An improved implicit return-mapping scheme for nonsmooth yield surfaces is suggested in this paper. It is based on a subdifferential formulation of the flow rule that does not require special treatment at singular points (apices, edges, etc.). Although the flow direction is multivalued in such a case, it is shown that the suggested scheme leads to solving a unique system of nonlinear equations similarly as for smooth yield surfaces. Improved return-mapping schemes of several elastoplastic models containing nonassociative plastic flow rules and nonlinear isotropic hardening laws are introducedtogether with the corresponding consistent tangent operators.
CitationCermak, Martin; Sysala, Stanislav. How to simplify return-mapping algorithms in computational plasticity: part 1 - main idea. A: COMPLAS XIII. "COMPLAS XIII : proceedings of the XIII International Conference on Computational Plasticity : fundamentals and applications". CIMNE ed. Barcelona: CIMNE, 2015, p. 843-854.
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