Abstract
In this paper, the elastic solutions of concentrated force acting in orthogonal anisotropic half-plane are derived by imaginal method and the formulae of coefficient matrix for constant element are put forward. To solve half-plane problems numerically by BEM, this paper provides the necessary formulae. Because the expressions of fundamental solutions are very simple, the object functions could be obtained for every integral of constant element and higher order element of indirect BEM. Thus, the procedure of integration could be avoided in calculation program.
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Yun Tian-quan, Formulae of force at a point in the interior of a half-space with shear modulus linearly varied with depth,Applied Mathematics and Mechanics (English Ed.),6, 1 (1985), 1.
Yin Lei-fang, Boundary integral equation-boundary element method for elastic semi-plane problem,Shanghai Mechanics,5, 1 (1984). (in Chinese).
Wen Pi-hua, The boundary element method of anisotropic plane problems,Computational Structural Mechanics and Applications,5, 1 (1988).
Leknitskii, S.G.,Theory of Elasticity of an Anisotropic Elastic Body, Holden-Day, San Francisco (1964).
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Pi-hua, W. The elastic solution of concentrated force acting in orthogonal anisotropic half-plane and constant element fundamental formulae of boundary element method. Appl Math Mech 13, 1163–1172 (1992). https://doi.org/10.1007/BF02456157
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DOI: https://doi.org/10.1007/BF02456157