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Author ID: levitas.valery-i Recent zbMATH articles by "Levitas, Valery I."
Published as: Levitas, Valery I.; Levitas, V. I.; Levitas, Valeriĭ I.; Levitas, Valerij I.

Publications by Year

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 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

Citations by Year