Homogenization of a fully coupled thermoelasticity problem for a highly heterogeneous medium with a priori known phase transformations

摘要

We investigate a linear, fully coupled thermoelasticity problem for a highly heterogeneous, two-phase medium. The medium in question consists of a connected matrix with disconnected, initially periodically distributed inclusions separated by a sharp interface undergoing an a priori known interface movement because of phase transformations. After transforming the moving geometry to an E-periodic, fixed reference domain, we establish the well-posedness of the model and derive a number of E-independent a priori estimates. Via a two-scale convergence argument, we then show that the E-dependent solutions converge to solutions of a corresponding upscaled model with distributed time-dependent microstructures. Copyright (c) 2017 John Wiley & Sons, Ltd.