Abstract
This study is aimed at simulation of numerous curvilinear hydro-fracture trajectories in the framework of the mechanics of brittle fracture. The numerical model is based on the method of singular integral equations, SIE. The process of fracture propagation is considered as quasi-static, it is presented by iterations of the stationary step-by-step states, for which the SIE is solved at every step to calculate the stress intensity factors for the current configuration of the fracture system. The trajectory of the fracture is found by applying the criterion of maximum tensile stress at the crack tips and the crack closure is controlled at every step. Two types of fracture growth have been analysed: simultaneous and subsequent for different values of spacing and in-situ stress ratio.
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