Relaxation of rate-independent evolution problems
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 0308-2105Full text not available from this repository.
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|
|Number of Pages:||19|
|Page Range:||pp. 463-481|
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