An asymmetric least-squares mixed finite element for elasto-plasticity at small strains

In: Proceedings in Applied Mathematics and Mechanics, Jg. 9 (2009) ; 1, Special Issue: 80th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Gdansk 2009, S. 235-236
ISSN: 1617-7061
Zeitschriftenaufsatz / Fach: Bauwissenschaften
Abstract:
We present a mixed finite element based on a modified least-squares formulation for rate-independent elasto-plasticity. Due to kink-like points in the least-squares functional, the first variation is not always continuous and a standard Newton method could fail in order to minimize the least-squares functional. In order to keep the availability of the Newton method, we introduce a modified least-squares approach, which guarantees the continuity of the resulting weak form. Finally, a numerical example is presented to show the applicability and performance.