Abstract
The quasi-static evolution of an elastoplastic body with a multi-surface constitutive law of linear kinematic hardening type allows the modelling of curved stress-strain relations. It generalizes classical small-strain elastoplasticity from one to various plastic phases. This paper presents the mathematical models and proves existence and uniqueness of the solution of the corresponding initial-boundary value problem. The analysis involves an explicit estimate for the effective ellipticity constant.
| Original language | English |
|---|---|
| Pages (from-to) | 1697-1710 |
| Number of pages | 14 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 27 |
| Issue number | 14 |
| DOIs | |
| State | Published - 25 Sep 2004 |
Keywords
- Elastoplasticity
- Kinematic hardening
- Multi-surface model
- Prandtl-Ishlinskii model
- Rate independence
- Variational inequalities