Modelling of anisotropic damage by microcracks: towards a discrete approach

2010/10/13 by Renaud Bargellini, Bargellini, R., Damien Halm +3
Engineering · #Fatigue and fracture mechanics #Numerical methods in engineering #Rock Mechanics and Modeling

paper · doi:10.24423/aom.205

openalex publication_date 2010/10/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/01

Abstract

Modelling of anisotropic damage by microcracks remains a pivotal topic of Damage Mechanics. Many models are built employing a single second-order tensor damage variable D and its spectral decomposition. However, some inconveniences are encountered such as non-uniqueness of the free energy or decomposition of the strain tensor. This paper first reconsiders the anisotropic damage definition; a discrete approach, which introduces nine microcrack densities associated with nine fixed directions, is presented. This definition permits to represent essential phenomena concerning quasi-brittle materials behaviour: the induced anisotropic degradation of elastic properties and the unilateral effect are notably described. In addition, the quoted inconveniences are avoided.

Citations

• Effective Elastic Properties of Cracked Solids: Critical Review of Some Basic Concepts

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