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## Levitas, Valery I.

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 Author ID: levitas.valery-i Published as: Levitas, Valery I.; Levitas, V. I.; Levitas, Valeriĭ I.; Levitas, Valerij I.
 Documents Indexed: 52 Publications since 1978
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#### Co-Authors

 27 single-authored 9 Stein, Erwin 8 Idesman, Alexander V. 4 Basak, Anup 3 Preston, Dean L. 2 Novikov, N. V. 2 Ozsoy, Istemi B. 2 Theil, Florian 1 Attariani, Hamed 1 Babaei, Hamed 1 Javanbakht, Mahdi 1 Kuczma, Mieczysław S. 1 Lee, Dongwook 1 Lengnick, Matthias 1 Leshchuk, A. A. 1 Mielke, Alexander
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#### Serials

 8 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 8 Mechanics Research Communications 7 International Journal of Plasticity 7 Journal of the Mechanics and Physics of Solids 3 Computer Methods in Applied Mechanics and Engineering 2 International Journal of Engineering Science 2 International Journal of Solids and Structures 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Mathematics and Mechanics of Solids 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Archive for Rational Mechanics and Analysis 1 Physics Letters. A 1 Computational Mechanics 1 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 1 Soviet Physics. Doklady 1 Acta Mechanica Sinica. (English Edition) 1 Archive of Applied Mechanics 1 Chebyshevskiĭ Sbornik
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#### Fields

 52 Mechanics of deformable solids (74-XX) 9 Classical thermodynamics, heat transfer (80-XX) 6 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Partial differential equations (35-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

