4. Micro-mechanical constituent relationships

Micro-mechanical constitutive relations are based on homogenization methods designed to express a behavior law on the macroscopic scale (of the VER) from a description of mechanical behavior on the microscopic scale.

A distinction is made between periodic homogenization methods, where the material can be represented as a repetition of a typical elementary cell at a given step in space, and so-called "statistical" homogenization methods , where the heterogeneities making up the material are assumed to be randomly distributed in space (i.e. it is not possible to give a precise description of the microstructure,...