Analysis of Circular Torsion Bar with Circular Holes Using Null-field Approach
Jeng-Tzong Chen; Wen-Cheng Shen; Po-Yuan Chen

doi:10.3970/cmes.2006.012.109
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 12, No. 2, pp. 109-119, 2006
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Keywords Torsion, Null-field integral equation, Fourier series, Circular hole, Torsional rigidity.
Abstract In this paper, we derive the null-field integral equation for a circular bar weakened by circular cavities with arbitrary radii and positions under torque. To fully capture the circular geometries, separate forms of fundamental solution in the polar coordinate and Fourier series for boundary densities are adopted. The solution is formulated in a manner of a semi-analytical form since error purely attributes to the truncation of Fourier series. Torsion problems are revisited to demonstrate the validity of our method. Torsional rigidities for different number of holes are also discussed.
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