Constitutive behaviour of quasi-brittle materials with anisotropic friction

Constitutive and numerical modeling of anisotropic quasi-brittle shales

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Crack path prediction in anisotropic brittle materials.

A force balance condition to predict quasistatic crack paths in anisotropic brittle materials is derived from an analysis of diffuse interface continuum models that describe both short-scale failure and macroscopic linear elasticity. The path is uniquely determined by the directional anisotropy of the fracture energy, independent of details of the failure process. The derivation exploits the gr...

Multiscale failure modelling of quasi - brittle materials

An anisotropic tertiary creep damage constitutive model for anisotropic materials

When an anisotropic material is subject to creep conditions and a complex state of stress, an anisotropic creep damage behavior is observed. Previous research has focused on the anisotropic creep damage behavior of isotropic materials but few constitutive models have been developed for anisotropic creeping solids. This paper describes the development of a new anisotropic tertiary creep damage c...

Anisotropic mesh adaptation for quasistatic crack propagation in brittle materials

The numerical simulation of quasistatic fracturing of brittle material, where no predefined crack path is imposed, is a challenging problem. In particular, we deal with the Francfort-Marigo model which requires the minimization of the well-known nonconvex and nonsmooth Mumford-Shah functional. To deal with a smoother problem which eases the minimization process of the energy, we consider the Γ-...