3. Pitfalls to avoid when using non-linear behavior laws

3.1 Resolution principle

After discussing laws for representing the non-linear behavior of civil engineering materials, and illustrating these with examples, this section looks at the integration of these models into a calculation code, more specifically within the framework of the Finite Element (FE) method.

In order to follow the evolution of the state of the structure under study and the non-linearities developing in the material, a classical approach consists in analyzing the problem incrementally. We move from a known "physical" state of structure i with the material characterized by variables (ε _i , σ _i , α _i ), with α...