Edit Profile (opens in new tab) Levitas, Valery I. Co-Author Distance Author ID: levitas.valery-i Published as: Levitas, Valery I.; Levitas, V. I.; Levitas, Valeriĭ I.; Levitas, Valerij I. more...less Documents Indexed: 54 Publications since 1978 1 Contribution as Editor Co-Authors: 18 Co-Authors with 28 Joint Publications 315 Co-Co-Authors all top 5 Co-Authors 27 single-authored 9 Stein, Erwin 8 Idesman, Alexander V. 5 Basak, Anup 3 Preston, Dean L. 2 Javanbakht, Mahdi 2 Novikov, N. V. 2 Ozsoy, Istemi B. 2 Theil, Florian 1 Attariani, Hamed 1 Babaei, Hamed 1 Farrahi, Gholam Hossein 1 Jafarzadeh, Hossein 1 Kuczma, Mieczysław S. 1 Lee, Dongwook 1 Lengnick, Matthias 1 Leshchuk, A. A. 1 Mielke, Alexander 1 Warren, James A. all top 5 Serials 8 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 8 Journal of the Mechanics and Physics of Solids 8 Mechanics Research Communications 7 International Journal of Plasticity 3 Computer Methods in Applied Mechanics and Engineering 3 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 Continuum Mechanics and Thermodynamics 1 Chebyshevskiĭ Sbornik all top 5 Fields 55 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) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 421 times in 254 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. 115 2002 Thermomechanical theory of martensitic phase transformations in inelastic materials. Zbl 0931.74059 Levitas, Valery I. 41 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. 26 2005 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. 22 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. 22 2009 Phase field approach to martensitic phase transformations with large strains and interface stresses. Zbl 1328.74003 Levitas, Valery I. 20 2014 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. 16 2000 Micromechanical modeling of stress-induced phase transformations. II: Computational algorithms and examples. Zbl 1277.74058 Levitas, Valery I.; Ozsoy, Istemi B. 16 2009 Relations for anisotropic and isotropic creeping elastoplastic media with finite deformations. Zbl 0638.73001 Levitas, V. I. 10 1987 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 10 1999 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. 10 2005 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. 9 1995 Finite element simulation of martensitic phase transitions in elastoplastic materials. Zbl 0931.74071 Levitas, V. I.; Idesman, A. V.; Stein, Erwin 9 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. 8 1995 Phase field approach with anisotropic interface energy and interface stresses: large strain formulation. Zbl 1482.74049 Levitas, Valery I.; Warren, James A. 8 2016 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 7 2000 Simple micromechanical model of thermoelastic martensitic transformations. Zbl 0888.73052 Levitas, Valery I.; Stein, Erwin 7 1997 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 7 2014 Phase transitions in elastoplastic materials: Continuum thermomechanical theory and examples of control. I. Zbl 0977.74560 Levitas, Valery I. 5 1997 A new look at the problem of plastic spin based on stability analysis. Zbl 0974.74513 Levitas, Valery I. 5 1998 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. 5 2018 Finite element procedure for solving contact thermoelastoplastic problems at large strains, normal and high pressures. Zbl 1067.74576 Idesman, A. V.; Levitas, V. I. 4 1995 Phase transitions in elastoplastic materials: Continuum thermomechanical theory and examples of control. II. Zbl 0977.74561 Levitas, Valery I. 4 1997 Thermomechanical description of pseudoelasticity. The threshold-type dissipative force with discrete memory. Zbl 0800.73095 Levitas, Valery I. 4 1994 A study of a Hamiltonian model for martensitic phase transformations including microkinetic energy. Zbl 1223.74032 Theil, Florian; Levitas, Valery I. 4 2000 Phase field theory for fracture at large strains including surface stresses. Zbl 07575013 Jafarzadeh, Hossein; Farrahi, Gholam Hossein; Levitas, Valery I.; Javanbakht, Mahdi 4 2022 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. 