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| Fast multipole VBEM for analyzing the effective elastic moduli of a sheet containing circular holes |
| Received:June 25, 2008 |
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| DOI：10.7511/jslx20103029 |
| KeyWord:fast multipole method (FMM) generalized minimal residual algorithm (GMRES) effective elastic moduli virtual boundary element method (VBEM) elastic body |
| Author | Institution |
| 许强 |
同济大学 建筑工程系,上海 |
| 蒋彦涛 |
同济大学 建筑工程系,上海 |
| 张志佳 |
同济大学 建筑工程系,上海 |
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| Abstract: |
| To the virtual boundary element method (VBEM), generalized minimal residual algorithm (GMRES) and fast multipole method (FMM) are used to form the idea of fast multipole VBEM, which is applied to analyze the effective elastic moduli of a plate containing circular holes. Owing to the combined scheme of multipole expansion at the collocation point and local expansion at the integration point, the complexities of operation and memory about solution of the equations would be made to be of linear proportion to the freedoms of the problem. The purpose of the present study is to improve the operational capability of VBEM on a laptop computer and extend the numerical simulation of large scale complex problem. Two numerical examples about a square plate with uniformly distributed holes and a sheet containing zig-zag distributed holes are presented to demonstrate the feasibility, accuracy and efficiency of the method. |
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