Torsion of Circular Shaft with Elliptical Inclusions or Cracks; [含椭圆夹杂或裂纹的圆柱扭转问题研究]

被引：0
|
作者：
Huang C. [1 ]
Yin M. [2 ]
Qi X. [1 ]
Guo H. [1 ]
机构：
[1] School of Aviation and Mechanical Engineering, Changzhou Institute of Technology, Changzhou
[2] Physical Power Division, Shanghai Institute of Space Power-Sources, Shanghai
来源：
Transactions of Nanjing University of Aeronautics and Astronautics | 2021年 / 38卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Complex variable method; Faber series; Saint-Venant's torsion;
D O I：
10.16356/j.1005-1120.2021.01.009
中图分类号：
学科分类号：
摘要：
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. © 2021, Editorial Department of Transactions of NUAA. All right reserved.
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页码：96 / 105
页数：9
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