The dynamics of transition layers in solids with discontinuous chemical potentials

Abstract

SUMMARYWe derive a two-phase segregation model in solids under isothermal conditions where due to plastic e ects the number of vacancies changes when crossing a transition layer, i.e. a reconstitutive phase transition. We show the thermodynamic correctness of the model and review the existence of weak solutions in suitable spaces. By a formal asymptotic analysis we study the dynamics of the interface and its dependence on the unsymmetric vacancy distribution.

Mathematical analysis of a solution method for finite-strain holonomic plasticity of Cosserat materials

“…As a result of plastic deformation due to structural changes within the material like the increase of immobilized dislocations inside the lattice structure, hardening occurs, [42,43]. It is assumed throughout the text that plastic deformations only occur along one a-priori given material-dependent single-slip system, specified by a normal vector n and a slip vector m with |m| = |n| = 1 and m •n = 0, see [44].…”