An enhanced error estimator on the constitutive relation for plasticity problems

L. Gallimard (1) , P. Ladevèze (1) , J.P. P Pelle (1)

1 LMT - Laboratoire de Mécanique et Technologie

This paper presents an extension to plasticity problems of a new error estimator on the constitutive relation which was introduced by P. Ladevèze in a recent paper. Numerical experiments show that this enhanced error estimator can lead to a significant improvement in the effectivity indexes in the case of anisotropic meshes, or when perfect plasticity is approached.

Mots clés: Finite element method; Error estimator; Plasticity; Statically admissible stress ®elds; Error on the constitutive relation; Effectivity indexes

Domaines: Sciences de l'ingénieur [physics]

L. Gallimard, P. Ladevèze, J.P. P Pelle. An enhanced error estimator on the constitutive relation for plasticity problems. Computers & Structures, 2000, 78 (6), pp.801 - 810. ⟨10.1016/S0045-7949(00)00056-0⟩. ⟨hal-01689614⟩