Micromechanical-based criteria for the calibration of cohesive zone parameters

• Published in: Journal of computational and applied mathematics Vol. 246; pp. 206 - 214
• Main Authors: Blal, Nawfal, Daridon, Loïc, Monerie, Yann, Pagano, Stéphane
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.07.2013; Elsevier
• Subjects: Calibration; Cohesion; Cohesive zone model; Damage; Discretization; Engineering Sciences; Finite element method; Homogenization; Homogenizing; Mathematical analysis; Mathematical models; Mechanics; Micromechanics; Physics; Structural mechanics; Micromechanics; Homogenization; Cohesive zone model; Damage; Cohesive Zone Model
• ISSN: 0377-0427; 1879-1778
• DOI: 10.1016/j.cam.2012.10.031

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 closed-form 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.