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## Bhattacharya, Kaushik

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 Author ID: bhattacharya.kaushik Published as: Bhattacharya, Kaushik; Bhattacharya, K. Homepage: https://eas.caltech.edu/people/bhatta External Links: MGP · ORCID · Google Scholar
 Documents Indexed: 63 Publications since 1991, including 1 Book
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#### Co-Authors

 7 single-authored 9 Ortiz, Michael 4 Dondl, Patrick Werner 3 Kohn, Robert Vita 3 Ravichandran, Guruswami 3 Suryanarayana, Phanish 2 Blesgen, Thomas 2 Chenchiah, Isaac Vikram 2 deBotton, Gal 2 Dolzmann, Georg 2 Gavini, Vikram 2 Gavinia, Vikram 2 Givli, Sefi 2 James, Richard D. 2 Knap, Jaroslaw 2 Liu, Liping 2 Plucinsky, Paul 2 Purohit, Prashant K. 2 Schlömerkemper, Anja 2 Shilo, Doron 2 Simha, N. K. 2 Warner, Mark R. E. 1 Abeyaratne, Rohan C. 1 Biggins, J. S. 1 Bourdin, Blaise 1 Brach, Stella 1 Braides, Andrea 1 Burcsu, E. 1 Cesana, Pierluigi 1 Courte, Luca 1 Cracium, Bogdan 1 Craciun, Bogdan 1 Dayal, Kaushik 1 Firoozye, Nikan B. 1 Fonseca, Irene 1 Francfort, Gilles A. 1 Giang, Ha Huong 1 Hosseini, Bamdad 1 Hulikal, Srivatsan 1 Ioffe, Dmitry 1 Jabbour, Michel E. 1 Knowles, James K. 1 Kovachki, Nikola B. 1 Kozlov, Sergeĭ Mikhaĭlovich 1 Kukta, R. V. 1 Lapusta, Nadia 1 Lemm, Marius 1 Lewicka, Marta 1 Li, Bo 1 Luckhaus, Stephan 1 Luskin, Mitchell 1 Modes, C. D. 1 Otto, Felix 1 Rudykh, Stephan 1 Schäffner, Mathias 1 Shen, Ching-Ping 1 Stuart, Andrew M. 1 Suquet, Pierre-Marie 1 Tan, Likun 1 Tanné, Erwan 1 Tevet-Deree, L. 1 Tian, Li-Xiu 1 Wang, Xin-Cindy 1 Xiao, Yu 1 Yavari, Arash 1 Zhang, Rongjing
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#### Serials

 16 Journal of the Mechanics and Physics of Solids 12 Archive for Rational Mechanics and Analysis 7 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 International Journal of Solids and Structures 3 Journal of Elasticity 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Interfaces and Free Boundaries 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Applied Mechanics 1 Journal of Computational Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 International Journal for Numerical Methods in Engineering 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Journal on Applied Mathematics 1 Continuum Mechanics and Thermodynamics 1 Oberwolfach Reports 1 Acta Mechanica Sinica 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SMAI Journal of Computational Mathematics
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#### Fields

 55 Mechanics of deformable solids (74-XX) 11 Partial differential equations (35-XX) 11 Statistical mechanics, structure of matter (82-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 3 Numerical analysis (65-XX) 3 Quantum theory (81-XX) 2 Real functions (26-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Statistics (62-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

59 Publications have been cited 716 times in 558 Documents Cited by Year
Microstructure of martensite. Why it forms and how give rise to the shape-memory effect. Zbl 1109.74002
Bhattacharya, Kaushik
2003
A theory of thin films of martensitic materials with applications to microactuators. Zbl 0960.74046
Bhattacharya, K.; James, R. D.
1999
Comparison of the geometrically nonlinear and linear theories of martensitic transformation. Zbl 0780.73005
Bhattacharya, K.
1993
Restrictions on microstructure. Zbl 0808.73063
Bhattacharya, Kaushik; Firoozye, Nikan B.; James, Richard D.; Kohn, Robert V.
1994
Kinetics of phase transformations in the peridynamic formulation of continuum mechanics. Zbl 1120.74690
Dayal, Kaushik; Bhattacharya, Kaushik
2006
Self-accommodation in martensite. Zbl 0771.73007
Bhattacharya, Kaushik
1992
Elastic energy minimization and the recoverable strains of polycrystalline shape-memory materials. Zbl 0894.73225
Bhattacharya, Kaushik; Kohn, Robert V.
