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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (11): 1429-1436.doi: https://doi.org/10.1007/s10483-009-1108-3

• Articles • 上一篇    下一篇

First fundamental problems of anisotropic elastic plane weakened by periodic collinear cracks

蔡海涛1 路见可2   

  1. 1. College of Mathematics, Central South University, Changsha 410083, P. R. China;
    2. College of Mathematics, Wuhan University, Wuhan 430072, P. R. China
  • 收稿日期:2009-05-24 修回日期:2009-08-26 出版日期:2009-12-02 发布日期:2009-11-01

First fundamental problems of anisotropic elastic plane weakened by periodic collinear cracks

CAI Hai-Tao1, LU Jian-Ke2   

  1. 1. College of Mathematics, Central South University, Changsha 410083, P. R. China;
    2. College of Mathematics, Wuhan University, Wuhan 430072, P. R. China
  • Received:2009-05-24 Revised:2009-08-26 Online:2009-12-02 Published:2009-11-01

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摘要： Using the method of complex functions, we discuss the first fundamental problems of an anisotropic infinite elastic plane weakened by periodic collinear cracks and with periodic boundary loads on both sides of the cracks. This problem was considered by Cai [Engineering Fracture Mechanics 46(1), 133–142 (1993)]. However, the previous method is imperfect. Therefore, the results are incorrect. Here, we revise the method and give a correct solution.

关键词: anisotropic elastic plane, collinear cracks, condition of elastic equilibrium

Abstract: Using the method of complex functions, we discuss the first fundamental problems of an anisotropic infinite elastic plane weakened by periodic collinear cracks and with periodic boundary loads on both sides of the cracks. This problem was considered by Cai [Engineering Fracture Mechanics 46(1), 133–142 (1993)]. However, the previous method is imperfect. Therefore, the results are incorrect. Here, we revise the method and give a correct solution.

Key words: anisotropic elastic plane, collinear cracks, condition of elastic equilibrium

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