Nonlocal constitutive equations of elasto-visco-plasticity coupled with damage and temperature

Weijie Liu (1, 2) , Carl Labergere (1) , Houssem Badreddine (1) , Samuel Forest (3) , Ping Hu (3)

1 LASMIS - Laboratoire des Systèmes Mécaniques et d'Ingénierie Simultanée
2 Dalian University of Technology
3 CDM - Centre des Matériaux

In this paper, the nonlocal anisothermal elasto-visco-plastic constitutive equations strongly coupled with ductile isotropic damage, nonlinear isotropic hardening and kinematic hardening are developed to model the material behaviour under finite strain. The new micromorphic variable of damage is introduced into the principle of virtual power and new additional balance equations are obtained. Thermodynamically-consistent nonlocal constitutive equations are then deduced. The evolution equations are deduced from the generalized normality rule for the Norton-Hoff visco-plastic potential. This model is used to simulate various material responses under different velocities at high temperature. The micromorphic parameters of damage: micromorphic density and H moduli are studied to examine the effects of micromorphic damage. Biaxial tension is performed to make a comparison between the local damage model and the micromorphic damage model.

Domaines: Mécanique des matériaux [physics.class-ph]

Weijie Liu, Carl Labergere, Houssem Badreddine, Samuel Forest, Ping Hu. Nonlocal constitutive equations of elasto-visco-plasticity coupled with damage and temperature. NUMIFORM 2016: The 12th International Conference on Numerical Methods in Industrial Forming Processes, Jul 2016, Troyes, France. pp.01002, ⟨10.1051/matecconf/20168001002⟩. ⟨hal-02279659⟩