1997
Non-periodic finite-element formulation of Kohn-Sham density functional theory. Zbl 1193.81006
Suryanarayana, Phanish; Gavini, Vikram; Blesgen, Thomas; Bhattacharya, Kaushik; Ortiz, Michael
2010
Dielectric elastomer composites. Zbl 1244.74014
Tian, Li-Xiu; Tevet-Deree, L.; Debotton, Gal; Bhattacharya, Kaushik
2012
Plates with incompatible prestrain. Zbl 1382.74081
Bhattacharya, Kaushik; Lewicka, Marta; Schäffner, Mathias
2016
Strain-energy functions with multiple local minima: Modeling phase transformations using finite thermoelasticity. Zbl 0993.74047
Abeyaratne, R.; Bhattacharya, K.; Knowles, J. K.
2001
Kinetics of phase boundaries with edges and junctions. Zbl 1017.74051
Simha, N. K.; Bhattacharya, K.
1998
The simply laminated microstructure in martensitic crystals that undergo a cubic-to-orthorhombic phase transformation. Zbl 0942.74056
Bhattacharya, Kaushik; Li, Bo; Luskin, Mitchell
1999
A model problem concerning recoverable strains of shape-memory polycrystals. Zbl 1186.74028
Bhattacharya, K.; Suquet, P. M.
2005
Quasi-continuum orbital-free density-functional theory: a route to multi-million atom non-periodic DFT calculation. Zbl 1162.74314
Gavinia, Vikram; Bhattacharya, Kaushik; Ortiz, Michael
2007
Phase boundary propagation in a heterogeneous body. Zbl 0990.74047
Bhattacharya, Kaushik
1999
Gaussian curvature from flat elastica sheets. Zbl 1219.74026
Modes, C. D.; Bhattacharya, K.; Warner, M.
2011
Relaxation of some multi-well problems. Zbl 0977.74029
Bhattacharya, Kaushik; Dolzmann, Georg
2001
Non-periodic finite-element formulation of orbital-free density functional theory. Zbl 1162.74461
Gavinia, Vikram; Knap, Jaroslaw; Bhattacharya, Kaushik; Ortiz, Michael
2007
Kinetics of phase boundaries with edges and junctions in a three-dimensional multi-phase body. Zbl 1005.74049
Simha, N. K.; Bhattacharya, K.
2000
The relaxation of two-well energies with possibly unequal moduli. Zbl 1134.74042
Chenchiah, Isaac V.; Bhattacharya, Kaushik
2008
Relaxed constitutive relations for phase transforming materials. Zbl 0966.74053
Bhattacharya, Kaushik; Dolzmann, Georg
2000
An asymptotic study of the debonding of thin films. Zbl 0999.74079
Bhattacharya, Kaushik; Fonseca, Irene; Francfort, Gilles
2002
Dynamics of strings made of phase-transforming materials. Zbl 1020.74020
Purohit, Prashant K.; Bhattacharya, Kaushik
2003
Energy-based model of compressive splitting in heterogeneous brittle solids. Zbl 0968.74056
Bhattacharya, K.; Ortiz, M.; Ravichandran, G.
1998
Multiscale instabilities in soft heterogeneous dielectric elastomers. Zbl 1348.74114
Rudykh, S.; Bhattacharya, K.; deBotton, G.
2014
A micromechanical model of surface steps. Zbl 1116.74323
Kukta, R. V.; Bhattacharya, K.
