Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (4): 331-340.

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AN EXPLICIT TENSOR EXPRESSION FOR THE FUNDAMENTAL SOLUTIONS OF A BIMATERIAL SPACE PROBLEM

Chen Mengcheng, Tang Renji   

  1. Department of Engineering Mechanics, Shanghai Jiaotong Jiaotang University, Shanghai 200030, P. R. China
  • Received:1995-10-16 Online:1997-04-18 Published:1997-04-18
  • Supported by:
    Project supported by the National Natural Science Foundation and National P. H. D. Foundation of China

Abstract: In this paper, by using the method of tensor operation, the fundamental solutions,given in the references listed, for a concentrated force in a three-dimensional biphaseinfinite solid were expressed in the tensor form, which enables them to be directly appliedto the boundary integral equation and the boundary element method for solving elasticmechanics problems of the bimaterial space. The fundamental solutions for Mindlin’sproblem, Lorentz’s problem and homogeneous space problem ore involved in the presentresults.

Key words: three-dimensional bimaterial, fundamental solution of a concentratedforce, tensor expression

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