Abstract
Multi-yield elastoplasticity models a material with more than one plastic state and hence allows for refined approximation of irreversible deformations. Aspects of the mathematical modelling and a proof of unique existence of weak solutions can be found in part I of this paper (Math. Models Methods Appl. Sci. 2004). In this part II we establish a canonical time-space discretization of the evolution problem and present various algorithms for the solving really discrete problems. Based on a global Newton-Raphson solver, we carefully study and solve elementwise inner iterations. Numerical examples illustrate the model and its flexibility to allow for refined hysteresis curves.
Original language | English |
---|---|
Pages (from-to) | 881-901 |
Number of pages | 21 |
Journal | Mathematical Methods in the Applied Sciences |
Volume | 28 |
Issue number | 8 |
DOIs | |
State | Published - 25 May 2005 |
Keywords
- Elastoplasticity
- Finite element method
- Hysteresis
- Multi-yield Prandtl-Ishlinskii model
- Phase transition multi-surface model
- Variational inequalities