2002
Effective motion of a curvature-sensitive interface through a heterogeneous medium. Zbl 1061.35148
Craciun, Bogdan; Bhattacharya, Kaushik
2004
A theory of anharmonic lattice statics for analysis of defective crystals. Zbl 1104.74018
Yavari, Arash; Ortiz, Michael; Bhattacharya, Kaushik
2007
Effective behavior of nematic elastomer membranes. Zbl 1457.35078
Cesana, Pierluigi; Plucinsky, Paul; Bhattacharya, Kaushik
2015
Homogenization of a Hamilton-Jacobi equation associated with the geometric motion of an interface. Zbl 1043.35028
Cracium, Bogdan; Bhattacharya, Kaushik
2003
A continuum theory of deformable, semiconducting ferroelectrics. Zbl 1140.74012
Xiao, Yu; Bhattacharya, Kaushik
2008
A mesh-free convex approximation scheme for Kohn-sham density functional theory. Zbl 1219.65058
Suryanarayana, Phanish; Bhattacharya, Kaushik; Ortiz, Michael
2011
Stability of multicomponent biological membranes. Zbl 1322.74040
Givli, Sefi; Giang, Ha; Bhattacharya, Kaushik
2012
Examples of nonlinear homogenization involving degenerate energies. I. Plane strain. Zbl 1370.74129
Chenchiah, Isaac V.; Bhattacharya, Kaushik
2005
Effective behavior of an interface propagating through a periodic elastic medium. Zbl 1342.35027
Dondl, Patrick W.; Bhattacharya, Kaushik
2016
Thin films with many small cracks. Zbl 1011.74042
Bhattacharya, Kaushik; Braides, Andrea
2002
On beams made of a phase-transforming material. Zbl 1019.74022
Purohit, Prashant K.; Bhattacharya, Kaushik
2002
The microstructure of martensite and its implications for the shape- memory effect. Zbl 0813.73056
Bhattacharya, Kaushik
1993
A continuum theory of multispecies thin solid film growth by chemical vapor deposition. Zbl 1079.74044
Jabbour, Michel E.; Bhattacharya, Kaushik
2003
A model for large electrostrictive actuation in ferroelectric single crystals. Zbl 1108.74018
Shilo, D.; Burcsu, E.; Ravichandran, G.; Bhattacharya, K.
2007
Wave propagation in a sandwich structure. Zbl 1167.74457
Liu, Liping; Bhattacharya, Kaushik
2009
A coarse-grained model of the myofibril: Overall dynamics and the evolution of sarcomere non-uniformities. Zbl 1173.74026
Givli, Sefi; Bhattacharya, Kaushik
2009
Stress-induced phase transformations in shape-memory polycrystals. Zbl 1304.74049
Bhattacharya, Kaushik; Schlömerkemper, Anja
2010
Elasticity of polydomain liquid crystal elastomers. Zbl 1244.74011
Biggins, J. S.; Warner, Mark; Bhattacharya, Kaushik
2012
Coarse-graining Kohn-Sham density functional theory. Zbl 1258.81090
Suryanarayana, Phanish; Bhattacharya, Kaushik; Ortiz, Michael
2013
Actuation of thin nematic elastomer sheets with controlled heterogeneity. Zbl 1384.35126
Plucinsky, Paul; Lemm, Marius; Bhattacharya, Kaushik
2018
Some examples of nonlinear homogenization involving nearly degenerate energies. Zbl 0926.74099
Bhattacharya, Kaushik; Kohn, Robert V.; Kozlov, S.
1999
Korn’s inequality for sequences. Zbl 0735.73010
Bhattacharya, Kaushik
1991
A sharp interface model for the propagation of martensitic phase boundaries. Zbl 1261.74025
Dondl, Patrick W.; Bhattacharya, Kaushik
2010
Computational analysis of martensitic thin films using subdivision surfaces. Zbl 1194.74183
Dondl, Patrick W.; Shen, Ching-Ping; Bhattacharya, Kaushik
2007
Existence of surface waves and band gaps in periodic heterogeneous half-spaces. Zbl 1328.74053
Hu, L. X.; Liu, L. P.; Bhattacharya, K.
2012
Phase-field study of crack nucleation and propagation in elastic-perfectly plastic bodies. Zbl 1441.74201
Brach, Stella; Tanné, Erwan; Bourdin, Blaise; Bhattacharya, Kaushik
2019
Bounds on precipitate hardening of line and surface defects in solids. Zbl 1440.35323
Courte, Luca; Bhattacharya, Kaushik; Dondl, Patrick
2020
Mechanical characterization of released thin films by contact loading. Zbl 1111.74740
Zhang, Rongjing; Shilo, Doron; Ravichandran, Guruswami; Bhattacharya, Kaushik
2006
Corrigendum to “Non-periodic finite-element formulation of orbital-free density functional theory” [Journal of the Mechanics and Physics of Solids 55, 669-696 (2007; Zbl 1162.74461)]. Zbl 1225.74088
Gavini, Vikram; Knap, Jaroslaw; Bhattacharya, Kaushik; Ortiz, Michael
2010
Length scales and pinning of interfaces. Zbl 1353.82057
Tan, Likun; Bhattacharya, Kaushik
2016
On the Sachs bound in stress-induced phase transformations in polycrystalline scalar shape-memory alloys. Zbl 1393.74023
Schlömerkemper, Anja; Bhattacharya, Kaushik
2008
Model reduction and neural networks for parametric PDEs. Zbl 07388500
Bhattacharya, Kaushik; Hosseini, Bamdad; Kovachki, Nikola B.; Stuart, Andrew M.
