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Article Dans Une Revue Journal of Computational and Applied Mathematics Année : 2013

Micromechanical-based criteria for the calibration of cohesive zone parameters

Résumé

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 forth fully extend the previous linear results of [1] 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.
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Dates et versions

hal-00751385 , version 1 (13-11-2012)

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Nawfal Blal, Loïc Daridon, Yann Monerie, Stéphane Pagano. Micromechanical-based criteria for the calibration of cohesive zone parameters. Journal of Computational and Applied Mathematics, 2013, 246, pp.206-214. ⟨10.1016/j.cam.2012.10.031⟩. ⟨hal-00751385⟩
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