A Direct Method for Deriving Fundamental Solution of Half-Plane Problem

Huang Yu-ying; Yin Lei-fang

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Huang Yu-ying, Yin Lei-fang. A Direct Method for Deriving Fundamental Solution of Half-Plane Problem[J]. Applied Mathematics and Mechanics, 1987, 8(12): 1111-1120.

Citation:

Huang Yu-ying, Yin Lei-fang. A Direct Method for Deriving Fundamental Solution of Half-Plane Problem[J]. Applied Mathematics and Mechanics, 1987, 8(12): 1111-1120.

Citation:

Huang Yu-ying, Yin Lei-fang. A Direct Method for Deriving Fundamental Solution of Half-Plane Problem[J]. Applied Mathematics and Mechanics, 1987, 8(12): 1111-1120.

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A Direct Method for Deriving Fundamental Solution of Half-Plane Problem

Huang Yu-ying¹,
Yin Lei-fang²

1.
Huazhong University of Science and Technology, Wuhan;
2.
Luoyang Institute of Technology, Luoyang

Received Date: 1984-06-02
Publish Date: 1987-12-15

Abstract

Abstract

A fundamental solution for half-plane problems which will play a key role in calculation of the stress concentration around a hole embedded in half-plane is derived by a method combining images with direct integrations. It is wore intuitive than the Fourier transform method used by Gladwell[6]. In addition, the principle and procedure of boundary element method to solve the half-plane problems are also presented by means of Betti's reciprocal theorem in this paper.It is shown that the. computing procedure for half-plane problems is much more convenient using the fundamental solution presented here than the one adopted by C.A. Brebbia^[1].

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References(6)

References

[1]	Brebbia,C.A,The Boundary Element Methods for Engineers,Pentech Press(1978),139-145.
[2]	Brebbia,C.A,Boundary Element Techniques in Engineering,Newnes-Butterworths(1980),102-110.
[3]	Rekach,V.G,Manual of the Theory of Elasticity,Mir Publishers,Moscow(1979),165-168.
[4]	Sneddon,I,N.,Fourier Transforms,上海交通书店影印(1951),416-419
[5]	Telles,J.C.F.and C.A、Brebbia,Boundary element solution for half-plane problem,Int.J.Solids and Structures,12(1981).
[6]	Gladwell,G.M.L,Contact Problems in the Classical Theory of Elasticity Germantown,Sijthoff and Noordhoff(1980),230-235.