2021
Model reduction and neural networks for parametric PDEs. Zbl 07388500
Bhattacharya, Kaushik; Hosseini, Bamdad; Kovachki, Nikola B.; Stuart, Andrew M.
2021
Bounds on precipitate hardening of line and surface defects in solids. Zbl 1440.35323
Courte, Luca; Bhattacharya, Kaushik; Dondl, Patrick
2020
Phase-field study of crack nucleation and propagation in elastic-perfectly plastic bodies. Zbl 1441.74201
Brach, Stella; Tanné, Erwan; Bourdin, Blaise; Bhattacharya, Kaushik
2019
Actuation of thin nematic elastomer sheets with controlled heterogeneity. Zbl 1384.35126
Plucinsky, Paul; Lemm, Marius; Bhattacharya, Kaushik
2018
Plates with incompatible prestrain. Zbl 1382.74081
Bhattacharya, Kaushik; Lewicka, Marta; Schäffner, Mathias
2016
Effective behavior of an interface propagating through a periodic elastic medium. Zbl 1342.35027
Dondl, Patrick W.; Bhattacharya, Kaushik
2016
Length scales and pinning of interfaces. Zbl 1353.82057
Tan, Likun; Bhattacharya, Kaushik
2016
Effective behavior of nematic elastomer membranes. Zbl 1457.35078
Cesana, Pierluigi; Plucinsky, Paul; Bhattacharya, Kaushik
2015
Multiscale instabilities in soft heterogeneous dielectric elastomers. Zbl 1348.74114
Rudykh, S.; Bhattacharya, K.; deBotton, G.
2014
Coarse-graining Kohn-Sham density functional theory. Zbl 1258.81090
Suryanarayana, Phanish; Bhattacharya, Kaushik; Ortiz, Michael
2013
Dielectric elastomer composites. Zbl 1244.74014
Tian, Li-Xiu; Tevet-Deree, L.; Debotton, Gal; Bhattacharya, Kaushik
2012
Stability of multicomponent biological membranes. Zbl 1322.74040
Givli, Sefi; Giang, Ha; Bhattacharya, Kaushik
2012
Elasticity of polydomain liquid crystal elastomers. Zbl 1244.74011
Biggins, J. S.; Warner, Mark; Bhattacharya, Kaushik
2012
Existence of surface waves and band gaps in periodic heterogeneous half-spaces. Zbl 1328.74053
Hu, L. X.; Liu, L. P.; Bhattacharya, K.
2012
Gaussian curvature from flat elastica sheets. Zbl 1219.74026
Modes, C. D.; Bhattacharya, K.; Warner, M.
