Edit Profile (opens in new tab) Vainchtein, Anna Co-Author Distance Author ID: vainchtein.anna Published as: Vainchtein, Anna; Vainchtein, A. External Links: MGP Documents Indexed: 34 Publications since 1998 Co-Authors: 18 Co-Authors with 26 Joint Publications 637 Co-Co-Authors all top 5 Co-Authors 8 single-authored 8 Kevrekidis, Panayotis G. 8 Truskinovsky, Lev 4 Rosakis, Phoebus 3 Cuevas Maraver, Jesús 3 Liu, Lifeng 3 Xu, Haitao 2 Duran, Henry 2 Healey, Timothy J. 2 James, Guillaume 2 Trofimov, Evgeni 2 Zhen, Yubao 1 Duanmu, M. 1 Rubin, Jonathan E. 1 Sharma, Basant Lal 1 Van Vleck, Erik S. 1 Wang, Yangyang 1 Whitaker, Nathaniel 1 Zhang, Aijun all top 5 Serials 7 Continuum Mechanics and Thermodynamics 6 Physica D 4 Journal of the Mechanics and Physics of Solids 3 Journal of Nonlinear Science 2 Wave Motion 2 Mathematics and Mechanics of Solids 2 Communications in Nonlinear Science and Numerical Simulation 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Solids and Structures 1 Nonlinearity 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 22 Mechanics of deformable solids (74-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Partial differential equations (35-XX) 8 Statistical mechanics, structure of matter (82-XX) 4 Ordinary differential equations (34-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 241 times in 128 Documents Cited by ▼ Year ▼ Kinetics of Martensitic phase transitions: Lattice model. Zbl 1136.74362 Truskinovsky, Lev; Vainchtein, Anna 45 2005 The origin of nucleation peak in transformational plasticity. Zbl 1079.74012 Truskinovsky, Lev; Vainchtein, Anna 25 2004 Quasicontinuum models of dynamic phase transitions. Zbl 1101.74049 Truskinovsky, Lev; Vainchtein, Anna 14 2006 Explicit kinetic relation from “first principles”. Zbl 1192.74287 Truskinovsky, Lev; Vainchtein, Anna 13 2005 The role of the spinodal region in one-dimensional martensitic phase transitions. Zbl 0962.74530 Vainchtein, A.; Healey, T.; Rosakis, P.; Truskinovsky, L. 12 1998 The role of spinodal region in the kinetics of lattice phase transitions. Zbl 1193.82042 Vainchtein, Anna 11 2010 Hysteresis and stick-slip motion of phase boundaries in dynamic models of phase transitions. Zbl 0989.74054 Vainchtein, A.; Rosakis, P. 10 1999 Dynamics of phase transitions and hysteresis in a viscoelastic Ericksen’s bar on an elastic foundation. Zbl 1003.74054 Vainchtein, Anna 8 1999 Breathers in a locally resonant granular chain with precompression. Zbl 1364.74028 Liu, Lifeng; James, Guillaume; Kevrekidis, Panayotis; Vainchtein, Anna 8 2016 Effect of nonlinearity on the steady motion of a twinning dislocation. Zbl 1189.37082 Vainchtein, Anna 7 2010 Shocks versus kinks in a discrete model of displacive phase transitions. Zbl 1234.74039 Trofimov, Evgeni; Vainchtein, Anna 7 2010 Dynamics of martensitic phase boundaries: Discreteness, dissipation and inertia. Zbl 1160.74398 Truskinovsky, Lev; Vainchtein, Anna 7 2008 Strongly nonlinear waves in locally resonant granular chains. Zbl 1352.37182 Liu, Lifeng; James, Guillaume; Kevrekidis, Panayotis; Vainchtein, Anna 7 2016 Propagation of periodic patterns in a discrete system with competing interactions. Zbl 1387.34108 Vainchtein, Anna; Van Vleck, Erik S.; Zhang, Aijun 7 2015 Dynamics of steps along a martensitic phase boundary. I: Semi-analytical solution. Zbl 1171.74401 Zhen, Yubao; Vainchtein, Anna 6 2008 Dynamics of phase transitions in a piecewise linear diatomic chain. Zbl 1366.37139 Vainchtein, Anna; Kevrekidis, Panayotis G. 6 2012 Stick-slip interface motion as a singular limit of the viscosity-capillarity