Micromechanical-based criteria for the calibration of cohesive zone parameters

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:246

Article

Blal, Nawfal^1,2,3  Daridon, Loic^1,3  Monerie, Yann^2,3  Pagano, Stephane^1,3 

[1] Univ Montpellier 2, LMGC, CNRS, F-34095 Montpellier, France

[2] Inst Radioprotect & Surete Nucl, CE Cadarache, Paul Lez Durance, France

[3] IRSN CNRS Univ Montpellier 2, Lab Micromecan & Integrite Struct, MIST Lab, Montpellier, France

关键词: Micromechanics;    Damage;    Cohesive zone model;    Homogenization;   

DOI  :  10.1016/j.cam.2012.10.031

来源: Elsevier

【 摘 要 】

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. (C) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

Free