Abstract
In this paper we consider a 3-D elastic solid containing a rectangular crack. Under uniformly distributed pressure on the face of the crack, unstable rupture occurs. Nonlinear Rayleigh damping exists during the rupture process. It causes excitation when the rupture velocity is low. Attenuation stops the rupture when the rupture velocity rises to a certain high value. For this nonlinear 3-D elastic fracture dynamic problem we apply the generalized Fourier series with moving coordinates as its variables to get the asymptotic solutions. Finally, we discuss whether it is indispensable to have a singular factor 1/√r in each expression of the stress component.
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