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In this paper we present a new general framework for anisotropicelastoplasticity at large strains. The new framework presents the followingcharacteristics: (1) It is valid for non-moderate large strains, (2) it isvalid for both elastic and plastic anisotropy, (3) its description in rate formis parallel to that of the infinitesimal formulation, (4) it is compatible withthe multiplicative decomposition, (5) results in a similar framework in anystress-strain work-conjugate pair, (6) it is consistent with the principle ofmaximum plastic dissipation and (7) does not impose any restriction on theplastic spin, which must be given as an independent constitutive equation.Furthermore, when formulated in terms of logarithmic strains in theintermediate configuration: (8) it may be easily integrated using a classicalbackward-Euler rule resulting in an additive update. All these properties areobtained simply considering a plastic evolution in terms of a corrector rate ofthe proper elastic strain. This formulation presents a natural framework forelastoplasticity of both metals and soft materials and solves the so-calledrate issue.

applied mathematical modelling

A new class of plastic flow evolution equations for anisotropic  multiplicative elastoplasticity based on the notion of a corrector elastic  strain rate