Analysis of In-Plane Problems for an Isotropic Elastic Medium with Two Circular Inclusions

  • MIYAGAWA Mutsumi
    Dept.of Creative Manufacturing Tokyo Metropolitan College of Industrial Technology. Arakawa Campus
  • TAMIYA Takanobu
    Dept.of Creative Manufacturing Tokyo Metropolitan College of Industrial Technology. Arakawa Campus
  • SHIMURA Jyo
    Tokyo National College of Technology
  • SUZUKI Takuo
    Dept.of Creative Manufacturing Tokyo Metropolitan College of Industrial Technology. Arakawa Campus

説明

In the present paper, we derive a solution for two circular elastic inclusions that are perfectly bonded to an elastic medium (matrix) of infinite extent under in-plane deformation. These two inclusions have different radii, central points, and elasticities. The matrix is subjected to arbitrary loading by, for example, uniform stresses, as well as to a concentrated force at an arbitrary point. In this paper, we present a solution under uniform stresses at infinity as an example. The solution is obtained through iterations of the Mö bius transformation as a series with an explicit general term involving the complex potential of the corresponding homogeneous problem. This procedure is referred to as heterogenization. Using these solutions, several numerical examples are presented graphically.

収録刊行物

  • JSMME

    JSMME 6 (12), 1072-1087, 2012

    一般社団法人 日本機械学会

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