2011
A mesh-free convex approximation scheme for Kohn-sham density functional theory. Zbl 1219.65058
Suryanarayana, Phanish; Bhattacharya, Kaushik; Ortiz, Michael
2011
Non-periodic finite-element formulation of Kohn-Sham density functional theory. Zbl 1193.81006
Suryanarayana, Phanish; Gavini, Vikram; Blesgen, Thomas; Bhattacharya, Kaushik; Ortiz, Michael
2010
Stress-induced phase transformations in shape-memory polycrystals. Zbl 1304.74049
Bhattacharya, Kaushik; Schlömerkemper, Anja
2010
A sharp interface model for the propagation of martensitic phase boundaries. Zbl 1261.74025
Dondl, Patrick W.; Bhattacharya, Kaushik
2010
Corrigendum to “Non-periodic finite-element formulation of orbital-free density functional theory” [Journal of the Mechanics and Physics of Solids 55, 669-696 (2007; Zbl 1162.74461)]. Zbl 1225.74088
Gavini, Vikram; Knap, Jaroslaw; Bhattacharya, Kaushik; Ortiz, Michael
2010
Wave propagation in a sandwich structure. Zbl 1167.74457
Liu, Liping; Bhattacharya, Kaushik
2009
A coarse-grained model of the myofibril: Overall dynamics and the evolution of sarcomere non-uniformities. Zbl 1173.74026
Givli, Sefi; Bhattacharya, Kaushik
2009
The relaxation of two-well energies with possibly unequal moduli. Zbl 1134.74042
Chenchiah, Isaac V.; Bhattacharya, Kaushik
2008
A continuum theory of deformable, semiconducting ferroelectrics. Zbl 1140.74012
Xiao, Yu; Bhattacharya, Kaushik
2008
On the Sachs bound in stress-induced phase transformations in polycrystalline scalar shape-memory alloys. Zbl 1393.74023
Schlömerkemper, Anja; Bhattacharya, Kaushik
2008
Quasi-continuum orbital-free density-functional theory: a route to multi-million atom non-periodic DFT calculation. Zbl 1162.74314
Gavinia, Vikram; Bhattacharya, Kaushik; Ortiz, Michael
2007
Non-periodic finite-element formulation of orbital-free density functional theory. Zbl 1162.74461
Gavinia, Vikram; Knap, Jaroslaw; Bhattacharya, Kaushik; Ortiz, Michael
2007
A theory of anharmonic lattice statics for analysis of defective crystals. Zbl 1104.74018
Yavari, Arash; Ortiz, Michael; Bhattacharya, Kaushik
2007
A model for large electrostrictive actuation in ferroelectric single crystals. Zbl 1108.74018
Shilo, D.; Burcsu, E.; Ravichandran, G.; Bhattacharya, K.
2007
Computational analysis of martensitic thin films using subdivision surfaces. Zbl 1194.74183
Dondl, Patrick W.; Shen, Ching-Ping; Bhattacharya, Kaushik
2007
Kinetics of phase transformations in the peridynamic formulation of continuum mechanics. Zbl 1120.74690
Dayal, Kaushik; Bhattacharya, Kaushik
2006
Mechanical characterization of released thin films by contact loading. Zbl 1111.74740
Zhang, Rongjing; Shilo, Doron; Ravichandran, Guruswami; Bhattacharya, Kaushik
2006
A model problem concerning recoverable strains of shape-memory polycrystals. Zbl 1186.74028
Bhattacharya, K.; Suquet, P. M.
2005
Examples of nonlinear homogenization involving degenerate energies. I. Plane strain. Zbl 1370.74129
Chenchiah, Isaac V.; Bhattacharya, Kaushik
2005
Effective motion of a curvature-sensitive interface through a heterogeneous medium. Zbl 1061.35148
Craciun, Bogdan; Bhattacharya, Kaushik
2004
Microstructure of martensite. Why it forms and how give rise to the shape-memory effect. Zbl 1109.74002
Bhattacharya, Kaushik
2003
Dynamics of strings made of phase-transforming materials. Zbl 1020.74020
Purohit, Prashant K.; Bhattacharya, Kaushik
2003
Homogenization of a Hamilton-Jacobi equation associated with the geometric motion of an interface. Zbl 1043.35028
Cracium, Bogdan; Bhattacharya, Kaushik
2003
A continuum theory of multispecies thin solid film growth by chemical vapor deposition. Zbl 1079.74044
Jabbour, Michel E.; Bhattacharya, Kaushik
2003
An asymptotic study of the debonding of thin films. Zbl 0999.74079
Bhattacharya, Kaushik; Fonseca, Irene; Francfort, Gilles
2002
A micromechanical model of surface steps. Zbl 1116.74323
Kukta, R. V.; Bhattacharya, K.
2002
Thin films with many small cracks. Zbl 1011.74042
Bhattacharya, Kaushik; Braides, Andrea
2002
On beams made of a phase-transforming material. Zbl 1019.74022
Purohit, Prashant K.; Bhattacharya, Kaushik
2002
Strain-energy functions with multiple local minima: Modeling phase transformations using finite thermoelasticity. Zbl 0993.74047
Abeyaratne, R.; Bhattacharya, K.; Knowles, J. K.
