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A Vainchtein - Publications

Affiliations: 
University of Pittsburgh, Pittsburgh, PA, United States 
Area:
Applied Mathematics, Materials Science Engineering
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33 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2023 Duran H, Cuevas-Maraver J, Kevrekidis PG, Vainchtein A. Discrete breathers in a mechanical metamaterial. Physical Review. E. 107: 014220. PMID 36797898 DOI: 10.1103/PhysRevE.107.014220  0.389
2022 Gorbushin N, Vainchtein A, Truskinovsky L. Transition fronts and their universality classes. Physical Review. E. 106: 024210. PMID 36109908 DOI: 10.1103/PhysRevE.106.024210  0.372
2020 Vainchtein A. Rarefactive lattice solitary waves with high-energy sonic limit. Physical Review. E. 102: 052218. PMID 33327111 DOI: 10.1103/PhysRevE.102.052218  0.514
2019 Truskinovsky L, Vainchtein A. Strictly supersonic solitary waves in lattices with second-neighbor interactions Physica D: Nonlinear Phenomena. 389: 24-50. DOI: 10.1016/J.Physd.2018.10.001  0.494
2018 Xu H, Cuevas-Maraver J, Kevrekidis PG, Vainchtein A. An energy-based stability criterion for solitary travelling waves in Hamiltonian lattices. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 376. PMID 29507176 DOI: 10.1098/Rsta.2017.0192  0.513
2018 Vainchtein A. Solitary wave propagation in a two-dimensional lattice Wave Motion. 83: 12-24. DOI: 10.1016/J.WAVEMOTI.2018.08.004  0.46
2018 Starosvetsky Y, Vainchtein A. Solitary waves in FPU lattices with alternating bond potentials Mechanics Research Communications. 93: 148-153. DOI: 10.1016/J.MECHRESCOM.2017.10.007  0.367
2017 Cuevas-Maraver J, Kevrekidis PG, Vainchtein A, Xu H. Unifying perspective: Solitary traveling waves as discrete breathers in Hamiltonian lattices and energy criteria for their stability. Physical Review. E. 96: 032214. PMID 29346986 DOI: 10.1103/Physreve.96.032214  0.471
2016 Vainchtein A, Starosvetsky Y, Wright JD, Perline R. Solitary waves in diatomic chains. Physical Review. E. 93: 042210. PMID 27176296 DOI: 10.1103/PhysRevE.93.042210  0.467
2016 Duanmu M, Whitaker N, Kevrekidis PG, Vainchtein A, Rubin JE. Traveling wave solutions in a chain of periodically forced coupled nonlinear oscillators Physica D: Nonlinear Phenomena. 325: 25-40. DOI: 10.1016/J.Physd.2016.02.001  0.542
2015 Vainchtein A, Van Vleck ES, Zhang A. Propagation of periodic patterns in a discrete system with competing interactions Siam Journal On Applied Dynamical Systems. 14: 523-555. DOI: 10.1137/140969348  0.421
2014 Truskinovsky L, Vainchtein A. Solitary waves in a nonintegrable Fermi-Pasta-Ulam chain. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 90: 042903. PMID 25375563 DOI: 10.1103/Physreve.90.042903  0.403
2014 Liu L, Vainchtein A, Wang Y. Kinetics of a twinning step Mathematics and Mechanics of Solids. 19: 832-851. DOI: 10.1177/1081286513490187  0.467
2013 Rosakis P, Vainchtein A. New solutions for slow moving kinks in a forced frenkel-kontorova Chain Journal of Nonlinear Science. 23: 1089-1110. DOI: 10.1007/S00332-013-9180-7  0.334
2012 Vainchtein A, Kevrekidis PG. Dynamics of phase transitions in a piecewise linear diatomic chain Journal of Nonlinear Science. 22: 107-134. DOI: 10.1007/S00332-011-9110-5  0.593
2012 Trofimov E, Vainchtein A. Erratum to: Shocks versus kinks in a discrete model of displacive phase transitions Continuum Mechanics and Thermodynamics. 25: 107-108. DOI: 10.1007/s00161-012-0276-3  0.45
