A general model is formulated for elasto-plastic materials undergoing linear kinematic hardening to describe microstructure evolution associated with phase transformations. Using infinitesimal strain theory, the model is based on variational principles for inelastic materials. In our work we combine the so-called dissipation distance, which describes an immediate phase transition in time via an underlying probability matrix. In addition, the volume fractions of the newly emerging phases are represented by Young measures to obtain a time continuous microstructure evolution. The model is verified employing a two-dimensional benchmark test implemented by the Finite Element Method (FEM).

翻译：本文针对经历线性运动硬化的弹塑性材料，建立了一个描述相变相关微结构演化的通用模型。该模型基于无穷小应变理论，采用非弹性材料的变分原理构建。研究中我们结合了所谓的耗散距离，该距离通过基础概率矩阵描述时间上的瞬时相变。此外，新生成相的体积分数用杨氏测度表示，以获得时间连续的微结构演化。模型通过有限元法（FEM）实现的二维基准测试进行了验证。