4 2019 Thermomechanical and kinetic approaches to diffusional-displacive phase transitions in inelastic materials. Zbl 0965.74047 Levitas, Valery I. 2 2000 Principle of minimum dissipation rate at time \(t+\Delta t\) for the plastic spin. Zbl 0931.74015 Levitas, Valery I. 2 1997 Thermomechanics of martensitic phase transitions in elastoplastic materials. Zbl 0842.73005 Levitas, Valery I. 2 1995 On a unified approach to the description of phase transitions and strain localization. Zbl 0857.73011 Levitas, V. I.; Stein, Erwin; Lengnick, M. 2 1996 Structure of defining equations for phase transitions in two-phase thermo-elastico-plastic composites. Zbl 0737.73011 Levitas, V. I. 2 1990 Thermodynamical model of martensitic phase transitions. Zbl 0830.73006 Levitas, V. I.; Stein, Erwin 1 1995 Structure of generating relations for elastico-plastic composites in case of finite deformations. Zbl 0705.73076 Levitas, V. I. 1 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. 1 1988 Theory of martensitic phase transformations in inelastic materials in local description. Zbl 0945.74661 Levitas, Valery I. 1 1996 Plasticity theory of microinhomogeneous materials at large strain gradient. Zbl 0803.73037 Levitas, Valerij I. 1 1994 On correct account of finite rotations in finite plasticity theory. Zbl 0768.73025 Levitas, V. I. 1 1992 Critical thought experiment to choose the driving force for interface propagation in inelastic materials. Zbl 1032.74613 Levitas, Valery I. 1 2002 An exact formulation for exponential-logarithmic transformation stretches in a multiphase phase field approach to martensitic transformations. Zbl 1482.74134 Basak, Anup; Levitas, Valery I. 1 2020 Phase field approach to interaction between phase transformations and plasticity at the nanoscale at large strains. Zbl 1434.74104 Levitas, Valeriĭ I.; Javanbakht, Mahdi 1 2017 Phase field theory for fracture at large strains including surface stresses. Zbl 07575013 Jafarzadeh, Hossein; Farrahi, Gholam Hossein; Levitas, Valery I.; Javanbakht, Mahdi 4 2022 An exact formulation for exponential-logarithmic transformation stretches in a multiphase phase field approach to martensitic transformations. Zbl 1482.74134 Basak, Anup; Levitas, Valery I. 1 2020 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. 4 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. 5 2018 Phase field approach to interaction between phase transformations and plasticity at the nanoscale at large strains. Zbl 1434.74104 Levitas, Valeriĭ I.; Javanbakht, Mahdi 1 2017 Phase field approach with anisotropic interface energy and interface stresses: large strain formulation. Zbl 1482.74049 Levitas, Valery I.; Warren, James A. 8 2016 Phase field approach to martensitic phase transformations with large strains and interface stresses. Zbl 1328.74003 Levitas, Valery I. 20 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 7 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. 22 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. 22 2009 Micromechanical modeling of stress-induced phase transformations. II: Computational algorithms and examples. Zbl 1277.74058 Levitas, Valery I.; Ozsoy, Istemi B. 16 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. 26 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. 