37 Publications have been cited 345 times in 214 Documents Cited by Year
A variational formulation of rate-independent phase transformations using an extremum principle. Zbl 1012.74054
Mielke, Alexander; Theil, Florian; Levitas, Valery I.
2002
Thermomechanical theory of martensitic phase transformations in inelastic materials. Zbl 0931.74059
Levitas, Valery I.
1998
Finite element simulations of martensitic phase transitions and microstructures based on a strain softening model. Zbl 1122.74475
Idesman, A. V.; Levitas, V. I.; Preston, D. L.; Cho, J.-Y.
2005
Micromechanical modeling of stress-induced phase transformations. I: Thermodynamics and kinetics of coupled interface propagation and reorientation. Zbl 1277.74059
Levitas, Valery I.; Ozsoy, Istemi B.
2009
Interface propagation and microstructure evolution in phase field models of stress-induced martensitic phase transformations. Zbl 1454.74130
Levitas, Valery I.; Lee, Dong-Wook; Preston, Dean L.
2010
Micromechanical modeling of stress-induced phase transformations. II: Computational algorithms and examples. Zbl 1277.74058
Levitas, Valery I.; Ozsoy, Istemi B.
2009
Phase field approach to martensitic phase transformations with large strains and interface stresses. Zbl 1328.74003
Levitas, Valery I.
2014
Elastoplastic materials with martensitic phase transition and twinning at finite strains: Numerical solution with the finite element method. Zbl 0961.74060
Idesman, Alexander V.; Levitas, Valery I.; Stein, Erwin
1999
Structural changes without stable intermediate state in inelastic material. I: General thermomechanical and kinetic approaches. II: Applications to displacive and diffusional-displacive phase transformations, strain-induced chemical reactions and ductile fracture. Zbl 0963.74009
Levitas, Valery I.
2000
Relations for anisotropic and isotropic creeping elastoplastic media with finite deformations. Zbl 0638.73001
Levitas, V. I.
1987
The postulate of realizability: Formulation and applications to the post-bifurcation behaviour and phase transitions in elastoplastic materials. I. Zbl 0899.73132
Levitas, Valery I.
1995
Finite element simulation of martensitic phase transitions in elastoplastic materials. Zbl 0931.74071
Levitas, V. I.; Idesman, A. V.; Stein, Erwin
1998
The postulate of realizability: Formulation and applications to the post-bifurcation behaviour and phase transitions in elastoplastic materials. II. Zbl 0899.73133
Levitas, Valery I.
1995
Thermomechanical lattice instability and phase field theory of martensitic phase transformations, twinning and dislocations at large strains. Zbl 1181.74039
Levitas, Valery I.; Preston, Dean L.
2005
Structural changes in elastoplastic material: A unified finite-element approach to phase transformation, twinning and fracture. Zbl 1003.74056
Idesman, Alexander V.; Levitas, Valery I.; Stein, Erwin
2000
Simple micromechanical model of thermoelastic martensitic transformations. Zbl 0888.73052
Levitas, Valery I.; Stein, Erwin
1997
Phase transitions in elastoplastic materials: Continuum thermomechanical theory and examples of control. I. Zbl 0977.74560
Levitas, Valery I.
1997
A new look at the problem of plastic spin based on stability analysis. Zbl 0974.74513
Levitas, Valery I.
1998
Anisotropic compositional expansion in elastoplastic materials and corresponding chemical potential: Large-strain formulation and application to amorphous lithiated silicon. Zbl 1328.74025
Levitas, Valery I.; Attariani, Hamed
2014
Thermomechanical description of pseudoelasticity. The threshold-type dissipative force with discrete memory. Zbl 0800.73095
Levitas, Valery I.
1994
Finite element procedure for solving contact thermoelastoplastic problems at large strains, normal and high pressures. Zbl 1067.74576
Idesman, A. V.; Levitas, V. I.
1995
A study of a Hamiltonian model for martensitic phase transformations including microkinetic energy. Zbl 1223.74032
Theil, Florian; Levitas, Valery I.
2000
Phase transitions in elastoplastic materials: Continuum thermomechanical theory and examples of control. II. Zbl 0977.74561
