaoguang 1 Andreaus, Ugo A. 1 Artan, Reha 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 Qu, Yegao 1 Rattazzi, D. 1 Saccomandi, Giuseppe 1 Sciarra, Giulio 1 Sears, A. 1 Shah, P. H. 1 Shi, Ruchao 1 Strehlow, Peter 1 Tang, Min Ming 1 Varghese, A. G. 1 Vigilante, D. 1 Zhang, Xiaodong
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#### Serials

 22 Journal of Elasticity 15 Computational Mechanics 14 International Journal of Solids and Structures 12 Acta Mechanica 10 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
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#### Fields

 155 Mechanics of deformable solids (74-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 Fluid mechanics (76-XX) 8 Numerical analysis (65-XX) 6 Partial differential equations (35-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-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) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

131 Publications have been cited 947 times in 671 Documents Cited by Year
Saint-Venant’s principle in linear piezoelectricity. Zbl 0828.73061
Batra, R. C.; Yang, J. S.
1995
Modified smoothed particle hydrodynamics method and its application to transient problems. Zbl 1138.74422
Zhang, G. M.; Batra, R. C.
2004
Three-dimensional analysis of transient thermal stresses in functionally graded plates. Zbl 1076.74037
Vel, Senthil S.; Batra, R. C.
2003
Exact correspondence between eigenvalues of membranes and functionally graded simply supported polygonal plates. Zbl 1235.74209
Cheng, Z.-Q.; Batra, R. C.
2000
Saint-Venant’s problem for porous linear elastic materials. Zbl 0891.73011
Dell’Isola, Francesco; Batra, R. C.
1997
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.
2007
Wave propagation in functionally graded materials by modified smoothed particle hydrodynamics (MSPH) method. Zbl 1108.74032
Zhang, G. M.; Batra, R. C.
2007
Mixed variational principles in nonlinear electroelasticity. Zbl 0860.73060
Yang, J. S.; Batra, R. C.
1995
Interface cracking between functionally graded coatings and substrate under antiplanar shear. Zbl 0900.73602
Jin, Z.-H.; Batra, R. C.
1996
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.
2005
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.
2002
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.
2003
Comparison of results from four linear constitutive relations in isotropic finite elasticity. Zbl 1345.74008
Batra, R. C.
2001
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.
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.
2004
Reduced-order models for microelectromechanical rectangular and circular plates incorporating the Casimir force. Zbl 1169.74469
Batra, R. C.; Porfiri, M.; Spinello, D.
2008
Three-dimensional analytical solution for hybrid multilayered piezoelectric plates. Zbl 1110.74727
Vel, S. S.; Batra, R. C.
2000
Deflection relationships between the homogeneous Kirchhoff plate theory and different functionally graded plate theories. Zbl 0972.74042
Cheng, Z.-Q.; Batra, R. C.
1999
Saint-Venant’s principle for linear elastic porous materials. Zbl 0831.73006
Batra, R. C.; Yang, J. S.
1995
The force on a lattice defect in an elastic body. Zbl 0602.73018
Batra, R. C.
1987
Search algorithm, and simulation of elastodynamic crack propagation by modified smoothed particle hydrodynamics (MSPH) method. Zbl 1178.74178
Batra, R. C.; Zhang, G. M.
2007
Symmetric smoothed particle hydrodynamics (SSPH) method and its application to elastic problems. Zbl 1162.74510
Zhang, G. M.; Batra, R. C.
2009
Elements of continuum mechanics. Zbl 1093.76001
Batra, Romesh C.
2006
Linear constitutive relations in isotropic finite elasticity. Zbl 0928.74017
Batra, R. C.
1998
Determination of effective thermomechanical parameters of a mixture of two elastothermoviscoplastic constituents. Zbl 1176.74033
Love, B. M.; Batra, R. C.
2006
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.
2008
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.
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.
1992
Analysis of electrostatic MEMS using meshless local Petrov-Galerkin (MLPG) method. Zbl 1195.74276
Batra, Romesh C.; Porfiri, Maurizio; Spinello, Davide
2006
Continuum models of multi-walled carbon nanotubes. Zbl 1166.74310
Batra, R. C.; Sears, A.
2007
The generalized plane strain deformations of thick anisotropic composite laminated plates. Zbl 0955.74043
Vel, Senthil S.; Batra, R. C.
