This paper proposes a straightforward and concise approach to analyze the Saint-Venant’s torsion of a circular shaft containing multiple elliptical inclusions or cracks based on the complex variable method.The comple...This paper proposes a straightforward and concise approach to analyze the Saint-Venant’s torsion of a circular shaft containing multiple elliptical inclusions or cracks based on the complex variable method.The complex potentials are first derived for the shaft with N elliptical inclusions by introducing Faber series expansion,and then the shear stresses and torsional rigidity are calculated.When the inclusions degenerate into cracks,the solutions for the intensity factors of stress are obtained.Finally,several numerical examples are carried out to discuss the effects of geometry parameters,different shear modulus ratios and array-types of the elliptical inclusions/cracks on the fields of stresses.The obtained results show that the proposed approach has advantages such as high accuracy and good convergence.展开更多
基金supported by the National Natural Science Fund of China (No. 11802040)the Natural Science Foundation of the Jiangsu Higher Education Institutions of China(No.18KJB130001)
文摘This paper proposes a straightforward and concise approach to analyze the Saint-Venant’s torsion of a circular shaft containing multiple elliptical inclusions or cracks based on the complex variable method.The complex potentials are first derived for the shaft with N elliptical inclusions by introducing Faber series expansion,and then the shear stresses and torsional rigidity are calculated.When the inclusions degenerate into cracks,the solutions for the intensity factors of stress are obtained.Finally,several numerical examples are carried out to discuss the effects of geometry parameters,different shear modulus ratios and array-types of the elliptical inclusions/cracks on the fields of stresses.The obtained results show that the proposed approach has advantages such as high accuracy and good convergence.