2001
Relaxation of some multi-well problems. Zbl 0977.74029
Bhattacharya, Kaushik; Dolzmann, Georg
2001
Kinetics of phase boundaries with edges and junctions in a three-dimensional multi-phase body. Zbl 1005.74049
Simha, N. K.; Bhattacharya, K.
2000
Relaxed constitutive relations for phase transforming materials. Zbl 0966.74053
Bhattacharya, Kaushik; Dolzmann, Georg
2000
A theory of thin films of martensitic materials with applications to microactuators. Zbl 0960.74046
Bhattacharya, K.; James, R. D.
1999
The simply laminated microstructure in martensitic crystals that undergo a cubic-to-orthorhombic phase transformation. Zbl 0942.74056
Bhattacharya, Kaushik; Li, Bo; Luskin, Mitchell
1999
Phase boundary propagation in a heterogeneous body. Zbl 0990.74047
Bhattacharya, Kaushik
1999
Some examples of nonlinear homogenization involving nearly degenerate energies. Zbl 0926.74099
Bhattacharya, Kaushik; Kohn, Robert V.; Kozlov, S.
1999
Kinetics of phase boundaries with edges and junctions. Zbl 1017.74051
Simha, N. K.; Bhattacharya, K.
1998
Energy-based model of compressive splitting in heterogeneous brittle solids. Zbl 0968.74056
Bhattacharya, K.; Ortiz, M.; Ravichandran, G.
1998
Elastic energy minimization and the recoverable strains of polycrystalline shape-memory materials. Zbl 0894.73225
Bhattacharya, Kaushik; Kohn, Robert V.
1997
Restrictions on microstructure. Zbl 0808.73063
Bhattacharya, Kaushik; Firoozye, Nikan B.; James, Richard D.; Kohn, Robert V.
1994
Comparison of the geometrically nonlinear and linear theories of martensitic transformation. Zbl 0780.73005
Bhattacharya, K.
1993
The microstructure of martensite and its implications for the shape- memory effect. Zbl 0813.73056
Bhattacharya, Kaushik
1993
Self-accommodation in martensite. Zbl 0771.73007
Bhattacharya, Kaushik
1992
Korn’s inequality for sequences. Zbl 0735.73010
Bhattacharya, Kaushik
1991
all top 5

#### Cited by 744 Authors

 22 Bhattacharya, Kaushik 19 Conti, Sergio 13 Steinmann, Paul 12 James, Richard D. 12 Javili, Ali 10 Kružík, Martin 10 Luskin, Mitchell 10 Ortiz, Michael 10 Zhang, Kewei 9 Dolzmann, Georg 8 Müller, Stefan 8 Ponte Castañeda, Pedro 7 Bělík, Pavel 7 Dondl, Patrick Werner 7 Gavini, Vikram 7 Stupkiewicz, Stanisław 6 Della Porta, Francesco 6 Grabovsky, Yury 6 Hackl, Klaus 6 Lewicka, Marta 6 Rüland, Angkana 6 Zhou, Aihui 6 Zwicknagl, Barbara Maria 5 Babadjian, Jean-François 5 Chenchiah, Isaac Vikram 5 Friesecke, Gero 5 Heinen, Rainer 5 Lipton, Robert P. 5 Peigney, Michaël 5 Petryk, Henryk 5 Roubíček, Tomáš 5 Schlömerkemper, Anja 5 Truskinovsky, Lev 4 Acharya, Amit 4 Ball, John M. 4 Bartel, Thorsten 4 Blesgen, Thomas 4 Cesana, Pierluigi 4 Chen, Huajie 4 Dayal, Kaushik 4 deBotton, Gal 4 DeSimone, Antonio 4 Dhote, R. P. 4 Fonseca, Irene 4 Hu, Guanghui 4 Kohn, Robert Vita 4 Melnik, R. N. V. 4 Menzel, Andreas M. 4 Miehe, Christian 4 Neff, Patrizio 4 Ortner, Christoph 4 Pedregal, Pablo 4 Sfyris, Dimitris 4 Simha, N. K. 4 Zillinger, Christian 3 Arroyo, Marino 3 Bao, Gang 3 Benešová, Barbora 3 Berezovski, Arkadi 3 Braides, Andrea 3 Cardaliaguet, Pierre 3 Cicalese, Marco 3 Dal Maso, Gianni 3 Eremeyev, Victor A. 3 Fabrizio, Mauro 3 Fang, Jun 3 Fischer, Franz Dieter 3 Gao, Xingyu 3 Goriely, Alain 3 Govindjee, Sanjay 3 Grandi, Diego 3 Hong, Jung-Wuk 3 Idiart, Martín I. 3 Jabbour, Michel E. 3 Kalpakides, Vassilios K. 3 Kirchheim, Bernd 3 Le Dret, Hervé 3 Leoni, Giovanni 3 Li, Xiantao 3 Lions, Pierre-Louis 3 Liu, Di 3 Liu, Liping 3 Liu, Wenyang 3 Lopez-Pamies, Oscar 3 Maugin, Gérard A. 3 Meunier, Nicolas 3 Michaille, Gérard 3 Mielke, Alexander 3 Milton, Graeme Walter 3 Monchiet, Vincent 3 Motamarri, Phani 3 Raoult, Annie 3 Rudykh, Stephan 3 Rumpf, Martin 3 Schneider, Matti 3 Siboni, Morteza Hakimi 3 Silling, Stewart A. 3 Souganidis, Panagiotis E. 3 Vainchtein, Anna 3 Vallicotti, Daniel ...and 644 more Authors
all top 5

