CAO Jie, YOU Ya-lei. New Method for Low Order Spectral Model and Its Application[J]. Applied Mathematics and Mechanics, 2006, 27(4): 424-430.
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.
CAO Jie, YOU Ya-lei. New Method for Low Order Spectral Model and Its Application[J]. Applied Mathematics and Mechanics, 2006, 27(4): 424-430.
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.
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].