Quasi-static Evolution for a Model in Strain Gradient Plasticity
β Scribed by Giacomini, Alessandro; Lussardi, Luca
- Book ID
- 118197709
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2008
- Tongue
- English
- Weight
- 446 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0036-1410
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It is well known that, due to the absence of an intrinsic length scale, conventional rate-independent plasticity theories fail to explain the size effects observed in problems such as shear-flow localization, nanoindentation tests and precipitate hardening. Consequently, several new nonlocal/gradien
## Abstract This paper investigates the mathematical wellβposedness of the variational model of quasiβstatic growth for a brittle crack proposed by Francfort and Marigo in [15]. The starting point is a time discretized version of that evolution which results in a sequence of minimization problems o