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Pseudo-potentials and bipotential: a constructive procedure for non-associated plasticity and unilateral contact

Nelly Point 1 Silvano Erlicher
1 Dynamique des structures et identification
navier umr 8205 - Laboratoire Navier
Abstract : Pseudo-potentials are very useful tools to define thermodynamically admissible constitutive rules. Bipotentials are convenient for numerical purposes, in particular for non-associative rules. Unfortunately, these functionals are not always easy to construct starting from a given constitutive law. This work proposes a procedure to find the pseudo-potentials and the bipotential starting from the usual description of a non-associative constitutive law. This method is applied to different non-associative plasticity models such as the Drucker-Prager model and the non-linear kinematic hardening model. The same procedure allows one to obtain the pseudo-potentials of an endochronic plasticity model. The pseudo-potentials for the contact problem with dissipation are constructed using the same ideas. For all these non-associative constitutive laws a bipotential is then automatically deduced.
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https://hal-enpc.archives-ouvertes.fr/hal-00938245
Contributeur : Nelly Point <>
Soumis le : mercredi 29 janvier 2014 - 11:18:59
Dernière modification le : vendredi 17 juillet 2020 - 17:09:09

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  • HAL Id : hal-00938245, version 1

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Nelly Point, Silvano Erlicher. Pseudo-potentials and bipotential: a constructive procedure for non-associated plasticity and unilateral contact. Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2013, 6 (2), pp.567. ⟨hal-00938245⟩

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