r5.03.16 Relationship of elastoplastic behavior to linear and isotropic nonlinear kinematic work hardening. 3D modeling and plane constraints.

Summary:

This document describes a law of elastoplastic behavior with mixed work hardening, linear kinematics and nonlinear isotropic behavior. The equations to be solved to numerically integrate this behavioral relationship are specified, as well as the coherent tangent matrix.

This behavior can be used for 3D, 2D continuous media models (AXIS, C_ PLAN, D_ PLAN), and for models DKT, COQUE_3D and TUYAU.

• 1. Introduction
• 2. Model description
• 3. Integrating the behavioral relationship
• 4. Calculation of tangent stiffness
• 5. Identifying the characteristics of the material
• 6. Special case of plane stresses: calculation of \(\Delta\) p
• 7. Meaning of internal variables
• 8. Bibliography