| PERIODICAL INTERFACIAL CRACKS IN ANISOTROPIC ELASTOPLASTIC MEDIA |
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| 作者姓名： | 肖万伸 周建平 唐国金 |
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| 作者单位： | Department of Engineering Mechanics，Hunan University，Changsha 410082，P.R.China，College of Astronautics and Material Engineering，National University of Defense Technology，Changsha 410073，P.R.China，College of Astronautics and Material Engineering，National University of Defense Technology，Changsha 410073，P.R.China，College of Astronautics and Material Engineering，National University of Defense Technology，Changsha 410073，P.R.China |
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| 基金项目： | the National Natural Science Foundation of China (19872076)，the Postdoctoral Science Foundation of China (00-2001)，the National Natural Science Foundation of China for Out-sanding Young Scientists (19925209) |
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| 摘 要： | 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 .
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| 收稿时间： | 16 October 2001 |
Periodical interfacial cracks in anisotropic elastoplastic media |
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| Xiao?Wan-shen,Zhou?Jian-ping,Tang?Guo-jin.PERIODICAL INTERFACIAL CRACKS IN ANISOTROPIC ELASTOPLASTIC MEDIA[J].Applied Mathematics and Mechanics(English Edition),2003,24(11):1342-1347. |
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| Authors: | Xiao Wan-shen Zhou Jian-ping Tang Guo-jin |
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| Institution: | 1. Department of Engineering Mechanics, Hunan University, Changsha 410082, P.R. China;College of Astronautics and Material Engineering, National University of Defense Technology, Changsha 410073, P.R. China
2. College of Astronautics and Material Engineering, National University of Defense Technology, Changsha 410073, P.R. China |
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| 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 . |
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| 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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