Mouvement permanent d'une fissure en milieu élasto-plastique

The stress and strain distribution around a crack tip is considered for a steady motion of a linear crack in an elastic-plastic medium in mode I loading. The objective of the calculation is to check by numerical simulation that the crack driven force is zero. The governing equations are given for a steady motion. This problem leads to the discussion on an elastic problem with nonlocal constitutive equations

Méthodes énergétiques en mécanique de la rupture

The problem of plane crack extension is discussed within the classical thermodynamic description. The expression of the intrinsic dissipation is given. The thermodynamic crack driven force is introduced. The cases of elastic, visco-elastic or plastic materials are considered

On the elastic-plastic initial-boundary value problem and its numerical integration

An iterative method is proposed for the numerical analysis of an elastic-plastic solid. This method gives after convergence an implicit scheme of integration of the elastic plastic response. It can be applied in perfect plasticity as in hardening plasticity. The proof of convergence is given under the assumption of positive gardening for the generalized standard materials. Some numerical examples by the finite element method are given