Levitas, Valery I.
1997
Thermomechanics of martensitic phase transitions in elastoplastic materials. Zbl 0842.73005
Levitas, Valery I.
1995
On a unified approach to the description of phase transitions and strain localization. Zbl 0857.73011
Levitas, V. I.; Stein, Erwin; Lengnick, M.
1996
Principle of minimum dissipation rate at time $$t+\Delta t$$ for the plastic spin. Zbl 0931.74015
Levitas, Valery I.
1997
Thermomechanical and kinetic approaches to diffusional-displacive phase transitions in inelastic materials. Zbl 0965.74047
Levitas, Valery I.
2000
Finite element procedure and simulations for a multiphase phase field approach to martensitic phase transformations at large strains and with interfacial stresses. Zbl 1440.74262
Basak, Anup; Levitas, Valery I.
2019
Nanoscale multiphase phase field approach for stress- and temperature-induced martensitic phase transformations with interfacial stresses at finite strains. Zbl 1441.74030
Basak, Anup; Levitas, Valery I.
2018
Thermodynamical model of martensitic phase transitions. Zbl 0830.73006
Levitas, V. I.; Stein, Erwin
1995
Plasticity theory of microinhomogeneous materials at large strain gradient. Zbl 0803.73037
Levitas, Valerij I.
1994
Critical thought experiment to choose the driving force for interface propagation in inelastic materials. Zbl 1032.74613
Levitas, Valery I.
2002
Structure of generating relations for elastico-plastic composites in case of finite deformations. Zbl 0705.73076
Levitas, V. I.
1989
Simulation of the process of diamond synthesis in the reaction zone of a high-pressure apparatus. Zbl 0711.73098
Novikov, N. V.; Levitas, V. I.; Leshchuk, A. A.; Idesman, A. V.
1988
Theory of martensitic phase transformations in inelastic materials in local description. Zbl 0945.74661
Levitas, Valery I.
1996
Structure of defining equations for phase transitions in two-phase thermo-elastico-plastic composites. Zbl 0737.73011
Levitas, V. I.
1990
On correct account of finite rotations in finite plasticity theory. Zbl 0768.73025
Levitas, V. I.
1992
Finite element procedure and simulations for a multiphase phase field approach to martensitic phase transformations at large strains and with interfacial stresses. Zbl 1440.74262
Basak, Anup; Levitas, Valery I.
2019
Nanoscale multiphase phase field approach for stress- and temperature-induced martensitic phase transformations with interfacial stresses at finite strains. Zbl 1441.74030
Basak, Anup; Levitas, Valery I.
2018
Phase field approach to martensitic phase transformations with large strains and interface stresses. Zbl 1328.74003
Levitas, Valery I.
2014
Anisotropic compositional expansion in elastoplastic materials and corresponding chemical potential: Large-strain formulation and application to amorphous lithiated silicon. Zbl 1328.74025
Levitas, Valery I.; Attariani, Hamed
2014
Interface propagation and microstructure evolution in phase field models of stress-induced martensitic phase transformations. Zbl 1454.74130
Levitas, Valery I.; Lee, Dong-Wook; Preston, Dean L.
2010
Micromechanical modeling of stress-induced phase transformations. I: Thermodynamics and kinetics of coupled interface propagation and reorientation. Zbl 1277.74059
Levitas, Valery I.; Ozsoy, Istemi B.
2009
Micromechanical modeling of stress-induced phase transformations. II: Computational algorithms and examples. Zbl 1277.74058
Levitas, Valery I.; Ozsoy, Istemi B.
2009
Finite element simulations of martensitic phase transitions and microstructures based on a strain softening model. Zbl 1122.74475
Idesman, A. V.; Levitas, V. I.; Preston, D. L.; Cho, J.-Y.
2005
Thermomechanical lattice instability and phase field theory of martensitic phase transformations, twinning and dislocations at large strains. Zbl 1181.74039
Levitas, Valery I.; Preston, Dean L.
2005
A variational formulation of rate-independent phase transformations using an extremum principle. Zbl 1012.74054
Mielke, Alexander; Theil, Florian; Levitas, Valery I.
2002
Critical thought experiment to choose the driving force for interface propagation in inelastic materials. Zbl 1032.74613
