Micromechanical-based criteria for the calibration of cohesive zone parameters

Autores: Nawfal Blal, Loïc Daridon, Yann Monerie, Stéphane Pagano
Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 246, Nº 1, 2013, págs. 206-214
Idioma: inglés
DOI: 10.1016/j.cam.2012.10.031
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Resumen
- This paper presents a new micromechanical model for a collection of cohesive zone models embedded between each mesh of a finite element-type discretization. It aims to fully extend the previous linear results of Blal et al. (2012) [11] to the calibration of damageable cohesive parameters (cohesive peak stress, critical opening displacement, cohesive energy, etc). The main idea of the approach consists in replacing the underlying cohesive-volumetric discretization by an equivalent �matrix-inclusions� composite. The overall behavior of this equivalent composite is estimated using homogenization schemes (Hashin�Shtrikman estimate and the modified secant method) and is given in a closedform as function of both cohesive and bulk properties and the mesh density. In the particular case of a bilinear cohesive law a micromechanical damage model for quasi-brittle materials is derived. The corresponding local-to-global relationships are obtained for any overall triaxiality loading ratio.