2000
Deformation produced by a simple tensile load in an isotropic elastic body. Zbl 0336.73016
Batra, R. C.
1976
Saint-Venant’s principle for a helical spring. Zbl 0386.73008
Batra, R. C.
1978
Finite plane strain deformations of rubberlike materials. Zbl 0432.73072
Batra, R. C.
1980
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.
2000
Generalized Poynting effects in predeformed prismatic bars. Zbl 0918.73032
Dell’Isola, F.; Ruta, G. C.; Batra, R. C.
1998
The vibration of a rectangular laminated elastic plate with embedded piezoelectric sensors and actuators. Zbl 0899.73252
Batra, R. C.; Liang, X. Q.
1997
Exact solutions and material tailoring for functionally graded hollow circular cylinders. Zbl 1304.74017
Nie, G. J.; Batra, R. C.
2010
Adiabatic shear banding in plane strain problems. Zbl 0709.73025
Batra, R. C.; Liu, De-Shin
1989
Analytical solution for the cylindrical bending vibration of piezoelectric composite plates. Zbl 1075.74549
Vel, Senthil S.; Mewer, R. C.; Batra, R. C.
2004
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.
1998
Saint-Venant’s principle for a micropolar helical body. Zbl 0478.73005
Batra, R. C.
1982
Free vibrations of a piezoelectric body. Zbl 0812.73053
Yang, J. S.; Batra, R. C.
1994
Free vibrations of a strain gradient beam by the method of initial values. Zbl 1307.74040
Artan, R.; Batra, R. C.
2012
SSPH basis functions for meshless methods, and comparison of solutions with strong and weak formulations. Zbl 1162.74495
Batra, R. C.; Zhang, G. M.
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.
2018
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.
2001
Finite dynamic deformations of smart structures. Zbl 0898.73053
Batra, R. C.; Liang, X. Q.
1997
Thermodynamics of non-simple elastic materials. Zbl 0352.73007
Batra, R. C.
1976
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.
2004
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.
1998
Simulation of brittle and ductile fracture in an impact loaded prenotched plate. Zbl 1187.74214
Batra, R. C.; Lear, M. H.
2004
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.
2005
Vibrations of cracked Euler-Bernoulli beams using meshless local Petrov-Galerkin (MLPG) method. Zbl 1232.74028
Andreaus, U.; Batra, R. C.; Porfiri, M.
2005
Steady state penetration of thermoviscoplastic targets. Zbl 0626.73130
Batra, R. C.
1988
Generalized plane strain thermoelastic deformation of laminated anisotropic thick plates. Zbl 1010.74036
Vel, Senthil S.; Batra, R. C.
2001
Adiabatic shear bands in axisymmetric impact and penetration problems. Zbl 0906.73020
Batra, R. C.; Stevens, J. B.
1998
Quasistatic indentation of a rubber-covered roll by a rigid roll. Zbl 0468.73095
Batra, R. C.
1981
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.
2008
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.
2005
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.
2016
Energy-momentum tensors in nonsimple elastic dielectrics. Zbl 0876.73059
Huang, Yu-Ning; Batra, R. C.
1996
On the coincidence of the principal axes of stress and strain in isotropic elastic bodies. Zbl 0356.73012
Batra, R. C.
1975
Static deformations of a linear elastic porous body filled with an inviscid fluid. Zbl 1060.74022
Dell’Isola, F.; Sciarra, G.; Batra, R. C.
2003
A thermomechanical theory of solid-fluid mixtures. Zbl 1001.74504
Krishnaswamy, Shankar; Batra, R. C.
1997
Locations of optimal stress points in higher-order elements. Zbl 0921.73236
Oh, Hyung-Seok; Batra, R. C.
1999
Analysis of failure modes in an impact loaded thermoviscoplastic prenotched plate. Zbl 1032.74647
Batra, R. C.; Jaber, N. A.; Malsbury, M. E.
2003
Material tailoring and universal relations for axisymmetric deformations of functionally graded rubberlike cylinders and spheres. Zbl 1269.74020
Batra, R. C.
2011
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.
2006
Treloar’s biaxial tests and Kearsley’s bifurcation in rubber sheets. Zbl 1133.74016
Batra, R. C.; Mueller, Ingo; Strehlow, Peter
2005
An adaptive mesh refinement technique for two-dimensional shear band problems. Zbl 0800.73402
Batra, R. C.; Hwang, J.