Levitas, Valery I.
2002
Structural changes without stable intermediate state in inelastic material. I: General thermomechanical and kinetic approaches. II: Applications to displacive and diffusional-displacive phase transformations, strain-induced chemical reactions and ductile fracture. Zbl 0963.74009
Levitas, Valery I.
2000
Structural changes in elastoplastic material: A unified finite-element approach to phase transformation, twinning and fracture. Zbl 1003.74056
Idesman, Alexander V.; Levitas, Valery I.; Stein, Erwin
2000
A study of a Hamiltonian model for martensitic phase transformations including microkinetic energy. Zbl 1223.74032
Theil, Florian; Levitas, Valery I.
2000
Thermomechanical and kinetic approaches to diffusional-displacive phase transitions in inelastic materials. Zbl 0965.74047
Levitas, Valery I.
2000
Elastoplastic materials with martensitic phase transition and twinning at finite strains: Numerical solution with the finite element method. Zbl 0961.74060
Idesman, Alexander V.; Levitas, Valery I.; Stein, Erwin
1999
Thermomechanical theory of martensitic phase transformations in inelastic materials. Zbl 0931.74059
Levitas, Valery I.
1998
Finite element simulation of martensitic phase transitions in elastoplastic materials. Zbl 0931.74071
Levitas, V. I.; Idesman, A. V.; Stein, Erwin
1998
A new look at the problem of plastic spin based on stability analysis. Zbl 0974.74513
Levitas, Valery I.
1998
Simple micromechanical model of thermoelastic martensitic transformations. Zbl 0888.73052
Levitas, Valery I.; Stein, Erwin
1997
Phase transitions in elastoplastic materials: Continuum thermomechanical theory and examples of control. I. Zbl 0977.74560
Levitas, Valery I.
1997
Phase transitions in elastoplastic materials: Continuum thermomechanical theory and examples of control. II. Zbl 0977.74561
Levitas, Valery I.
1997
Principle of minimum dissipation rate at time $$t+\Delta t$$ for the plastic spin. Zbl 0931.74015
Levitas, Valery I.
1997
On a unified approach to the description of phase transitions and strain localization. Zbl 0857.73011
Levitas, V. I.; Stein, Erwin; Lengnick, M.
1996
Theory of martensitic phase transformations in inelastic materials in local description. Zbl 0945.74661
Levitas, Valery I.
1996
The postulate of realizability: Formulation and applications to the post-bifurcation behaviour and phase transitions in elastoplastic materials. I. Zbl 0899.73132
Levitas, Valery I.
1995
The postulate of realizability: Formulation and applications to the post-bifurcation behaviour and phase transitions in elastoplastic materials. II. Zbl 0899.73133
Levitas, Valery I.
1995
Finite element procedure for solving contact thermoelastoplastic problems at large strains, normal and high pressures. Zbl 1067.74576
Idesman, A. V.; Levitas, V. I.
1995
Thermomechanics of martensitic phase transitions in elastoplastic materials. Zbl 0842.73005
Levitas, Valery I.
1995
Thermodynamical model of martensitic phase transitions. Zbl 0830.73006
Levitas, V. I.; Stein, Erwin
1995
Thermomechanical description of pseudoelasticity. The threshold-type dissipative force with discrete memory. Zbl 0800.73095
Levitas, Valery I.
1994
Plasticity theory of microinhomogeneous materials at large strain gradient. Zbl 0803.73037
Levitas, Valerij I.
1994
On correct account of finite rotations in finite plasticity theory. Zbl 0768.73025
Levitas, V. I.
1992
Structure of defining equations for phase transitions in two-phase thermo-elastico-plastic composites. Zbl 0737.73011
Levitas, V. I.
1990
Structure of generating relations for elastico-plastic composites in case of finite deformations. Zbl 0705.73076
Levitas, V. I.
1989
Simulation of the process of diamond synthesis in the reaction zone of a high-pressure apparatus. Zbl 0711.73098
Novikov, N. V.; Levitas, V. I.; Leshchuk, A. A.; Idesman, A. V.
1988
Relations for anisotropic and isotropic creeping elastoplastic media with finite deformations. Zbl 0638.73001
Levitas, V. I.
1987
all top 5

