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Homogenization of a fully coupled thermoelasticity problem for a highly heterogeneous medium with a priori known phase transformations
University of Bremen.
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science.ORCID iD: 0000-0002-1160-0007
2016 (English)In: Mathematical methods in the applied sciences, ISSN 0170-4214, E-ISSN 1099-1476Article in journal (Refereed) Published
Abstract [en]

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
2016.
Keyword [en]
homogenization; two-phase thermoelasticity; two-scale convergence; time-dependent domains; distributed microstructures
National Category
Natural Sciences
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-47159DOI: 10.1002/mma.4276OAI: oai:DiVA.org:kau-47159DiVA: diva2:1046698
Available from: 2016-11-14 Created: 2016-11-14 Last updated: 2017-03-28Bibliographically approved

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