model. Zbl 1057.74028 Vainchtein, Anna 6 2001 An energy-based stability criterion for solitary travelling waves in Hamiltonian lattices. Zbl 1402.37086 Xu, Haitao; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Vainchtein, Anna 6 2018 Bifurcation and metastability in a new one-dimensional model for martensitic phase transitions. Zbl 0949.74049 Vainchtein, Anna; Healey, Timothy J.; Rosakis, Phoebus 4 1999 Dynamics of steps along a martensitic phase boundary. II: Numerical simulations. Zbl 1171.74402 Zhen, Yubao; Vainchtein, Anna 4 2008 Quasistatic propagation of steps along a phase boundary. Zbl 1160.74397 Sharma, Basant Lal; Vainchtein, Anna 4 2007 Solitary waves in FPU-type lattices. Zbl 07529695 Vainchtein, Anna 4 2022 Dynamics of non-isothermal martensitic phase transitions and hysteresis. Zbl 1049.74035 Vainchtein, Anna 3 2002 Strictly supersonic solitary waves in lattices with second-neighbor interactions. Zbl 1448.82027 Truskinovsky, Lev; Vainchtein, Anna 3 2019 Traveling wave solutions in a chain of periodically forced coupled nonlinear oscillators. Zbl 1364.34043 Duanmu, M.; Whitaker, N.; Kevrekidis, P. G.; Vainchtein, A.; Rubin, J. E. 2 2016 Non-isothermal kinetics of a moving phase boundary. Zbl 1027.74049 Vainchtein, Anna 2 2003 Stability of traveling waves in a driven Frenkel-Kontorova model. Zbl 1452.37079 Vainchtein, Anna; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Xu, Haitao 2 2020 New solutions for slow moving kinks in a forced Frenkel-Kontorova chain. Zbl 1339.37079 Rosakis, Phoebus; Vainchtein, Anna 2 2013 Solitary wave propagation in a two-dimensional lattice. Zbl 1469.35211 Vainchtein, Anna 2 2018 Beyond kinetic relations. Zbl 1234.74042 Truskinovsky, Lev; Vainchtein, Anna 1 2010 Erratum to: “Shocks versus kinks in a discrete model of displacive phase transitions”. Zbl 1343.74040 Trofimov, Evgeni; Vainchtein, Anna 1 2013 Kinetics of a twinning step. Zbl 1299.74012 Liu, Lifeng; Vainchtein, Anna; Wang, Yangyang 1 2014 Unstable dynamics of solitary traveling waves in a lattice with long-range interactions. Zbl 1521.35074 Duran, Henry; Xu, Haitao; Kevrekidis, Panayotis G.; Vainchtein, Anna 1 2022 Solitary waves in FPU-type lattices. Zbl 07529695 Vainchtein, Anna 4 2022 Unstable dynamics of solitary traveling waves in a lattice with long-range interactions. Zbl 1521.35074 Duran, Henry; Xu, Haitao; Kevrekidis, Panayotis G.; Vainchtein, Anna 1 2022 Stability of traveling waves in a driven Frenkel-Kontorova model. Zbl 1452.37079 Vainchtein, Anna; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Xu, Haitao 2 2020 Strictly supersonic solitary waves in lattices with second-neighbor interactions. Zbl 1448.82027 Truskinovsky, Lev; Vainchtein, Anna 3 2019 An energy-based stability criterion for solitary travelling waves in Hamiltonian lattices. Zbl 1402.37086 Xu, Haitao; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Vainchtein, Anna 6 2018 Solitary wave propagation in a two-dimensional lattice. Zbl 1469.35211 Vainchtein, Anna 2 2018 Breathers in a locally resonant granular chain with precompression. Zbl 1364.74028 Liu, Lifeng; James, Guillaume; Kevrekidis, Panayotis; Vainchtein, Anna 8 2016 Strongly nonlinear waves in locally resonant granular chains. Zbl 1352.37182 Liu, Lifeng; James, Guillaume; Kevrekidis, Panayotis; Vainchtein, Anna 7 2016 Traveling wave solutions in a chain of periodically forced coupled nonlinear oscillators. Zbl 1364.34043 Duanmu, M.; Whitaker, N.; Kevrekidis, P. G.; Vainchtein, A.; Rubin, J. E. 2 2016 Propagation of periodic patterns in a discrete system with competing interactions. Zbl 