1993
Saint-Venant’s principle for a helical piezoelectric body. Zbl 0878.73057
Batra, R. C.; Zhong, X.
1996
Analysis of failure modes in impulsively loaded pre-notched steel plates. Zbl 0900.73604
Batra, R. C.; Nechitailo, N. V.
1997
Application of Zienkiewicz–Zhu’s error estimate with superconvergent patch recovery to hierarchical p-refinement. Zbl 0923.73065
Oh, Hyung-Seok; Batra, R. C.
1999
Saint-Venant’s principle in linear elasticity with microstructure. Zbl 0537.73003
Batra, R. C.
1983
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.
1996
Analytical solution of the contact problem of a rigid indenter and an anisotropic linear elastic layer. Zbl 1381.74162
Batra, R. C.; Jiang, W.
2008
A thermomechanical theory for a porous anisotropic elastic solid with inclusions. Zbl 0563.73008
Passman, Stephen L.; Batra, Romesh C.
1984
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.
2017
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.
2018
Linear constitutive relations in isotropic finite viscoelasticity. Zbl 0976.74013
Batra, R. C.; Yu, Jang-Horng
1999
Analysis of dynamic shear bands in porous thermally softening viscoplastic materials. Zbl 0825.73191
Batra, R. C.; Jin, X. S.
1994
Effect of prior quasi-static loading on the initiation and growth of dynamic adiabatic shear bands. Zbl 0850.73086
1995
Instabilities in biaxially loaded rectangular membranes and spherical balloons made of compressible isotropic hyperelastic materials. Zbl 1076.74020
Batra, R. C.
2005
A theorem in the theory of incompressible Navier-Stokes-Fourier fluids. Zbl 0285.76008
Batra, R. C.
1974
Optimum Young’s modulus of a homogeneous cylinder energetically equivalent to a functionally graded cylinder. Zbl 1263.74006
Dryden, John; Batra, Romesh C.
2013
Saint-Venant’s problem for a second-order piezoelectric prismatic bar. Zbl 1210.74078
Vidoli, S.; Batra, R. C.; Dell’isola, F.
2000
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.
2005
Analysis of rubber-like materials using meshless local Petrov-Galerkin (MLPG) method. Zbl 1241.74038
Batra, R. C.; Porfiri, M.
2008
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.
2009
Adiabatic shear bands in the Taylor impact test for a WHA rod. Zbl 0945.74654
Stevens, J. B.; Batra, R. C.
1998
Dynamic shear band development in dipolar thermoviscoplastic materials. Zbl 0807.73026
Batra, R. C.; Hwang, J.
1994
Development of shear bands during the perforation of a steel plate. Zbl 0844.73072
Batra, R. C.; Peng, Z.
1996
Effective properties of a piezocomposite containing shape memory alloy and inert inclusions. Zbl 1100.74614
Jiang, B.; Batra, R. C.
2002
Adiabatic shear banding in a thick-walled steel tube. Zbl 0921.73135
Batra, R. C.; Rattazzi, D.
1997
Shape control of vibrating simply supported rectangular plates. Zbl 0894.73097
Batra, R. C.; Liang, X. Q.; Yang, J. S.
1996
Cold sheet rolling, the thermoviscoelastic problem, a numerical solution. Zbl 0354.73041
Batra, R. C.
1977
Shear bands due to heat flux prescribed at boundaries. Zbl 1087.74016
Batra, R. C.; Wei, Z. G.
2006
Additional universal relations for transversely isotropic elastic materials. Zbl 1059.74012
Saccomandi, Giuseppe; Batra, R. C.
2004
A comparison of solutions for adiabatic shear banding by forward- difference and Crank-Nicolson methods. Zbl 0655.73042
Batra, R. C.; Wright, T. W.
1988
An immersed boundary formulation for simulating high-speed compressible viscous flows with moving solids. Zbl 1380.76084
Qu, Yegao; Shi, Ruchao; Batra, Romesh C.
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.
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.
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.
2016
Optimum Young’s modulus of a homogeneous cylinder energetically equivalent to a functionally graded cylinder. Zbl 1263.74006
Dryden, John; Batra, Romesh C.
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.
2013
Free vibrations of a strain gradient beam by the method of initial values. Zbl 1307.74040
Artan, R.; Batra, R. C.
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.
