Abstract

Recently, with the rapid development of fracture mechanics, the range of tasks that it allows to solve is also expanding. The article provides a brief overview of problems with singular stress fields starting from a simple fissure and up to V-shaped elements made of dissimilar materials. It shows that the fissure is a special case of an entire class of problems. The destruction of pipelines, as well as all other structures, occurs through the birth and development of fissures. It means that it is more important to study problems with singular stress fields in the oil and gas industry. The article provides a solution to a general problem from which all known solutions follow in particular cases. But if in the case of a fissure the dimension of all stress intensity coefficients is the same and constant, then in general the dimensions of the KIN are determined by the values of a parameter that depends on the elastic properties of materials, as well as on the crack opening angle. This property of KIN, causes difficulties with calculating of strength. Therefore there is a problem - how to determine the strength conditions of structural elements with such singular points. This problem requires further research in this area.

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