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

• 论文 • 上一篇    下一篇

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

陈梦成, 汤任基   

  1. Department of Engineering Mechanics, Shanghai Jiaotong Jiaotang University, Shanghai 200030, P. R. China
  • 收稿日期:1995-10-16 出版日期:1997-04-18 发布日期:1997-04-18
  • 基金资助:
    Project supported by the National Natural Science Foundation and National P. H. D. Foundation of China

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

摘要: 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.

关键词: three-dimensional bimaterial, fundamental solution of a concentratedforce, tensor expression

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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