Analysis of the Elastic Fundamental Solution by Finite Element Method

  • Y. Fujitani
Conference paper


In this paper, the Kelvin’s solution, the Boussinesq’s solution and their generalized solutions defined in 2 and 3 dimensional region are considered as the elastic fundamental solution. These solutions can be classified to the one with a logarithm singularity and with a power type’s singularity. The method of finite element analysis for each solution is proposed and the numerical results are shown in this paper.


Boundary Element Method Dimensional Solution Stress Boundary Condition Dimensional Region Logarithm Singularity 
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  1. 1.
    Timoshenko, S., Goodier, J.N.: Theory of Elasticity, 3ed. 1983Google Scholar
  2. 2.
    Fujitani, Y.: Finite Element Analysis of the Singular Solution in crack problems, Proceedings on Numerical Methods in Fracture Mechanics, ed. by A.R. Luxmoore, D.R.J. Owen, 1978Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Y. Fujitani
    • 1
  1. 1.Department of Structural EngineeringHiroshima UniversityHigashi-HiroshimaJapan

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