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

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, 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.).