Constitutive Relation Error Estimators and Adaptivity in Structural Engineering

Pierre Ladevèze (1)

1 LMT - Laboratoire de Mécanique et Technologie

The basic aspects of error estimators based on residuals on the constitutive relations which have been developed for the past 20 years in particular at Cachan are given. The crucial point is detailed; it is the construction of equilibrated stress fields from the computed finite element solution and the data. Adaptive computational strategies are also described and applied to 2 and 3D engineering examples.

Mots clés: Error estimator; Adaptivity; Finite element; Elasticity; Plasticity; Damage; Dynamic; Modelling error; Model updating

Domaines: Mécanique [physics.med-ph]

Pierre Ladevèze. Constitutive Relation Error Estimators and Adaptivity in Structural Engineering. Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics, Springer Vienna, pp.257-319, 2005, 9783211380604. ⟨10.1007/3-211-38060-4_5⟩. ⟨hal-04508069⟩