ON CRACK INITIATION CRITERIA FOR AN INTERFACIAL CRACK IN A QUASI-BRITTLE MATERIAL
DOI:
https://doi.org/10.15407/dopovidi2026.03.055Keywords:
crack initiation criteria; interfacial crack; fracture process zone; quasi-brittle failure mechanism; von Mises–Hill strength criterionAbstract
The problem of the choice of fracture criteria for piecewise homogeneous bodies with interfacial cracks is considered. Using an analytical model of a fracture process zone in a bonding material with a quasi-brittle failure mechanism near the tip of an interfacial crack under plane strain conditions, energy-based criteria for the onset of crack propagation along the interface were verified. The fracture process zone was modeled as a displacement discontinuity line on which a von Mises–Hill-type strength criterion is satisfied. Based on the exact analytical solution of the corresponding boundary value problem obtained by means of the Wiener–Hopf method, an algorithm for evaluating the conditions of interfacial crack initiation is described. The proposed algorithm is characterized by simplicity of practical implementation, does not require the use of complex finite element analysis software or special experiments for determining material parameters, and remains applicable to a wide range of body configurations and loading conditions. The investigated criterion parameters were represented by sums of power-law functions of the ratios of the energy release rates for different loading modes to their corresponding critical values. The verification of the interfacial crack initiation criteria was carried out using one of the basic experiments employed for evaluating the fracture toughness of building structures, for which it was established that the best agreement with the experimental data is provided by the quadratic fracture criterion.
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