2012
Material tailoring and universal relations for axisymmetric deformations of functionally graded rubberlike cylinders and spheres. Zbl 1269.74020
Batra, R. C.
2011
Exact solutions and material tailoring for functionally graded hollow circular cylinders. Zbl 1304.74017
Nie, G. J.; Batra, R. C.
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.
2010
Symmetric smoothed particle hydrodynamics (SSPH) method and its application to elastic problems. Zbl 1162.74510
Zhang, G. M.; Batra, R. C.
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.
2009
Local slamming impact of sandwich composite hulls. Zbl 1215.74018
Qin, Z.; Batra, R. C.
2009
Constitutive equations for thermomechanical deformations of glassy polymers. Zbl 1183.74010
Varghese, A. G.; Batra, R. C.
2009
Reduced-order models for microelectromechanical rectangular and circular plates incorporating the Casimir force. Zbl 1169.74469
Batra, R. C.; Porfiri, M.; Spinello, D.
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.
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.
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.
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.
2008
Analysis of rubber-like materials using meshless local Petrov-Galerkin (MLPG) method. Zbl 1241.74038
Batra, R. C.; Porfiri, M.
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.
2007
Wave propagation in functionally graded materials by modified smoothed particle hydrodynamics (MSPH) method. Zbl 1108.74032
Zhang, G. M.; Batra, R. C.
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.
2007
Continuum models of multi-walled carbon nanotubes. Zbl 1166.74310
Batra, R. C.; Sears, A.
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.
2007
Elements of continuum mechanics. Zbl 1093.76001
Batra, Romesh C.
2006
Determination of effective thermomechanical parameters of a mixture of two elastothermoviscoplastic constituents. Zbl 1176.74033
Love, B. M.; Batra, R. C.
2006
Analysis of electrostatic MEMS using meshless local Petrov-Galerkin (MLPG) method. Zbl 1195.74276
Batra, Romesh C.; Porfiri, Maurizio; Spinello, Davide
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.
2006
Shear bands due to heat flux prescribed at boundaries. Zbl 1087.74016
Batra, R. C.; Wei, Z. G.
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.
2005
Second-order solution of Saint-Venant’s problem for an elastic bar predeformed in flexure. Zbl 1349.74218
Batra, R. C.; Dell&rsquo;Isola, F.; Ruta, G. C.
2005
Vibrations of cracked Euler-Bernoulli beams using meshless local Petrov-Galerkin (MLPG) method. Zbl 1232.74028
Andreaus, U.; Batra, R. C.; Porfiri, M.
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.
2005
Treloar’s biaxial tests and Kearsley’s bifurcation in rubber sheets. Zbl 1133.74016
Batra, R. C.; Mueller, Ingo; Strehlow, Peter
2005
Instabilities in biaxially loaded rectangular membranes and spherical balloons made of compressible isotropic hyperelastic materials. Zbl 1076.74020
Batra, R. C.
2005
Multimode vibration suppression with passive two-terminal distributed network incorporating piezoceramic transducers. Zbl 1121.74033
Batra, R. C.; dell&rsquo;Isola, F.; Vidoli, S.; Vigilante, D.
2005
Modified smoothed particle hydrodynamics method and its application to transient problems. Zbl 1138.74422
Zhang, G. M.; Batra, R. C.
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.
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.
2004
Analytical solution for the cylindrical bending vibration of piezoelectric composite plates. Zbl 1075.74549
Vel, Senthil S.; Mewer, R. C.; Batra, R. C.
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.
2004
Simulation of brittle and ductile fracture in an impact loaded prenotched plate. Zbl 1187.74214
Batra, R. C.; Lear, M. H.
2004
Additional universal relations for transversely isotropic elastic materials. Zbl 1059.74012
Saccomandi, Giuseppe; Batra, R. C.
2004
Three-dimensional analysis of transient thermal stresses in functionally graded plates. Zbl 1076.74037
Vel, Senthil S.; Batra, R. C.
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.
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.
2003
Static deformations of a linear elastic porous body filled with an inviscid fluid. Zbl 1060.74022
Dell&rsquo;Isola, F.; Sciarra, G.; Batra, R. C.
2003
Analysis of failure modes in an impact loaded thermoviscoplastic prenotched plate. Zbl 1032.74647
Batra, R. C.; Jaber, N. A.; Malsbury, M. E.
