Refereed Journal Articles and Book Chapters:
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A. Vainchtein, T. Healey, P. Rosakis and L. Truskinovsky. The role of spinodal
region in one-dimensional martensitic phase transitions. Physica D ,
115:29-48, 1998.
PDF
file.
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A. Vainchtein, T. Healey and P. Rosakis. Bifurcation and metastability
in a new one-dimensional model for martensitic phase transitions.
Computer
Methods in Applied Mechanics and Engineering , 170: 407-421, 1999.
PDF
file.
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A. Vainchtein and P. Rosakis. Hysteresis and stick-slip motion of phase
boundaries in dynamic models of phase transitions. Journal of Nonlinear
Science
, 9: 697-719, 1999.
PDF
file.
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A. Vainchtein. Dynamics of phase transitions and hysteresis in a viscoelastic
Ericksen's bar on an elastic foundation. Journal of Elasticity ,
57: 243-280, 1999. PDF
file.
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M. Lane, R.H. Dauskardt, A. Vainchtein and H. Gao. Plasticity contributions
to interface adhesion in thin-film interconnect structures.
Journal
of Materials Research , 15(12), 2758-2769, 2000.
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A. Vainchtein. Stick-slip motion of interfaces as a singular limit of the
viscosity-capillarity model. Mathematics and Mechanics of Solids ,
6(3): 323-341, 2001.
PDF
file.
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A. Vainchtein, P.A. Klein, H. Gao and Y. Huang. A strain-gradient Virtual-Internal-Bond
model. In Modeling and Simulation-based Life Cycle Engineering (eds.
S. Saigal, K.P. Chong, S.T. Thynell and H.S. Morgan), Spon Press, London,
pp 31-46, 2002.
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A. Vainchtein. Dynamics of non-isothermal martensitic phase transitions
and hysteresis. International Journal of Solids and Structures. 39:3387-3408,
2002. PDF file.
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A. Vainchtein. Non-isothermal kinetics of a moving phase boundary. Continuum
Mechanics and Thermodynamics.15(1): 1-19, 2003. PDF
file.
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L. Truskinovsky and A. Vainchtein. Peierls-Nabarro landscape for martensitic
phase transitions. Physical Review B, 2003, 67:172103.
PDF
file.
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L. Truskinovsky and A. Vainchtein. The origin of nucleation peak in transformational
plasticity. Journal of the Mechanics and Physics of Solids, 2004,
52: 1421-1446.
PDF
file.
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L. Truskinovsky and A. Vainchtein. Explicit kinetic relation from "first
principles". In Mechanics of Material Forces, editors P. Steinmann
and G.A. Maugin, Advances in Mechanics and Mathematics, pp. 43-50, Springer,
2005. PDF
file.
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L. Truskinovsky and A. Vainchtein. Quasicontinuum modeling of short-wave
instabilities in crystal lattices. Philosophical Magazine, 85: 4055-4065,
2005.
PDF
file.
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L. Truskinovsky and A. Vainchtein. Kinetics of martensitic phase transitions:
Lattice model. SIAM Journal on Applied Mathematics, 66(2): 533-553,
2005. PDF file.
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L. Truskinovsky and A. Vainchtein. Quasicontinuum models of dynamic phase
transitions. Continuum Mechanics and Thermodynamics, 18(1-2): 1-21,
2006. PDF file.
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B. L. Sharma and A. Vainchtein. Quasistatic propagation of steps along a
phase boundary. Continuum Mechanics and Thermodynamics, 19(6): 347-377,
2007. PDF file.
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Y. Zhen and A. Vainchtein. Dynamics of steps along a martensitic phase
boundary I: Semi-analytical solution. Journal of the Mechanics
and Physics of Solids, 56(2): 496-520, 2008.
PDF file.
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Y. Zhen and A. Vainchtein. Dynamics of steps along a martensitic phase
boundary II: Numerical simulations. Journal of the Mechanics
and Physics of Solids, 56(2): 521-541, 2008.
PDF file.
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L. Truskinovsky and A. Vainchtein. Dynamics of martensitic phase boundaries: discreteness,
dissipation and inertia. Continuum Mechanics and Thermodynamics, in press, 2008.
PDF file.
Conference Proceedings:
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H. Gao, A. Vainchtein, P.A. Klein and E.P. Chen. Introducing a length scale
into modeling of fracture via a strain-gradient elasticity theory. In Advances
in Computational Engineering and Sciences (S.N. Atluri and F.W. Brust,
eds.), International Conference on Computational Engineering and Sciences,
pp. 1766-1771, 2000.
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H. Gao and A. Vainchtein. Higher-order gradient elasticity theories of
fracture, Mechanics 2000 (Y. Bai and W. Yang, eds.), Beijing, pp.
64-69, 2000.
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P.A. Klein, H. Gao, A. Vainchtein, H. Fujimoto, J. Lee and Q. Ma. Micromechanics-based
modeling of interfacial debonding in multilayer structures. Materials
Research Society Symposium Proceedings, vol. 594, pp. 371-376, 2000.
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A. Vainchtein. Kinetics of lattice phase transitions. Oberwolfach
Report No. 55/2004, pp. 3017-3019, 2005.
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Y. Zhen and A. Vainchtein. Motion and nucleation of steps along a phase boundary.
Proceedings of 5th International Conference on Nonlinear Mechanics (ICNM-V),
Shanghai University Press, Shanghai, pp. 1457-1463, 2007.
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A. Vainchtein. Dynamics of steps along a phase boundary. Oberwolfach
Report No. 58/2007, 2007.