#### Cited by 262 Authors

 23 Mielke, Alexander 22 Roubíček, Tomáš 20 Levitas, Valery I. 17 Stefanelli, Ulisse 11 Kružík, Martin 7 Auricchio, Ferdinando 6 Grandi, Diego 6 Hackl, Klaus 6 Rossi, Riccarda 5 Dai, Hui-Hui 5 Junker, Philipp 5 Truskinovsky, Lev 4 Basak, Anup 4 Francfort, Gilles A. 4 Idesman, Alexander V. 4 Krejčí, Pavel 4 Savaré, Giuseppe 4 Stupkiewicz, Stanisław 4 Wang, Jiong 4 Zanini, Chiara 3 Clayton, John D. 3 Dal Maso, Gianni 3 Javanbakht, Mahdi 3 Kuhn, Charlotte 3 Mantič, Vladislav 3 Mosler, Jörn 3 Muller, Ralf 3 Panagiotopoulos, Christos G. 3 Peletier, Mark Adriaan 3 Petryk, Henryk 3 Reese, Stefanie 3 Schmitt, Regina 3 Stein, Erwin 3 Steinmann, Paul 3 Visintin, Augusto 2 Antretter, Thomas 2 Arghavani, J. 2 Bartel, Thorsten 2 Benešová, Barbora 2 Bessoud, Anne Laure 2 Christ, Daniel 2 Conti, Sergio 2 DeSimone, Antonio 2 Fiaschi, Alice 2 Figiel, Łukasz 2 Freddi, Lorenzo 2 Freĭdin, Aleksandr Borisovich 2 Frigeri, Sergio 2 Garroni, Adriana 2 Govindjee, Sanjay 2 Heinz, Sebastian 2 Homayonifar, M. 2 Knap, Jaroslaw 2 Mahnken, Rolf 2 Mainik, Andreas 2 Mainini, Edoardo 2 Mariano, Paolo Maria 2 Menzel, Andreas M. 2 Miehe, Christian 2 Minotti, Luca 2 Mora, Maria Giovanna 2 Moumni, Ziad 2 Naghdabadi, Reza 2 Ortiz, Michael 2 Ozsoy, Istemi B. 2 Panoskaltsis, Vassilis P. 2 Paoli, Laetitia A. 2 Pardoen, Thomas 2 Petrov, Adrien 2 Poluektov, Michael 2 Preston, Dean L. 2 Reali, Alessandro 2 Renger, D. R. Michiel 2 Rindler, Filip 2 Schneidt, Andreas 2 Schwarzacher, Sebastian 2 Shaw, John A. 2 Soldatos, D. 2 Song, Zilong 2 Svendsen, Bob 2 Theil, Florian 2 Tůma, Karel 2 Vainchtein, Anna 2 Waimann, Johanna 2 Zeman, Jan 2 Zimmer, Johannes 1 Alley, E. S. 1 Anderson, Peter M. 1 Attariani, Hamed 1 Babaei, Hamed 1 Barbe, Fabrice 1 Barchiesi, Emilio 1 Bartels, Alexander 1 Biscari, Paolo 1 Bo, Zhonghe 1 Boatti, Elisa 1 Bonaschi, Giovanni A. 1 Bonetti, Elena 1 Brocato, Maurizio 1 Brokate, Martin ...and 162 more Authors
all top 5

#### Cited in 52 Serials

 22 Journal of the Mechanics and Physics of Solids 19 International Journal of Plasticity 19 Continuum Mechanics and Thermodynamics 15 Computer Methods in Applied Mechanics and Engineering 11 Archive for Rational Mechanics and Analysis 11 International Journal of Engineering Science 11 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 Computational Mechanics 7 Mathematics and Mechanics of Solids 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Discrete and Continuous Dynamical Systems. Series S 5 International Journal of Solids and Structures 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 GAMM-Mitteilungen 3 Journal of Applied Mathematics and Mechanics 3 Meccanica 3 Physica D 3 Journal of Elasticity 3 Archive of Applied Mechanics 3 Calculus of Variations and Partial Differential Equations 3 Discrete and Continuous Dynamical Systems 3 European Journal of Mechanics. A. Solids 3 Nonlinear Analysis. Real World Applications 2 Acta Mechanica 2 Journal of Engineering Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 International Journal for Numerical Methods in Engineering 2 Journal of Optimization Theory and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Prikladnaya Matematika i Mekhanika 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics 1 Acta Mechanica Sinica. (English Edition) 1 Journal of Nonlinear Science 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Applied Mechanics and Technical Physics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Contemporary Mathematics 1 Optimization and Engineering 1 Journal of Evolution Equations 1 Archives of Computational Methods in Engineering 1 International Journal of Geometric Methods in Modern Physics 1 Chebyshevskiĭ Sbornik
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#### Cited in 18 Fields

 189 Mechanics of deformable solids (74-XX) 45 Partial differential equations (35-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 17 Classical thermodynamics, heat transfer (80-XX) 14 Numerical analysis (65-XX) 10 Statistical mechanics, structure of matter (82-XX) 7 Operator theory (47-XX) 6 Ordinary differential equations (34-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 3 Optics, electromagnetic theory (78-XX) 2 Fluid mechanics (76-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX)