Refereed Journal Articles and Book Chapters:
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- A. Vainchtein. Dynamics of non-isothermal martensitic phase
transitions
and hysteresis. International Journal of Solids and
Structures. 39:3387-3408,
2002. PDF
file.
- A. Vainchtein. Non-isothermal kinetics of a moving phase
boundary. Continuum
Mechanics and Thermodynamics.15(1): 1-19, 2003. PDF
file.
- L. Truskinovsky and A. Vainchtein. Peierls-Nabarro landscape
for
martensitic
phase transitions. Physical Review B, 2003, 67:172103. PDF
file.
- 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.
- 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.
- L. Truskinovsky and A. Vainchtein. Quasicontinuum modeling of
short-wave
instabilities in crystal lattices. Philosophical Magazine,
85:
4055-4065,
2005. PDF
file.
- L. Truskinovsky and A. Vainchtein. Kinetics of martensitic
phase
transitions:
Lattice model. SIAM Journal on Applied Mathematics,
66(2):
533-553,
2005. PDF
file.
- L. Truskinovsky and A. Vainchtein. Quasicontinuum models of
dynamic
phase
transitions. Continuum Mechanics and Thermodynamics,
18(1-2):
1-21,
2006. PDF
file.
- 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.
- 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.
- 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.
- L. Truskinovsky and A. Vainchtein. Dynamics of martensitic
phase
boundaries: discreteness, dissipation and inertia. Continuum
Mechanics and Thermodynamics, 20(2): 97-122, 2008. PDF
file.
- A. Vainchtein and E. S. Van Vleck. Nucleation and propagation
of
phase
mixtures in a bistable chain. Physical
Review
B, 79(14): 144123, 2009. PDF
file.
- L. Truskinovsky and A. Vainchtein. Beyond kinetic relations. Continuum
Mechanics
and Thermodynamics, 22(6-8): 485-504,
2010. PDF
file
- A. Vainchtein. The role of spinodal region in the kinetics of
lattice phase transitions. Journal of the Mechanics and
Physics of Solids, 58(2): 227-240, 2010. PDF
file
- A. Vainchtein. Effect of nonlinearity on the steady motion of
a
twinning dislocation. Physica D, 239:1170-1179, 2010. PDF
file
- E. Trofimov and A. Vainchtein. Shocks versus kinks in a
discrete
model of displacive phase transitions. Continuum Mechanics
and
Thermodynamics, 22(5): 317-344, 2010. PDF
file
- A. Vainchtein and P. Kevrekidis. Dynamics of phase transitions
in
a piecewise linear diatomic chain. Journal
of Nonlinear Science, 22(1):107-134, 2012. PDF file
Conference Proceedings:
- 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.
- 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.
- 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.
- A. Vainchtein. Kinetics of lattice phase transitions. Oberwolfach
Report No. 55/2004, pp. 3017-3019, 2005.
- 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.
- A. Vainchtein. Dynamics of steps along a phase boundary. Oberwolfach
Report No. 58/2007, 2007.