A rate-independent model for the isothermal quasi-static evolution of shape-memory materials
Please always quote using this URN:urn:nbn:de:0296-matheon-7665
- This note addresses a three-dimensional model for isothermal stress-induced transformation in shape-memory polycrystalline materials. We treat the problem within the framework of the energetic formulation of rate-independent processes and investigate existence and continuous dependence issues at both the constitutive relation and quasi-static evolution level. Moreover, we focus on time and space approximation as well as on regularization and parameter asymptotics.
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| Author: | Ferdinando Auricchio, Alexander Mielke, Ulisse Stefanelli |
|---|---|
| URN: | urn:nbn:de:0296-matheon-7665 |
| Referee: | Carsten Carstensen |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2011/01/27 |
| Release Date: | 2011/01/27 |
| Tag: | |
| Institute: | Humboldt-Universität zu Berlin |
| Research Center Matheon | |
| Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) | |
| MSC-Classification: | 49-XX CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] / 49Jxx Existence theories / 49J40 Variational methods including variational inequalities [See also 47J20] |
| 74-XX MECHANICS OF DEFORMABLE SOLIDS / 74Cxx Plastic materials, materials of stress-rate and internal-variable type / 74C05 Small-strain, rate-independent theories (including rigid-plastic and elasto-plastic materials) | |
| Preprint Number: | 765 |
