Pseudo-potentials and bipotential: a constructive procedure for non-associated plasticity and unilateral contact - École des Ponts ParisTech Access content directly
Journal Articles Discrete and Continuous Dynamical Systems - Series S Year : 2013

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

Nelly Point
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  • PersonId : 884962
Silvano Erlicher
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  • PersonId : 947903

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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Dates and versions

hal-00938245 , version 1 (29-01-2014)

Identifiers

  • HAL Id : hal-00938245 , version 1

Cite

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, 2013, 6 (2), pp.567. ⟨hal-00938245⟩
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