Development of Spontaneous Rupture Process of a Shear Crack Using Slip-Weakening Model

Abstract eng:
Incorporated with the hyper-singular boundary element method (HBEM), the slip-weakening model was adopted to develop the spontaneous rupture process of a shear crack. The shear crack was considered to be embedded in an infinite space (anti-plane problem), and further, the slip-weakening model was adopted to define the constitutive law by the linear relationship between the shear stress and slip within the cohesive zones. On the other hand, based on the HBEM with the developed regularization technique, the crack opening under a specified stress drop can be determined in time domain. In this study, the zero frequency approximation was considered first to solve the opening for a shear crack under the slip-weakening model. Based on the dynamic stress intensity factor, both the stress drop and the crack opening within the cohesive zones can be determined by the proposed iteration process. In addition, for the dynamic slip process, the equal rupture interval of the crack tips was defined for each rupture step, and the time that the crack tips arrive at the definite locations, as well as the associated crack opening and the stress drop, can be determined subsequently on the basis of the developed iteration process. Therefore, based on the discrete points of crack tips and associated arrival times, the dynamic slip function can be achieved piecewisely.

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