Nonuniqueness and stability in problems of equilibrium of elastic two-phase bodies

Victor A. Eremeev (1) , Alexander B. Freidin (2) , Leah L. Sharipova (2)

1 Faculty of Mechanics and Mathematics
2 Institute for Problems in Mechanical Engineering

Interfaces in martensitic transformations can be treated as strain-discontinuity surfaces, where, in addition to the ordinary kinematic and force conditions, an additional thermodynamic condition must be satisfied [1-4]. This condition restricts the geometry of the interfaces [5-8]. Being a problem with an unknown boundary, the problem of determination of equilibrium two-phase configurations has as a rule several solutions; ie, different equilibrium two-phase structures can correspond to the same boundary conditions. In this case, locally stable.

Domaines: Mécanique [physics.med-ph]

Victor A. Eremeev, Alexander B. Freidin, Leah L. Sharipova. Nonuniqueness and stability in problems of equilibrium of elastic two-phase bodies. Doklady Physics, 2003, 48 (7), pp.359-363. ⟨hal-00826484⟩