Micromechanical-based criteria for the calibration of cohesive zone parameters

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• 作者：Nawfal Blal^a ; ^b ; ^c ; ^{nawfal.blal@univ-montp2.fr} ; Loï ; c Daridon^a ; ^c ; ^{loic.daridon@univ-montp2.fr} ; Yann Monerie^b ; ^c ; ^{yann.monerie@irsn.fr} ; Sté ; phane Pagano^a ; ^c ; ^{stephane.pagano@univ-montp2.fr}
• 关键词：Micromechanics ; Damage ; Cohesive zone model ; Homogenization
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2013
• 出版时间：July, 2013
• 年：2013
• 卷：246
• 期：Complete
• 页码：206-214
• 全文大小：417 K

文摘

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)? 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.