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Archive of Applied Mechanics

, Volume 70, Issue 8–9, pp 612–624 | Cite as

Interaction between elliptical and ellipsoidal inclusions under bending stress fields

  • N.-A. Noda
  • H. Hayashida
Article

Summary

 This paper deals with interaction problems of elliptical and ellipsoidal inclusions under bending, using singular integral equations of the body force method. The problems are formulated as a system of singular integral equations with Cauchy-type or logarithmic-type singularities, where unknown functions are densities of body forces distributed in the x,y and r,θ,z directions in infinite bodies having the same elastic constants as those of the matrix and inclusions. In order to satisfy the boundary conditions along the elliptical and the ellipsoidal boundaries, the unknown functions are approximated by a linear combination of fundamental density functions and polynomials. The present method is found to yield the exact solutions for a single elliptical or spherical inclusion under a bending stress field. It yields rapidly converging numerical results for interface stresses in the interaction of inclusions.

Key words Elasticity, body force method, singular integral equation, numerical analysis, stress concentration factor, ellipsoidal inclusion 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • N.-A. Noda
    • 1
  • H. Hayashida
    • 1
  1. 1.Department of Mechanical Engineering, Kyushu Institute of Technology, 1-1 Sensui-cho, Tobata-ku, Kitakyushu 804-8550, Japan e-mail: noda@mech.kyutech.ac.jp Fax: +81-93-871 8591Japan

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