A variational boundary integral equation method for an elastodynamic antiplane crack. (English) Zbl 0772.73088

Summary: This paper investigates the transient wave scattering by a crack by means of the boundary integral equation method (BIEM). The author has developed a new formulation to solve the BIE for the crack opening displacement (COD). The resolution is done directly in the time domain. The solution is represented by means of a retarded double layer potential, and the resulting BIE, with the COD as unknown, has a hypersingular kernel. The corresponding difficulty is overcome by using a variational method. We present the application of this method to an antiplane crack, describe the approximate problem and finally give some numerical results.


74S15 Boundary element methods applied to problems in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
74P10 Optimization of other properties in solid mechanics
74R99 Fracture and damage
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