2003
Exact thermoelasticity solution for cylindrical bending deformations of functionally graded plates. Zbl 1329.74073
Vel, Senthil S.; Batra, R. C.
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.
2002
Effective properties of a piezocomposite containing shape memory alloy and inert inclusions. Zbl 1100.74614
Jiang, B.; Batra, R. C.
2002
Universal relations for transversely isotropic elastic materials. Zbl 1045.74012
Batra, R. C.
2002
Comparison of results from four linear constitutive relations in isotropic finite elasticity. Zbl 1345.74008
Batra, R. C.
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.
2001
Generalized plane strain thermoelastic deformation of laminated anisotropic thick plates. Zbl 1010.74036
Vel, Senthil S.; Batra, R. C.
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.
2001
Exact correspondence between eigenvalues of membranes and functionally graded simply supported polygonal plates. Zbl 1235.74209
Cheng, Z.-Q.; Batra, R. C.
2000
Three-dimensional analytical solution for hybrid multilayered piezoelectric plates. Zbl 1110.74727
Vel, S. S.; Batra, R. C.
2000
The generalized plane strain deformations of thick anisotropic composite laminated plates. Zbl 0955.74043
Vel, Senthil S.; Batra, R. C.
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.
2000
Saint-Venant’s problem for a second-order piezoelectric prismatic bar. Zbl 1210.74078
Vidoli, S.; Batra, R. C.; Dell&rsquo;isola, F.
2000
Torsion of a viscoelastic cylinder. Zbl 1110.74334
Batra, R. C.; Yu, J. H.
2000
Deflection relationships between the homogeneous Kirchhoff plate theory and different functionally graded plate theories. Zbl 0972.74042
Cheng, Z.-Q.; Batra, R. C.
1999
Locations of optimal stress points in higher-order elements. Zbl 0921.73236
Oh, Hyung-Seok; Batra, R. C.
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.
1999
Linear constitutive relations in isotropic finite viscoelasticity. Zbl 0976.74013
Batra, R. C.; Yu, Jang-Horng
1999
Effect of material paramters on shear band spacing in work-hardening gradient-dependent thermoviscoplastic materials. Zbl 1043.74505
Chen, L.; Batra, R. C.
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.
1999
The asymptotic structure of a shear band in mode-II deformations. Zbl 1210.74053
Chen, L.; Batra, R. C.
1999
Linear constitutive relations in isotropic finite elasticity. Zbl 0928.74017
Batra, R. C.
1998
Generalized Poynting effects in predeformed prismatic bars. Zbl 0918.73032
Dell&rsquo;Isola, F.; Ruta, G. C.; Batra, R. C.
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&rsquo;Isola, F.; Vidoli, S.
1998
A second-order solution of Saint-Venant’s problem for an elastic pretwisted bar using Signorini’s perturbation method. Zbl 0907.73012
dell&rsquo;Isola, F.; Ruta, G. C.; Batra, R. C.
1998
Adiabatic shear bands in axisymmetric impact and penetration problems. Zbl 0906.73020
Batra, R. C.; Stevens, J. B.
1998
Adiabatic shear bands in the Taylor impact test for a WHA rod. Zbl 0945.74654
Stevens, J. B.; Batra, R. C.
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.
1998
Saint-Venant’s problem for porous linear elastic materials. Zbl 0891.73011
Dell&rsquo;Isola, Francesco; Batra, R. C.
1997
The vibration of a rectangular laminated elastic plate with embedded piezoelectric sensors and actuators. Zbl 0899.73252
Batra, R. C.; Liang, X. Q.
1997
Finite dynamic deformations of smart structures. Zbl 0898.73053
Batra, R. C.; Liang, X. Q.
1997
A thermomechanical theory of solid-fluid mixtures. Zbl 1001.74504
Krishnaswamy, Shankar; Batra, R. C.
1997
Analysis of failure modes in impulsively loaded pre-notched steel plates. Zbl 0900.73604
Batra, R. C.; Nechitailo, N. V.
1997
Adiabatic shear banding in a thick-walled steel tube. Zbl 0921.73135
Batra, R. C.; Rattazzi, D.
1997
Interface cracking between functionally graded coatings and substrate under antiplanar shear. Zbl 0900.73602
Jin, Z.-H.; Batra, R. C.
1996
Energy-momentum tensors in nonsimple elastic dielectrics. Zbl 0876.73059
Huang, Yu-Ning; Batra, R. C.
