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Micromechanical-based criteria for the calibration of cohesive zone parameters. (English) Zbl 1453.74068

Summary: 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 the authors [“Artificial compliance inherent to the intrinsic cohesive zone models: criteria and application to planar meshes”, Int. J. Fracture 178, 71–83 (2012; doi:10.1007/s10704-012-9734-y)] 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.

MSC:

74M25 Micromechanics of solids
74A45 Theories of fracture and damage
74R05 Brittle damage
74S05 Finite element methods applied to problems in solid mechanics
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