Elastic-plastic ductile damage model based on strain-rate plastic potential

Tudor Balan (1) , Oana Cazacu (2)

1 LEM3 - Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux
2 MAE - Department of Mechanical and Aerospace Engineering [Shalimar]

Modeling of ductile damage is generally done using analytical potentials, which are expressed in the stress space. In this paper, for the first time it is shown that strain rate potentials which are exact conjugate of the stress-based potentials can be instead used to model the dilatational response of porous polycrystals. A new integration algorithm is also developed. It is to be noted that a strain-rate based formulation is most appropriate when the plastic flow of the matrix is described by a criterion that involves dependence on all stress invariants. In such cases, although a strain-rate potential is known, the stress-based potential cannot be obtained explicitly. While the proposed framework based on strain-rate potentials is general, for comparison purposes in this work we present an illustration of the approach for the case of a porous solid with von Mises matrix containing randomly distributed spherical cavities. Comparison between simulations using the strain-rate based approach and the classical stress-based Gurson’s criterion in uniaxial tension is presented. These results show that the model based on a strain-rate potential predicts the dilatational response with the same level of accuracy.

Mots clés: Porous solids; Strain rate potential; Spherical voids; Plasticity-damage couplings

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

Tudor Balan, Oana Cazacu. Elastic-plastic ductile damage model based on strain-rate plastic potential. Mechanics Research Communications, 2013, 54, pp.21-26. ⟨10.1016/j.mechrescom.2013.09.006⟩. ⟨hal-01192843⟩