2010 Vainchtein A. Effect of nonlinearity on the steady motion of a twinning dislocation Physica D: Nonlinear Phenomena. 239: 1170-1179. DOI: 10.1016/j.physd.2010.03.007  0.324
2010 Vainchtein A. The role of spinodal region in the kinetics of lattice phase transitions Journal of the Mechanics and Physics of Solids. 58: 227-240. DOI: 10.1016/j.jmps.2009.10.004  0.613
2009 Vainchtein A, Van Vleck ES. Nucleation and propagation of phase mixtures in a bistable chain Physical Review B - Condensed Matter and Materials Physics. 79. DOI: 10.1103/PhysRevB.79.144123  0.478
2008 Zhen Y, Vainchtein A. Dynamics of steps along a martensitic phase boundary II: Numerical simulations Journal of the Mechanics and Physics of Solids. 56: 521-541. DOI: 10.1016/j.jmps.2007.05.018  0.474
2008 Zhen Y, Vainchtein A. Dynamics of steps along a martensitic phase boundary I: Semi-analytical solution Journal of the Mechanics and Physics of Solids. 56: 496-520. DOI: 10.1016/j.jmps.2007.05.017  0.365
2008 Truskinovsky L, Vainchtein A. Dynamics of martensitic phase boundaries: Discreteness, dissipation and inertia Continuum Mechanics and Thermodynamics. 20: 97-122. DOI: 10.1007/S00161-008-0069-X  0.452
2007 Sharma BL, Vainchtein A. Quasistatic propagation of steps along a phase boundary Continuum Mechanics and Thermodynamics. 19: 347-377. DOI: 10.1007/s00161-007-0059-4  0.487
2006 Truskinovsky L, Vainchtein A. Kinetics of martensitic phase transitions: Lattice model Siam Journal On Applied Mathematics. 66: 533-553. DOI: 10.1137/040616942  0.642
2006 Truskinovsky L, Vainchtein A. Quasicontinuum models of dynamic phase transitions Continuum Mechanics and Thermodynamics. 18: 1-21. DOI: 10.1007/S00161-006-0018-5  0.433
2005 Truskinovsky L, Vainchtein A. Quasicontinuum modelling of short-wave instabilities in crystal lattices Philosophical Magazine. 85: 4055-4065. DOI: 10.1080/14786430500363270  0.495
2004 Truskinovsky L, Vainchtein A. The origin of nucleation peak in transformational plasticity Journal of the Mechanics and Physics of Solids. 52: 1421-1446. DOI: 10.1016/J.Jmps.2003.09.034  0.339
2003 Truskinovsky L, Vainchtein A. Peierls-Nabarro landscape for martensitic phase transitions Physical Review B - Condensed Matter and Materials Physics. 67: 1721031-1721034. DOI: 10.1103/Physrevb.67.172103  0.44
2003 Vainchtein A. Non-isothermal kinetics of a moving phase boundary Continuum Mechanics and Thermodynamics. 15: 1-19. DOI: 10.1007/s00161-002-0100-6  0.484
1999 Vainchtein A. Dynamics of phase transitions and hysteresis in a viscoelastic Ericksen's bar on an elastic foundation Journal of Elasticity. 57: 243-280. DOI: 10.1023/A:1007661727193  0.402
1999 Vainchtein A, Healey TJ, Rosakis P. Bifurcation and metastability in a new one-dimensional model for martensitic phase transitions Computer Methods in Applied Mechanics and Engineering. 170: 407-421. DOI: 10.1016/S0045-7825(98)00205-9  0.491
1999 Vainchtein A, Rosakis P. Hysteresis and stick-slip motion of phase boundaries in dynamic models of phase transitions Journal of Nonlinear Science. 9: 697-719. DOI: 10.1007/S003329900083  0.428
1998 Vainchtein A, Healey T, Rosakis P, Truskinovsky L. The role of the spinodal region in one-dimensional martensitic phase transitions Physica D: Nonlinear Phenomena. 115: 29-48. DOI: 10.1016/S0167-2789(97)00224-8  0.351
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