Temperatures of Phase Transitions and Quasiconvex Hull Of Energy Functionals for a Two-Phase Elastic Medium with Anisotropic Residual Strain Tensor

被引:0
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作者
Osmolovskii V.G. [1 ]
机构
[1] St. Petersburg State University, 28, Universitetskii pr., Petrodvorets, St. Petersburg
关键词
Phase Transition; Surface Tension; Energy Density; Weak Solution; Variational Problem;
D O I
10.1007/s10958-015-2246-3
中图分类号
学科分类号
摘要
For a two-phase elastic medium with anisotropic residual strain tensors we compute the phase transition temperatures t±. We find an explicit expression for the quasiconvex hull of strain energy densities and obtain all solutions to the relaxed variational problem and limit points of equilibrium states as the surface tension coefficient tends to zero. We show that there are no equilibrium states for the initial energy functional if t ∈ (t−, t+). Bibliography: 18 titles. © 2015, Springer Science+Business Media New York.
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页码:255 / 266
页数:11
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