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Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (11): 1342-1347.

• 论文 • 上一篇    下一篇

PERIODICAL INTERFACIAL CRACKS IN ANISOTROPIC ELASTOPLASTIC MEDIA

肖万伸1,2, 周建平2, 唐国金2   

  1. 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
  • 收稿日期:2001-10-16 修回日期:2003-07-20 出版日期:2003-11-18 发布日期:2003-11-18
  • 基金资助:
    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)

PERIODICAL INTERFACIAL CRACKS IN ANISOTROPIC ELASTOPLASTIC MEDIA

XIAO Wan-shen1,2, ZHOU Jian-ping2, TANG Guo-jin 2   

  1. 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
  • Received:2001-10-16 Revised:2003-07-20 Online:2003-11-18 Published:2003-11-18
  • Supported by:
    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.

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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