Linearized plasticity is the evolutionary Gamma limit of finite plasticity
- Mielke, Alexander
- Stefanelli, Ulisse
2010 Mathematics Subject Classification
- 74C15 49J45
- Finite-strain elastoplasticity, linearized elastoplasticity, Gamma-convergence, rate-independent processes
We provide a rigorous justification of the classical linearization approach in plasticity. By taking the small-deformations limit, we prove via Gamma-convergence for rate-independent processes that energetic solutions of the quasi-static finite-strain elastoplasticity system converge to the unique strong solution of linearized elastoplasticity
- J. Eur. Math. Soc. (JEMS), 15 (2013) pp. 923--948.