TY  - EJOU
AU  - Chen, Jeng-Tzong 
AU  - Shen, Wen-Cheng 
AU  - Chen, Po-Yuan 

TI  - Analysis of Circular Torsion Bar with Circular Holes Using Null-field Approach
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2006
VL  - 12
IS  - 2
SN  - 1526-1506

AB  - 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.
KW  - Torsion
KW  -  Null-field integral equation
KW  -  Fourier series
KW  -  Circular hole
KW  -  Torsional rigidity

DO  - 10.3970/cmes.2006.012.109