Journal of Environment and Engineering
Online ISSN : 1880-988X
ISSN-L : 1880-988X
Papers
Analysis of In-Plane Problems with Singular Disturbances for an Isotropic Elastic Medium with Two Circular Holes or Rigid Inclusions
Mutsumi MIYAGAWATakuo SUZUKIJyo SHIMURA
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2011 年 6 巻 4 号 p. 778-791

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In the present paper, we derive a solution for two circular holes or rigid inclusions that are perfectly bonded to an elastic medium (matrix) of infinite extent under in-plane deformation. These two holes or rigid inclusions have different radii and different central points. The matrix is subjected to arbitrary loading, for example, by uniform stresses, as well as a concentrated force at an arbitrary point. The solution is obtained through iterations of the Möbius 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.
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© 2011 by The Japan Society of Mechanical Engineers
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