10 2005 A variational formulation of rate-independent phase transformations using an extremum principle. Zbl 1012.74054 Mielke, Alexander; Theil, Florian; Levitas, Valery I. 115 2002 Critical thought experiment to choose the driving force for interface propagation in inelastic materials. Zbl 1032.74613 Levitas, Valery I. 1 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. 16 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 7 2000 A study of a Hamiltonian model for martensitic phase transformations including microkinetic energy. Zbl 1223.74032 Theil, Florian; Levitas, Valery I. 4 2000 Thermomechanical and kinetic approaches to diffusional-displacive phase transitions in inelastic materials. Zbl 0965.74047 Levitas, Valery I. 2 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 10 1999 Thermomechanical theory of martensitic phase transformations in inelastic materials. Zbl 0931.74059 Levitas, Valery I. 41 1998 Finite element simulation of martensitic phase transitions in elastoplastic materials. Zbl 0931.74071 Levitas, V. I.; Idesman, A. V.; Stein, Erwin 9 1998 A new look at the problem of plastic spin based on stability analysis. Zbl 0974.74513 Levitas, Valery I. 5 1998 Simple micromechanical model of thermoelastic martensitic transformations. Zbl 0888.73052 Levitas, Valery I.; Stein, Erwin 7 1997 Phase transitions in elastoplastic materials: Continuum thermomechanical theory and examples of control. I. Zbl 0977.74560 Levitas, Valery I. 5 1997 Phase transitions in elastoplastic materials: Continuum thermomechanical theory and examples of control. II. Zbl 0977.74561 Levitas, Valery I. 4 1997 Principle of minimum dissipation rate at time \(t+\Delta t\) for the plastic spin. Zbl 0931.74015 Levitas, Valery I. 2 1997 On a unified approach to the description of phase transitions and strain localization. Zbl 0857.73011 Levitas, V. I.; Stein, Erwin; Lengnick, M. 2 1996 Theory of martensitic phase transformations in inelastic materials in local description. Zbl 0945.74661 Levitas, Valery I. 1 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. 9 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. 8 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. 4 1995 Thermomechanics of martensitic phase transitions in elastoplastic materials. Zbl 0842.73005 Levitas, Valery I. 2 1995 Thermodynamical model of martensitic phase transitions. Zbl 0830.73006 Levitas, V. I.; Stein, Erwin 1 1995 Thermomechanical description of pseudoelasticity. The threshold-type dissipative force with discrete memory. Zbl 0800.73095 Levitas, Valery I. 4 1994 Plasticity theory of microinhomogeneous materials at large strain gradient. Zbl 0803.73037 Levitas, Valerij I. 1 1994 On correct account of finite rotations in finite plasticity theory. Zbl 0768.73025 Levitas, V. I. 1 1992 Structure of defining equations for phase transitions in two-phase thermo-elastico-plastic composites. Zbl 0737.73011 Levitas, V. I. 2 1990 Structure of generating relations for elastico-plastic composites in case of finite deformations. Zbl 0705.73076 Levitas, V. I. 1 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. 1 1988 Relations for anisotropic and isotropic creeping elastoplastic media with finite deformations. Zbl 0638.73001 Levitas, V. I. 10 1987 all cited Publications top 5 cited Publications all top 5 Cited by 332 Authors 26 Mielke, Alexander 23 Levitas, Valery I. 22 Roubíček, Tomáš 19 Stefanelli, Ulisse 16 Kružík, Martin 8 Rossi, Riccarda 7 Auricchio, Ferdinando 6 Grandi, Diego 6 Hackl, Klaus 6 Javanbakht, Mahdi 5 Basak, Anup 5 Dai, Hui-Hui 5 Junker, Philipp 5 Peletier, Mark Adriaan 5 Savaré, Giuseppe 5 Truskinovsky, Lev 4 Francfort, Gilles A. 4 Freĭdin, Aleksandr Borisovich 4 Idesman, Alexander V. 4 Krejčí, Pavel 4 Mosler, Jörn 4 Poluektov, Michael 4 Steinmann, Paul 4 Stupkiewicz, Stanisław 4 Wang, Jiong 4 Zanini, Chiara 