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Periodical interfacial cracks in anisotropic elastoplastic media
Authors:Xiao Wan-shen  Zhou Jian-ping  Tang Guo-jin
Institution:1. Department of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China;2. College of Astronautics and Material Engineering, National University of Defense Technology, Changsha 410073, P. R. China
Abstract:By using Fourier transformation the boundary problem of periodical interfacial cracks in anisotropic elastoplastic bimaterial was transformed into a set of dual integral equations and then it was further reduced by means of definite integral transformation into a group of singular equations. Closed form of its solution was obtained and three corresponding problems of isotropic bimaterial, of a single anisotropic material and of a bimaterial of isotropy- anisotropy were treated as the specific cases. The plastic zone length of the crack tip and crack openning displacement ( COD) decline as the smaller yield limit of the two bonded materials rises, and they were also determined by crack length and the space between two neighboring cracks . In addition , COD also relates it with moduli of the materials .
Keywords:periodical crack  interfacial crack  anisotropic elastoplastic fracture of bi-rnaterial  antiplane problem  Dugdale-Barenblatt (D-B ) model  crack openning displacement (COD)
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