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Author ID: vainchtein.anna Recent zbMATH articles by "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

Publications by Year

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 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

Citations by Year