3 Bartel, Thorsten 3 Dal Maso, Gianni 3 Figiel, Łukasz 3 Ghaedi, Mohammad Sadegh 3 Jafarzadeh, Hossein 3 Knees, Dorothee 3 Kuhn, Charlotte 3 Mantič, Vladislav 3 Menzel, Andreas M. 3 Muller, Ralf 3 Panagiotopoulos, Christos G. 3 Petryk, Henryk 3 Reali, Alessandro 3 Reese, Stefanie 3 Schmitt, Regina 3 Stein, Erwin 3 Visintin, Augusto 3 Zeman, Jan 3 Zimmer, Johannes 2 Abali, Bilen Emek 2 Amirian, Benhour 2 Antretter, Thomas 2 Arghavani, J. 2 Barchiesi, Emilio 2 Benešová, Barbora 2 Bessoud, Anne Laure 2 Christ, Daniel 2 Clayton, John D. 2 Conti, Sergio 2 DeSimone, Antonio 2 Farrahi, Gholam Hossein 2 Fiaschi, Alice 2 Freddi, Lorenzo 2 Frigeri, Sergio 2 Garroni, Adriana 2 Govindjee, Sanjay 2 Heinz, Sebastian 2 Hogan, James David 2 Homayonifar, M. 2 Javili, Ali 2 Knap, Jaroslaw 2 Knüpfer, Hans 2 Mahnken, Rolf 2 Mainik, Andreas 2 Mainini, Edoardo 2 Mariano, Paolo Maria 2 Miehe, Christian 2 Minotti, Luca 2 Mora, Maria Giovanna 2 Moumni, Ziad 2 Naghdabadi, Reza 2 Nestler, Britta 2 Ortiz, Michael 2 Ozsoy, Istemi B. 2 Panoskaltsis, Vassilis P. 2 Paoli, Laetitia A. 2 Pardoen, Thomas 2 Pelech, Petr 2 Petrov, Adrien 2 Preston, Dean L. 2 Renger, D. R. Michiel 2 Rindler, Filip 2 Schlömerkemper, Anja 2 Schneidt, Andreas 2 Schwarzacher, Sebastian 2 Shaw, John A. 2 Sohrabpour, Saeed 2 Soldatos, Dimitris 2 Song, Zilong 2 Svendsen, Bob 2 Theil, Florian 2 Thomas, Stephanie M. 2 Tůma, Karel 2 Vainchtein, Anna ...and 232 more Authors all top 5 Cited in 59 Serials 25 Journal of the Mechanics and Physics of Solids 20 Computer Methods in Applied Mechanics and Engineering 20 Continuum Mechanics and Thermodynamics 19 International Journal of Plasticity 15 International Journal of Engineering Science 12 Archive for Rational Mechanics and Analysis 11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Computational Mechanics 9 Mathematics and Mechanics of Solids 8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Discrete and Continuous Dynamical Systems. Series S 5 Acta Mechanica 5 International Journal of Solids and Structures 4 Meccanica 4 Calculus of Variations and Partial Differential Equations 4 European Journal of Mechanics. A. Solids 4 GAMM-Mitteilungen 3 Journal of Applied Mathematics and Mechanics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Physica D 3 Journal of Elasticity 3 Archive of Applied Mechanics 3 Discrete and Continuous Dynamical Systems 3 Nonlinear Analysis. Real World Applications 2 Journal of Engineering Mathematics 2 International Journal for Numerical Methods in Engineering 2 Journal of Optimization Theory and Applications 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 of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 SIAM Journal on Control and Optimization 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 SIAM Journal on Mathematical Analysis 1 Acta Mechanica Sinica. (English Edition) 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 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 Milan Journal of Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 Chebyshevskiĭ Sbornik 1 The European Physical Journal B. Condensed Matter and Complex Systems all top 5 Cited in 19 Fields 221 Mechanics of deformable solids (74-XX) 52 Partial differential equations (35-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 18 Classical thermodynamics, heat transfer (80-XX) 16 Numerical analysis (65-XX) 13 Statistical mechanics, structure of matter (82-XX) 10 Operator theory (47-XX) 6 Ordinary differential equations (34-XX) 5 Probability theory and stochastic processes (60-XX) 4 Fluid mechanics (76-XX) 4 Optics, electromagnetic theory (78-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Functional analysis (46-XX) 2 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year