General equations of multiphase continuum mechanics for ablative composites

Abstract

Models of multiphase media mechanics have been considered in many works [1-14, 16-28, 30-34, etc.]. In the present chapter general relationships of multiphase media mechanics are developed for ablative composites. These are the key points: derivation of expressions for a phase transformation rate with the help of thermodynamical equations at a phase interface; and determination of the way in which constitutive relations depend on the characteristics of the natural configurations of phases. In the first four paragraphs the general case of finite deformations of phases is considered using, in the main, the Euler (space) description given in works [6, 16, 29, etc.]; and in the last paragraph the case of infinitesimal deformations of phases is analyzed.