Progressive damage and quasibrittle solids

Nunziante Valoroso (1) , Claude Stolz (2, 3)

1 PARTHENOPE - Università degli Studi di Napoli “Parthenope” = University of Naples
2 GeM - Institut de Recherche en Génie Civil et Mécanique
3 IMSIA - UMR 9219 - Institut des Sciences de la mécanique et Applications industrielles

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.

Mots clés: damage; regularization; convex constraints

Domaines: Mécanique [physics.med-ph]; Mécanique des solides [physics.class-ph]

Nunziante Valoroso, Claude Stolz. Progressive damage and quasibrittle solids. AIMETA XXIV Congresso asosiazione italina de Meccanica Teoria e applicata, Sep 2019, ROME, Italy. pp.408, ⟨10.1007/978-3-030-41057-5⟩. ⟨hal-02388273⟩