r5.03.07 Rousselier model for ductile fracture

Summary

The Rousselier model describes damage due to the plastic growth of cavities in a metal. It makes it possible to model ductile cracking and breakage. The behavioral relationship is elastoplastic or viscoplastic with isotropic work hardening. It allows changes in plastic volume and is written in small deformations. Writing in large deformations with a modified Simo and Miehe formulation, in the elastoplastic case only, is described in [R5.03.06].

This model is available in command STAT_NON_LINE using the RELATION =” ROUSS_PR “or” ROUSS_VISC “keyword under the key factor COMPORTEMENT and with the keyword DEFORMATION =” PETIT_REAC”.

This model is implemented for three-dimensional (3D), axisymmetric (AXIS), and axisymmetric () modeling, in plane constraints and in plane deformations (C_ PLAN, D_ PLAN).

The writing and numerical processing of this model are presented.

• 1. Introduction
• 2. Notations
• 3. Rousselier model
  • 3.1. Derivation of model equations
  • 3.2. Model equations
• 4. Numerical formulation
  • 4.1. Keywords, material data and internal variables
  • 4.2. Expression of the discretized model
  • 4.3. Solving the nonlinear scalar equation
  • 4.4. Behavior tangent matrix expression
• 5. Bibliography
• 6. Features and verification
• 7. Description of document versions