Progressive damage and quasibrittle solids
Résumé
We present a model of material degradation relying upon
a local damage law supplemented by convex constraints. This results
in a damage model with bounded variation that is shown to share the
same features of the so-called Thick Level Set approach. Unlike the original
model, in the present formulation the level set-based representation
is abandoned in favor of an implicit description of damaged regions,
whereby one arrives at a non-local Generalized Standard Model with convex
constraints. The solution of a one-dimensional problem demonstrate
the capabilities of the proposed approach when simulating initiation and
growth of damage in quasi-brittle materials.
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