An asymmetric Least-Squares Mixed Finite Element for Elasto-Plasticity at Small Strains |
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| Authors: | Alexander Schwarz Jörg Schröder |
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| Affiliation: | Universität Duisburg-Essen, Fakultät für Ingenieurwissenschaften, Abt. Bauwissenschaften, Institut für Mechanik, Universitätsstr. 15, D-45117 Essen |
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| 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. (© 2009 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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