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Curve cracks lying along a parabolic curve in anisotropic body
Authors:Hu Yuan-tai  Zhao Xing-hua
Institution:Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai
Abstract:?A general solutions for the stress and displacement of curve cracks distributing along a parabolic curve Ω in an infinite homogeneous anisotropic medium subjected to uniform loading at infinity have been given in this? paper by using the Stroh's formalism and the mapping method. The solutions are valid not only for plane problems but also for antiplane problems and the problems whose inplane and antiplane deformations couple each other. A closed form solution for the stress and displacement in the entire domain is obtained for one curve crack or two curve cracks along the parabolic curve. The simple explicit form solution for the stress intensity factors and the crack opening displacement are presented.
Keywords:eigenvalue  crack  stress intensity factor
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