Application of Auxilliary Source Method for Three Dimensional Elasticity Problems

碩士 === 國立中央大學 === 機械工程研究所 === 87 === The aim of this research is to deal with three dimensional elasticity problem using the BoundaryElement Method (BEM). The problems contain infinite and finite domain problems. For infinite domain it can obtain more accurate solution than Finite Element...

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Bibliographic Details
Main Authors: Chu Kai-Wei, 邱凱偉
Other Authors: Chang Chiang-Nan
Format: Others
Language:zh-TW
Published: 1999
Online Access:http://ndltd.ncl.edu.tw/handle/36016077211459145283
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Summary:碩士 === 國立中央大學 === 機械工程研究所 === 87 === The aim of this research is to deal with three dimensional elasticity problem using the BoundaryElement Method (BEM). The problems contain infinite and finite domain problems. For infinite domain it can obtain more accurate solution than Finite Element Method. BEM can reduces the dimension of problem by one it can be frugal computation time. In this research, we suppose an auxilliary surface source exterior to the actual boundary. The auxilliary surface is discretized by element mesh with eight-noded isoparametric elements. This method cancels the singular integral problem because the field point do not coincide with the source point. The numerical results are very accurate compared with the analytical solution. It is proved that this method is an efficient and reliable numerical method in handling the elasticity problem.