1387.34108 Vainchtein, Anna; Van Vleck, Erik S.; Zhang, Aijun 7 2015 Kinetics of a twinning step. Zbl 1299.74012 Liu, Lifeng; Vainchtein, Anna; Wang, Yangyang 1 2014 New solutions for slow moving kinks in a forced Frenkel-Kontorova chain. Zbl 1339.37079 Rosakis, Phoebus; Vainchtein, Anna 2 2013 Erratum to: “Shocks versus kinks in a discrete model of displacive phase transitions”. Zbl 1343.74040 Trofimov, Evgeni; Vainchtein, Anna 1 2013 Dynamics of phase transitions in a piecewise linear diatomic chain. Zbl 1366.37139 Vainchtein, Anna; Kevrekidis, Panayotis G. 6 2012 The role of spinodal region in the kinetics of lattice phase transitions. Zbl 1193.82042 Vainchtein, Anna 11 2010 Effect of nonlinearity on the steady motion of a twinning dislocation. Zbl 1189.37082 Vainchtein, Anna 7 2010 Shocks versus kinks in a discrete model of displacive phase transitions. Zbl 1234.74039 Trofimov, Evgeni; Vainchtein, Anna 7 2010 Beyond kinetic relations. Zbl 1234.74042 Truskinovsky, Lev; Vainchtein, Anna 1 2010 Dynamics of martensitic phase boundaries: Discreteness, dissipation and inertia. Zbl 1160.74398 Truskinovsky, Lev; Vainchtein, Anna 7 2008 Dynamics of steps along a martensitic phase boundary. I: Semi-analytical solution. Zbl 1171.74401 Zhen, Yubao; Vainchtein, Anna 6 2008 Dynamics of steps along a martensitic phase boundary. II: Numerical simulations. Zbl 1171.74402 Zhen, Yubao; Vainchtein, Anna 4 2008 Quasistatic propagation of steps along a phase boundary. Zbl 1160.74397 Sharma, Basant Lal; Vainchtein, Anna 4 2007 Quasicontinuum models of dynamic phase transitions. Zbl 1101.74049 Truskinovsky, Lev; Vainchtein, Anna 14 2006 Kinetics of Martensitic phase transitions: Lattice model. Zbl 1136.74362 Truskinovsky, Lev; Vainchtein, Anna 45 2005 Explicit kinetic relation from “first principles”. Zbl 1192.74287 Truskinovsky, Lev; Vainchtein, Anna 13 2005 The origin of nucleation peak in transformational plasticity. Zbl 1079.74012 Truskinovsky, Lev; Vainchtein, Anna 25 2004 Non-isothermal kinetics of a moving phase boundary. Zbl 1027.74049 Vainchtein, Anna 2 2003 Dynamics of non-isothermal martensitic phase transitions and hysteresis. Zbl 1049.74035 Vainchtein, Anna 3 2002 Stick-slip interface motion as a singular limit of the viscosity-capillarity model. Zbl 1057.74028 Vainchtein, Anna 6 2001 Hysteresis and stick-slip motion of phase boundaries in dynamic models of phase transitions. Zbl 0989.74054 Vainchtein, A.; Rosakis, P. 10 1999 Dynamics of phase transitions and hysteresis in a viscoelastic Ericksen’s bar on an elastic foundation. Zbl 1003.74054 Vainchtein, Anna 8 1999 Bifurcation and metastability in a new one-dimensional model for martensitic phase transitions. Zbl 0949.74049 Vainchtein, Anna; Healey, Timothy J.; Rosakis, Phoebus 4 1999 The role of the spinodal region in one-dimensional martensitic phase transitions. Zbl 0962.74530 Vainchtein, A.; Healey, T.; Rosakis, P.; Truskinovsky, L. 12 1998 all cited Publications top 5 cited Publications all top 5 Cited by 185 Authors 20 Vainchtein, Anna 16 Truskinovsky, Lev 6 Herrmann, Michael 5 Hupkes, Hermen Jan 5 Kevrekidis, Panayotis G. 5 Schwetlick, Hartmut R. 5 Zimmer, Johannes 4 Slepyan, Leonid I. 3 Cherkaev, Andrej V. 3 Gorbushin, Nikolai 3 Matthies, Karsten 3 Mishuris, Gennady S. 3 Morelli, Leonardo 3 Pelinovsky, Dmitry Efimovich 3 Puglisi, Giuseppe 3 Roubíček, Tomáš 3 Van Vleck, Erik S. 2 Abeyaratne, Rohan C. 2 Ayzenberg-Stepanenko, Mark V. 2 Buffoni, Boris 2 Dehghan Takht Fooladi, Mehdi 2 Deng, Guo 2 Făciu, Cristian 2 Giordano, Stefano 2 Hosseinzadeh, Hossein 2 Huo, Yongzhong 2 