Complete damage in elastic and viscoelastic media and its energetics
Please always quote using this URN:urn:nbn:de:0296-matheon-7622
- A model for the evolution of damage that allows for complete disintegration is addressed. Small strains and a linear response function are assumed. The ``flow rule'' for the damage parameter is rate-independent. The stored energy involves the gradient of the damage variable, which determines an internal length-scale. Quasi-static fully rate-independent evolution is considered as well as rate-dependent evolution including viscous/inertial effects. Illustrative 2-dimensional computer simulations are presented, too.
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| Author: | Alexander Mielke, Tomáš Roubíček, Jan Zeman |
|---|---|
| URN: | urn:nbn:de:0296-matheon-7622 |
| 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: | Research Center Matheon |
| Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) | |
| MSC-Classification: | 35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Kxx Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35] / 35K85 Linear parabolic unilateral problems and linear parabolic variational inequalities [See also 35R35, 49J40] |
| Preprint Number: | 761 |