1996
Saint-Venant’s principle for a helical piezoelectric body. Zbl 0878.73057
Batra, R. C.; Zhong, X.
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.
1996
Development of shear bands during the perforation of a steel plate. Zbl 0844.73072
Batra, R. C.; Peng, Z.
1996
Shape control of vibrating simply supported rectangular plates. Zbl 0894.73097
Batra, R. C.; Liang, X. Q.; Yang, J. S.
1996
Modeling of macroscopic response of phase transforming materials under quasi-static loading. Zbl 0890.73007
Zhong, Xiaoguang; Batra, R. C.
1996
Saint-Venant’s principle in linear piezoelectricity. Zbl 0828.73061
Batra, R. C.; Yang, J. S.
1995
Mixed variational principles in nonlinear electroelasticity. Zbl 0860.73060
Yang, J. S.; Batra, R. C.
1995
Saint-Venant’s principle for linear elastic porous materials. Zbl 0831.73006
Batra, R. C.; Yang, J. S.
1995
Effect of prior quasi-static loading on the initiation and growth of dynamic adiabatic shear bands. Zbl 0850.73086
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.
1995
Toughening due to transformations induced by a crack tip stress field in ferroelastic materials. Zbl 0919.73221
Ru, C. Q.; Batra, R. C.
1995
Free vibrations of a piezoelectric body. Zbl 0812.73053
Yang, J. S.; Batra, R. C.
1994
Analysis of dynamic shear bands in porous thermally softening viscoplastic materials. Zbl 0825.73191
Batra, R. C.; Jin, X. S.
1994
Dynamic shear band development in dipolar thermoviscoplastic materials. Zbl 0807.73026
Batra, R. C.; Hwang, J.
1994
...and 31 more Documents
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#### Cited in 102 Serials

 55 Acta Mechanica 45 Engineering Analysis with Boundary Elements 43 Mathematics and Mechanics of Solids 43 European Journal of Mechanics. A. Solids 39 Computer Methods in Applied Mechanics and Engineering 38 Applied Mathematical Modelling 33 International Journal of Engineering Science 29 Journal of Elasticity 27 Computational Mechanics 20 Meccanica 17 International Journal for Numerical Methods in Engineering 17 Continuum Mechanics and Thermodynamics 14 International Journal of Solids and Structures 13 Archive of Applied Mechanics 12 Journal of Computational Physics 11 Applied Mathematics and Computation 11 International Journal of Computational Methods 10 Computers and Fluids 10 Journal of the Mechanics and Physics of Solids 8 Journal of Engineering Mathematics 8 Journal of Mathematical Analysis and Applications 8 Mathematical Problems in Engineering 7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Archive for Rational Mechanics and Analysis 5 International Journal of Plasticity 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Applied Mathematics and Mechanics. (English Edition) 5 Communications in Numerical Methods in Engineering 5 Engineering Computations 5 AMM. Applied Mathematics and Mechanics. (English Edition) 4 Computers & Mathematics with Applications 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 Wave Motion 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 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 International Journal of Computer Mathematics 2 Computational and Applied Mathematics 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 1 Applicable Analysis 1 Computer Physics Communications 1 International Journal of Heat and Mass Transfer 1 International Journal for Numerical Methods in Fluids 1 International Journal of Theoretical Physics 1 Journal of Applied Mathematics and Mechanics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Bulletin of Mathematical Biology 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 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 Nonlinear Analysis. Real World Applications 1 Mathematical Modelling and Analysis 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 Chebyshevskiĭ Sbornik 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 International Journal of Differential Equations 1 Symmetry 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Arabian Journal for Science and Engineering 1 ISRN Applied Mathematics 1 Journal of Theoretical Biology 1 East Asian Journal on Applied Mathematics 1 International Journal of Applied and Computational Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences ...and 2 more Serials
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#### Cited in 26 Fields

 589 Mechanics of deformable solids (74-XX) 102 Numerical analysis (65-XX) 73 Fluid mechanics (76-XX) 52 Partial differential equations (35-XX) 31 Classical thermodynamics, heat transfer (80-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 13 Statistical mechanics, structure of matter (82-XX) 11 Biology and other natural sciences (92-XX) 10 Optics, electromagnetic theory (78-XX) 4 Ordinary differential equations (34-XX) 4 Operator theory (47-XX) 4 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 2 Statistics (62-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

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