各向异性杆扭转问题的各向同性化域外奇点解法

ISOTROPICALIZED OUTSIDE SINGULAR POINT METHOD FOR THE TORSION PROBLEMS OF ANISOTROPIC BAR

本文为各向异性杆简单扭转问题提供一种各向同性化域外奇点解法。先引入坐标变换，将该问题转化成相应的各向同性杆的扭转问题。再利用后者的格林函数，按域外奇点法求解。最后，经逆变换得到所需的应力分量。它具有方法简单、不需数值积分、计算时间短和精度高等优点。

In this paper the outside singular point method for solving the simple torsion problemof anisotropic bar is converted into torsion problem of isotropic bar by coordinate conversionmethod. The Green's function of the torsion problem of isotropic bar is utilized for the outsidesingular point method. The stress compoments are given by inverse transform. This method issimple and needs no numerical integration. It can also save much computing time with fairaccuracy.