Computational plasticity and viscoelasticity in the mirror: Small and large strain formulations based on hyperelasticity and elastic corrector rates.

Prof Francisco Javier Montans (Universidad Politécnica de Madrid)

Thursday 10th November, 2022 14:00-15:00 Maths 311B / ZOOM (ID: 847 8173 5306)

Abstract

Associative classical formulations of plasticity and viscoelasticity are based on yield functions and flow rates for plastic or viscous strains derived from those yield functions. At small strains, current computational algorithms are based on subsequent predictor-corrector phases which result in the noniterative radial return algorithm for backward Euler integration in Mises plasticity. For long, this simplicity has been pursued for large strains, introducing ad-hoc integration rules as the exponential mapping. In this presentation we change the focus from the plastic (dissipative) part to the (hyper-) elastic contribution, showing that many theoretical difficulties are naturally solved just changing the focus to elastic measures, and the resulting additive, noniterative radial return algorithm is recovered for large strains. We show extensions to anisotropy, nonlinear kinematic hardening, strain-dependent viscoelasticity and crystal plasticity.

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