Abstract
We propose a model of multiple cracking of specimens under the combined action of thermal and mechanical cyclic loads. In view of the complexity of computations required for the solution of the problems of interaction of stochastically arranged cracks, it is proposed to treat them as doubly periodic systems of branched cracks capable of modeling the intergranular damage as well as the intercrystalline and transcrystalline fracture. To determine the main direction of propagation of fracture, we introduce in the model cross-shaped cracklike defects, which can grow in two mutually perpendicular directions relative to the applied thermal and force loads. We also obtain the dependences of the formation of defects, the length of microcracks, and the distances between them on the number of cycles and the parameters of thermal and force loading.
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