A Linear Complementarity formulation of rate-independent finite-strain elastoplasticity. Part I: Algorithm for numerical integration

Abstract A methodology for the numerical integration of rate-independent, elastic–plastic finite-strain models is developed. The methodology is based on the idea of local linearization of the yield surface that was proposed in Maier (1969) , adopted as the basis for an integration scheme in Hodge (1977) , and developed further in Franchi and Genna, 1984 , Franchi and Genna, 1987 , so far for small-strain problems only. The proposed algorithm is based on the solution of a local Linear Complementarity Problem and is suited particularly for plasticity models that involve yield surfaces with singular points (corners, edges, apexes, etc.).

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