http://scholars.ntou.edu.tw/handle/123456789/20888
標題: | The method of fundamental solutions for three-dimensional elastostatic problems of transversely isotropic solids | 作者: | Chia-Cheng Tsai | 關鍵字: | Method of fundamental solutions;Elasticity;Transversely isotropic;Closed-form fundamental solution | 公開日期: | 七月-2007 | 卷: | 31 | 期: | 7 | 起(迄)頁: | 586-594 | 來源出版物: | Engineering Analysis with Boundary Elements | 摘要: | This paper describes the method of fundamental solutions (MFS) to solve three-dimensional elastostatic problems of transversely isotropic solids. The desired solution is represented by a series of closed-form fundamental solutions, which are the displacement fields due to concentrated point forces acting on the transversely isotropic material. To obtain the unknown intensities of the fundamental solutions, the source points are properly located outside the computational domain and the boundary conditions are then collocated. Furthermore, the closed-form traction fields corresponding to the previously published point force solutions are reviewed and addressed explicitly in suitable forms for numerical implementations. Three numerical experiments including Dirichlet, Robin, and peanut-shaped-domain problems are carried out to validate the proposed method. It is found that the method performs well for all the three cases. Furthermore, a rescaling method is introduced to improve the accuracy of Robin problem with noisy boundary data. In the spirits of MFS, the present meshless method is free from numerical integrations as well as singularities. |
URI: | http://scholars.ntou.edu.tw/handle/123456789/20888 | DOI: | 10.1016/j.enganabound.2006.12.004 |
顯示於: | 海洋工程科技學士學位學程(系) |
在 IR 系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。