Abstract

Using the constitutive model for brittle tensile fracture derived by Grady and Kipp and the theory of moving singular surfaces, an analytical approach to the description of stress wave/fracture interaction has been proposed. The propagation of a one dimensional tensile stress pulse in a linear elastic medium with an inherent flaw structure is investigated. The nonlinearity in the constitutive description induced by the fracture process is effectively treated in terms of nonlinear waves with internal state variables.

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