UNSPECIFIED (2002) Relaxation of rate-independent evolution problems. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 132 (Part 2). pp. 463-481. ISSN 0308-2105

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Abstract

The relaxation of certain time evolution problems is investigated. As a conceptually simple example, we study elastically deformable bodies that undergo martensitic phase transformations. The movement of the phase boundaries is hindered by dry friction. The fundamental problem is that the phase distribution forms a highly oscillatory microstructure in space. Therefore, it is desirable to derive a coarse-g-rained system that describes the effective properties. We introduce a concept of relaxation of the evolution system and apply it to the case where only two phases occur and the elastic energy is quadratic. Finally, we present a candidate for the relaxation in the general case.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Publisher:	ROYAL SOC EDINBURGH
ISSN:	0308-2105
Date:	2002
Volume:	132
Number:	Part 2
Number of Pages:	19
Page Range:	pp. 463-481
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/10978

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