#### Cited in 108 Serials

 106 Journal of the Mechanics and Physics of Solids 35 Archive for Rational Mechanics and Analysis 33 Computer Methods in Applied Mechanics and Engineering 28 Continuum Mechanics and Thermodynamics 24 Journal of Elasticity 18 Mathematics and Mechanics of Solids 16 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 Journal of Computational Physics 12 Calculus of Variations and Partial Differential Equations 11 International Journal for Numerical Methods in Engineering 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Computational Mechanics 10 European Journal of Mechanics. A. Solids 9 International Journal of Solids and Structures 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Journal of Nonlinear Science 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Meccanica 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Journal of Differential Equations 5 Archive of Applied Mechanics 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Acta Mechanica 4 Communications on Pure and Applied Mathematics 4 International Journal of Engineering Science 4 Journal of Mathematical Analysis and Applications 4 Nonlinearity 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Scientific Computing 4 International Journal of Fracture 3 Computers & Mathematics with Applications 3 Journal of Functional Analysis 3 Quarterly of Applied Mathematics 3 Interfaces and Free Boundaries 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Multiscale Modeling & Simulation 3 GAMM-Mitteilungen 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Journal of Optimization Theory and Applications 2 Chinese Annals of Mathematics. Series B 2 Physica D 2 Applied Mathematics Letters 2 Computational Statistics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the National Academy of Sciences of the United States of America 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 International Applied Mechanics 2 Mathematical Problems in Engineering 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Acta Mechanica Sinica 2 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Heat and Mass Transfer 1 International Journal of Plasticity 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Wave Motion 1 Mathematics of Computation 1 Acta Mathematica 1 Calcolo 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics and Mechanics. (English Edition) 1 Applied Numerical Mathematics 1 Discrete & Computational Geometry 1 Mathematical and Computer Modelling 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Journal of Geometric Analysis 1 International Journal of Computer Mathematics 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 SIAM Journal on Scientific Computing 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Convex Analysis 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Chemistry 1 Chaos 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Nonlinear Science and Numerical Simulation 1 Lobachevskii Journal of Mathematics 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Acta Numerica 1 Computational & Mathematical Methods in Medicine ...and 8 more Serials
all top 5

#### Cited in 28 Fields

 464 Mechanics of deformable solids (74-XX) 97 Calculus of variations and optimal control; optimization (49-XX) 86 Partial differential equations (35-XX) 69 Statistical mechanics, structure of matter (82-XX) 54 Numerical analysis (65-XX) 16 Fluid mechanics (76-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 Optics, electromagnetic theory (78-XX) 13 Differential geometry (53-XX) 13 Quantum theory (81-XX) 9 Real functions (26-XX) 8 Ordinary differential equations (34-XX) 6 Biology and other natural sciences (92-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Convex and discrete geometry (52-XX) 5 Mechanics of particles and systems (70-XX) 4 Functional analysis (46-XX) 3 Functions of a complex variable (30-XX) 3 Integral equations (45-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX)