Homogenization of a fully coupled thermoelasticity problem for a highly heterogeneous medium with a priori known phase transformations
2016 (English)In: Mathematical methods in the applied sciences, ISSN 0170-4214, E-ISSN 1099-1476Article in journal (Refereed) Published
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 prioriknown interface movement because of phase transformations. After transforming the moving geometry to an ϵ-periodic, fixed reference domain, we establish the well-posedness of the model and derive a number of ϵ-independent a priori estimates. Via a two-scale convergence argument, we then show that the ϵ-dependent solutions converge to solutions of a corresponding upscaled model with distributed time-dependent microstructures.
Place, publisher, year, edition, pages
homogenization; two-phase thermoelasticity; two-scale convergence; time-dependent domains; distributed microstructures
Research subject Mathematics
IdentifiersURN: urn:nbn:se:kau:diva-47159DOI: 10.1002/mma.4276OAI: oai:DiVA.org:kau-47159DiVA: diva2:1046698