A Linear Complementarity formulation of rate-independent finite-strain elastoplasticity. Part II: Calculation of bifurcation and limit points

A methodology for the numerical solution of discretized boundary value problems that involve rate-independent, elastic-plastic finite-strain models is developed. The formulation is given in terms of a structural Linear Complementarity Problem. A methodology for the determination of bifurcation and limit points along an equilibrium path is described. The proposed method is suited particularly for plasticity models that involve yield surfaces with singular points (corners, edges, apexes, etc.).

► Large-strain elastic–plastic rate BVP formulated as a LCP.
► LCP integrated exploiting the physical meaning of the involved variables.
► Detection of critical points from the rate equations written in terms of a LCP.