James, Guillaume 2 Lustri, Christopher J. 2 Mielke, Alexander 2 Molinari, Alain 2 Moore, Brian E. 2 Novak, Igor L. 2 Porter, Mason Alexander 2 Rosakis, Phoebus 2 Schneider, Guido 2 Schouten-Straatman, Willem M. 2 Sharma, Basant Lal 2 Shaw, John A. 2 Starosvetsky, Yuli 2 Stehlík, Petr 2 Xu, Haitao 2 Zanzotto, Giovanni 2 Zhang, Aijun 2 Zhen, Yubao 1 Alidousti, Javad 1 Avazzadeh, Zakieh 1 Balk, Alexander M. 1 Bělík, Pavel 1 Benedito, Manon 1 Bhattacharya, Kaushik 1 Biscari, Paolo 1 Blass, Timothy 1 Braides, Andrea 1 Breitman Rayzan, N. 1 Cannizzo, Andrea 1 Cardin, Franco 1 Chang, Bi-Chiau 1 Charlotte, Miguel 1 Chen, Fanzhi 1 Cuevas Maraver, Jesús 1 Dai, Hui-Hui 1 D’Annibale, Francesco 1 Dayal, Kaushik 1 de Rijk, Björn 1 Di Paola, Mario 1 Ding, Shurong 1 Dmitriev, Sergey V. 1 Dubinko, Volodymyr I. 1 Duran, Henry 1 Efendiev, Yalchin R. 1 Elliott, Ryan S. 1 Eskandari, Zohreh 1 Failla, Giuseppe 1 Faver, Timothy E. 1 Favretti, Marco 1 Florio, Giuseppe 1 Fonseca, Irene 1 Freistühler, Heinrich 1 Gaison, Jeremy 1 Gani, Vakhid A. 1 Garikipati, Krishna 1 Gavrilov, Serge N. 1 Gawlik, Aleksandra 1 Ge, Chuanfang 1 Geng, Jiansheng 1 Grinfeld, Michael 1 Guo, Shangjiang 1 Healey, Timothy J. 1 Hennig, Dirk 1 Hildebrand, Felix E. 1 Hilder, Bastian 1 Hristov, Nikolay 1 Hu, Zengyun 1 Iadicola, Mark A. 1 Iuorio, Annalisa 1 Jiang, Jinfeng 1 Jin, Lihua 1 Kamlah, Marc 1 Karachalios, Nikos I. 1 Klepka, Andrzej ...and 85 more Authors all top 5 Cited in 50 Serials 19 Journal of the Mechanics and Physics of Solids 15 Continuum Mechanics and Thermodynamics 8 Journal of Nonlinear Science 6 Physica D 5 Mathematics and Mechanics of Solids 5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 SIAM Journal on Applied Dynamical Systems 3 Acta Mechanica 3 Archive for Rational Mechanics and Analysis 3 Computer Methods in Applied Mechanics and Engineering 3 Nonlinearity 3 Wave Motion 3 Journal of Elasticity 3 SIAM Journal on Applied Mathematics 3 Discrete and Continuous Dynamical Systems 2 International Journal of Engineering Science 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Meccanica 2 Journal of Difference Equations and Applications 2 Communications in Nonlinear Science and Numerical Simulation 1 Computers & Mathematics with Applications 1 International Journal of Solids and Structures 1 Journal of Statistical Physics 1 Physics Letters. A 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Computation 1 Calcolo 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Applied Mathematical Modelling 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Dynamics 1 Nonlinear Analysis. Real World Applications 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Acta Mechanica Sinica 1 Journal of Physics A: Mathematical and Theoretical 1 Discrete and Continuous Dynamical Systems. Series S 1 Communications in Mathematics and Statistics 1 Mathematics in Engineering all top 5 Cited in 20 Fields 76 Mechanics of deformable solids (74-XX) 34 Partial differential equations (35-XX) 30 Dynamical systems and ergodic theory (37-XX) 23 Statistical mechanics, structure of matter (82-XX) 21 Ordinary differential equations (34-XX) 13 Mechanics of particles and systems (70-XX) 12 Numerical analysis (65-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Difference and functional equations (39-XX) 4 Fluid mechanics (76-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Biology and other natural sciences (92-XX) 3 Operator theory (47-XX) 3 Optics, electromagnetic theory (78-XX) 2 Integral equations (45-XX) 1 History and biography (01-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year