求解含孔边裂纹各向异性板应力强度因子的复变—广义变分方法

A COMPLEX VARIABLE VARIATIONAL METHOD FOR SOLVING INTENSITY FACTORS IN ORTHOTROPIC PLATES WITH CRACKS EMANATING FROM A HOLE

本文提供了一个求解含孔边裂纹正交各向异性板应力强度因子的复变一广义变分方法.首先建立满足所有弹性力学基本方程式和裂纹表面边界条件的应力与位移级数表达式.然后应用广义变分原理满足其余边界条件从而确定应力强度因子.计算表明,级数收敛迅速,结果与有限元法非常一致,而所需机时较少.

Description is given of a complex variable variational method (C. V. M) for determination of the stress intensity factors (S. I. F.) in orthotropic plates with cracks emanating from a hole. The analysis is based upon the use of the two dimensional theory of anisotropic elasticity to establish stress and displacement series which automatically sati(?)fy all basic equations and boundary conditions on the crack surfaces. By using a gene(?)alized variational principle the remaining boundary conditions are satisfied, and the stress or displacement field as well as S. I. F. are solved. Numerical stucies reveal the superior convergence properties and high accuracy obtained using a relatively simple program. The performance of the C. V. M. is compared with predictions given by the finite elementhod.