Explicit integration scheme for generalized plasticity constitutive models with automatic error control
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An explicit algorithm for integrating Generalized Plasticity constitutive models is presented. This automatically divides the applied strain increment into subincrements using an estimate of the local error controlling the global integration error in the stress. The algorithm modifies the well known S. W. Sloan substepping scheme to account for Generalized Plasticity constitutive models, in which, unlike Classical Elastoplasticity, the yield surface is not explicitly defined. The integration scheme is described and results are presented for a rigid footing resting on a layer of specific Generalized Plasticity model for sands, in which a hyperelastic formulation is introduced to describe the reversible component of the soil response instead of the hypoelastic approach originally proposed. The explicit algorithm with automatic substepping and error control is shown to be reliable and efficient for these complex constitutive laws.
CitationStickle, M. M.; De la Fuente, P.; Oteo, C. Explicit integration scheme for generalized plasticity constitutive models with automatic error control. A: COMPLAS XI. "COMPLAS XI : proceedings of the XI International Conference on Computational Plasticity : fundamentals and applications". CIMNE, 2011, p. 1212-1221.