带直裂纹的正交各向异性平面弹性长条的周期基本问题

The Periodic Fundamental Problem of An Anisotropic Elastic Strip with Cracks

本文讨论了带直裂纹的正交各向异性弹性长条的周期基本问题,并将此基本问题化为一组奇异积分方程,运用Lobatto—Chebyshev求积公式和Gauss求积公式将奇异积分方程离散成线性代数方程,最后导出了求应力强度因子的公式.在计算机上用FORTRAN77语言对实例进行了数值计算.

Considers the periodic fundamental problem of an anisotropic elastic strip with cracks. By introducing two function transforms,the problem is reduced to a set of complex singular integral equations, and it is solved numerically by using Lobatto-Chebyshev method and classical Gauss method. The stress intensity factor at the fracture tipe is calculated. The numerical calculations in some cases are accomplished by using advanced computer language FORTRAN 77.