Mixed-mode crack initiation at a v-notch in presence of an adhesive joint

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:49

Article

Garcia, I. G.²  Leguillon, D.¹ 

[1] Univ Paris 06, CNRS, UMR7190, Inst Jean Le Rond dAlembert, F-75005 Paris, France

[2] Univ Seville, Escuela Tecn Super Ingn, Grp Elasticidad & Resistencia Mat, Seville 41092, Spain

关键词: Stress singularity;    Interface failure;    Fracture;    Crack initiation;    Finite fracture mechanics;    Coupled criterion;    V-notched specimens;    Arcan test;   

DOI  :  10.1016/j.ijsolstr.2012.04.018

来源: Elsevier

【 摘 要 】

The failure criterion for v-notched specimens developed for mixed-mode loadings by Yosibash et al. [Yosibash, Z., Priel, E., Leguillon, D., 2006. A failure criterion for brittle elastic materials under mixed mode loading. Int. J. Fract. 141(1), 289-310.] is generalised in order to consider the influence of the shear stresses and the mode-dependence of the toughness. This is demonstrated to be important in some cases with adhesive joints under complex loadings for instance. The original criterion assumes that an abrupt onset of a crack with a finite extension occurs when two conditions are fulfilled simultaneously: first the normal traction all along the presupposed crack path reaches a critical value, and second the onset is energetically allowed. The influence of the shear stresses is now considered through a mixed law involving critical shear and tensile stresses as well as the mode-dependent toughness introducing a new equivalent SIF. This extended criterion is applied to the simulation of an Arcan test on v-notched compact tension shear (CTS) specimens made of two parts bonded together along the geometric plane of symmetry of the specimen. The competition between two modes of failure is studied: crack initiation along the weak joint which may constitute a privileged fracture surface and initiation in the homogeneous material at an optimum angle that minimizes the critical load to failure. (C) 2012 Elsevier Ltd. All rights reserved.

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