r5.03.27 Mechanical behaviors for numerical simulations

Summary:

The behavior of the material is an essential input in most mechanical studies. In a numerical simulation, this behavior is taken into account by means of a more or less complex model, which is supposed to reproduce the behavior of the real material in a sufficiently precise manner. The parameters controlling the model will have been adjusted beforehand based on experimental data.

As any model is a simplified and inaccurate representation of reality, it is essential to ensure that the formulation choices as well as the set of parameters chosen are relevant for the entire field of solicitations characterizing the study.

As soon as we get out of simple cases where we can be satisfied with linear elastic behavior or with plastic behavior with isotropic work hardening, the choice of a behavior model and its calibration for a given material is a long and delicate process, which requires the availability of relevant experimental data that is not always easy to collect.

This document is complementary to [U2.04.03] which gives advice to a user wishing to perform calculations with non-linear behaviors of the elasto-plastic or elasto-visco-plastic type in order to choose a law adapted to the models envisaged.

• 1. A few reminders on mechanical behavior
  • 1.1. Elasticity and plasticity
  • 1.2. Influence of temperature
  • 1.3. Viscosity
  • 1.4. Cyclical behavior
  • 1.5. Static restore
  • 1.6. Memory effect
  • 1.7. Over-work hardening
  • 1.8. Isotropic and kinematic work hardening
• 2. Taking mechanical behavior into account in numerical simulations
• 3. Bibliography
• 4. Document version history