The interaction of a system of weakened zones at the interface of elastic media in a tensile stress field

• Published in: Journal of applied mathematics and mechanics 2011, Vol.75 (1), p.98-105
• Main Author: Simonov, I.V.
• Format: Article
• Language: English
• Subjects: Asymmetry; Bonding; Defects; Discontinuity; Exact sciences and technology; Fracture mechanics; Fracture mechanics (crack, fatigue, damage...); Fundamental areas of phenomenology (including applications); Mathematical analysis; Mathematical models; Physics; Solid mechanics; Structural and continuum mechanics; Tensile stress
• ISSN: 0021-8928; 0021-8928
• DOI: 10.1016/j.jappmathmech.2011.04.015

The interaction of a system of crack-like defects with distributed cohesive forces over the whole surface of the edges, located at the interface of two elastic half-planes and which open under the action of forces at infinity, is considered. A dislocation approach is used to describe the model of each defect: the discontinuity in the asymmetric shifts is specified in the form of a basis function with free parameters that satisfies a number of physical constraints. The free parameters of the model are determined when finding an analytical solution of the problem. The key questions are: what is the minimum load at which just one of these weakened zones is converted into the nucleus of a crack or when one of the connecting bridges separating these zones is fractured and, also, under what conditions can the interaction of the defects be neglected ? The model is extended with a relation which enables an explicit opening - bonding force dependence to be obtained.