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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24283

Title: Torsional rigidity of a circular bar with multiple circular inclusions using the null-field integral approach
Authors: Jeng-Tzong Chen;Ying-Te Lee
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: Torsional rigidity;Null-field integral equation;Degenerate kernel;Fourier series;Inclusion
Date: 2009-07
Issue Date: 2011-10-20T08:11:05Z
Publisher: Computational Mechanics
Abstract: abstract:In this article, a systematic approach is proposed to calculate the torsional rigidity and stress of a circular bar containing multiple circular inclusions. To fully capture the circular geometries, the kernel function is expanded to the degenerate form and the boundary density is expressed into Fourier series. The approach is seen as a semi-analytical manner since error purely attributes to the truncation of Fourier series. By collocating the null-field point exactly on the real boundary and matching the boundary condition, a linear algebraic system is obtained. Convergence study shows that only a few number of Fourier series terms can yield acceptable results. Finally, torsion problems are revisited to check the validity of our method. Not only the torsional rigidities but also the stresses of multiple inclusions are also obtained by using the present approach.
Relation: 44(2), pp.221-232
URI: http://ntour.ntou.edu.tw/handle/987654321/24283
Appears in Collections:[河海工程學系] 期刊論文

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