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Article Dans Une Revue Computers & Structures Année : 2003

General formulation for local integration in standard elastoplasticity with an arbitrary hardening model.

Résumé

This paper describes a general method for deriving the plastic corrections and the consistent tangent modulus for a wide range of arbitrary non-linear hardening models within the framework of standard small strains elastoplasticity. The features of the proposed formulation are: (i) the local solution is obtained through an iterative procedure. The plastic corrections are given in closed forms exhibiting one scalar function denoted by G(alg) and three fourth-order tensors D-alg, G(alg), L-alg, which are shown to be the algorithmic discrete counterparts of usual theoretical continuum quantities, (ii) the consistent tangent modulus has a symmetrical expression involving the same quantities. Finite element computations are performed using a particular non-linear kinematic hardening model and allow to exhibit the ratcheting phenomenon usually observed on mechanical components. subjected to cyclic loadings.
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hal-01006917 , version 1 (06-10-2016)

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Anh Le Van, Géry de Saxcé, Philippe Le Grognec. General formulation for local integration in standard elastoplasticity with an arbitrary hardening model.. Computers & Structures, 2003, 81 (21), pp.2099-2109. ⟨10.1016/S0045-7949(03)00256-6⟩. ⟨hal-01006917⟩
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