A micromechanical approach of crack-induced damage in orthotropic media: Application to a brittle matrix composite

Abstract

. A micromechanical approach of crackinduced damage in orthotropic media : application to a brittle matrix composite. Engineering Fracture Mechanics, Elsevier, 2012, 83 (-) AbstractCoupling between initial and damage-induced anisotropies in 3D elastic damaged materials has been so far addressed by homogenization techniques only for particular microcracks configurations. The main difficulty in developing a general 3D micromechanical model lies in the lack of a closed-form solution of the Eshelby tensor corresponding to cracks in an elastic anisotropic medium. In this study, we begin to present closed form expressions of the Eshelby tensor S that we derived for a cylindrical crack embedded in an orthotropic material. The 3D obtained expressions reduce to existing results in the 2D case or in particular 3D cracks configurations. The effective compliance of an orthotropic medium containing arbitrarily oriented cracks is then derived by using the new Eshelby tensor. Finally, a damage model is formulated by combining the above results with classical thermodynamics approach.The ability of the model to capture coupling between initial orthotropy and damage induced anisotropy is demonstrated through a comparison with experimental data available for a ceramic matrix composite (unidirectional SiC-SiC).

Thermoelastic properties of microcracked polycrystals. Part I: Adequacy of Fourier-based methods for cracked elastic bodies

“…Quasi-brittle materials, such as concrete, rocks, ceramics and many jointed or sintered materials, are well known to undergo microcracking prior to failure. Many authors have endeavored to model this effect in the context of continuum damage mechanics modeling, either phenomenologically (see, for instance Cormery and Welemane, 2002;Bargellini et al, 2008;Cormery and Welemane, 2010;Challamel, 2010), or by various micromechanical methods (see, for example Budiansky, 1976;Horii and Nemat-Nasser, 1983;Andrieux et al, 1986;Krajcinovic, 1989;Kachanov, 1992;Pensée and Kondo, 2003;Dormieux and Kondo, 2009;Zhu et al, 2011;Monchiet et al, 2012;Levasseur et al, 2015). The vast majority of these approaches consider the damaged medium as a population of microcracks embedded in a (possibly anisotropic) homogeneous matrix.…”

Crack opening displacements under remote stress gradient: Derivation with a canonical basis of sixth order tensors

“…A few recent references show that this field of research is still active for studying cracked materials (Monchiet, Gruescu, Cazacu, & Kondo, 2012;Mihai & Jefferson, 2011). However, some works have shown also that taking into account the http://dx.doi.org/10.1016/j.ijengsci.2015.01.002 0020-7225/Ó 2015 Elsevier Ltd. All rights reserved.…”

The thermoelastic response of cracked polycrystals with hexagonal symmetry

“…Modeling this softening effect is not straightforward, and has generated a large amount of work, either by phenomenological means (see in particular the brief review of Cormey and Welemane [1] or more recently [2][3][4]) or via micromechanical modeling (see [5][6][7][8][9], and the more recent studies [10][11][12][13][14] among many others). Most of these works have considered the damaged material as a homogeneous matrix containing a distribution of micro-cracks.…”