Within the thermodynamics of irreversible processes and the concept of in ternal state variables, a general phenomenological theory of coupled damage-elasto- (visco)plasticity at small strains is given. The state variables (external and internal) are considered to evolve phenomenologically according to competing processes between ther mal and elastic properties, strain hardening (isotropic and kinematic) and continuous iso tropic damage. Using the classical isotropic Continuum Damage Mechanics (CDM), a new energy based coupling model is used to introduce the effect of the damage on elastic and anelastic (hardening) behaviors. Both time independent (plasticity) and time depen dent (viscoplasticity) cases are discussed in details.

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SUMMARYThe analysis of mechanical structures using the finite element method in the framework of large elastoplastic strain, needs frequent remeshing of the deformed domain during the computation. Indeed, the remeshing is due to the large geometrical distortion of finite elements and the adaptation to the physical behaviour of the solution as the plastic strain or the damage fields. This paper gives the necessary steps to remesh a mechanical structure during large elasto-plastic deformations with damage. An important part of this process concerns the geometrical and physical error estimates. The proposed method is integrated in a computational environment using the ABAQUS/Explicit solver and the BL2D-V2 adaptive mesher. After recalling the formulation of the elasto-plastic problem with damage, four types of applications using the proposed adaptive remeshing are given: orthogonal cutting, sidepressing of an infinite cylinder, blanking and backward extrusion with drilling.

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