TEMPERATURES OF PHASE TRANSITIONS AND QUASICONVEX HULL OF ENERGY FUNCTIONALS FOR A TWO-PHASE ELASTIC MEDIUM WITH ANISOTROPIC RESIDUAL STRAIN TENSOR

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.