Procedure of numerical simulation of martensitic phase transformation processes in small volumes of materials when deformed in diamond anvils

Abstract

A model, algorithm, and software for a finite-element simulation of the martensitic phase transformation in a small volume of a sample material in the deformation under quasihydrostatic conditions (in a gasket without a pressure medium) in diamond anvils of a superhigh-pressure apparatus have been developed. The model is based on the thermomechanical theory of the phase transformations in inelastic materials formulated by Prof. Levitas. The algorithm has been proposed of the simulation of the phase transformation kinetics that consists of the cyclic solution of a contact elastoplastic problem, estimation of the possibility for the phase transformation, and of the repeated solution of the problem with the allowance made for the phase deformation.