A new approach of graded damage modelling
Résumé
To prevent the problem of spurious localisation in damage mechanics, it is necessary to control the damage gradient
amplitude. The body is decomposed in three domains: the undamaged body where (d=0), the transition zone
(0+ łdł1) and the totally broken body (d=1). For the thick level set (TLS) model, damage is a function of the signed
distance to the surface d=0+. In this article, we propose to control the damage gradient using a convex internal
constraint. This point of view produces a new description of graded damage. Analytical solutions on spheres and
cylinders under radial loading are given and discussed. For particular internal constraints, the TLS results are recovered.