On damage regularity defect nucleation modelling

The purpose of this article is to model defect nucleation. considered as a small volume which evolves damaged zone. damage described by transition zone can be sharp or continuous. In the first case, discontinuities occur and initiation based on bifurcation an equilibrium state. When continuous, continuous.The analysis considering different models damage, depending regularity imposed mechanical field. For each model, presence fields investigated. Consequences nucleation are illustrated particular structures: bars under extension spheres radial loading.