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