对于复合材料层合梁在横向载荷作用下的分层问题,本文根据MuskheLishvili的求解各向同性平面问题与Lkhnisikii的求解各向异性平面问题的复变函数方法,得到了满足所有基本方程、裂纹表面边界条件与层间连续条件的应力场、位移场的本征展开式。进而利用分区广义变分原理代替裂纹表面以外的边界条件,确定应力强度因子。由于所有基本方程预先得以满足,在变分方程中只有线积分而无面积分。计算表明,本方法前期准备工作很少,计算节省机时,结果收敛迅速。 According to the complex function method of solving the isotropic planar problem of Muskhe-Lishvili and Lkhnisikii’s solution of the anisotropic planar problem, this paper presents a method that satisfies all the basic equations, the crack surface The Stress Field and Displacement Field of Boundary Condition and Interlayer Continuity. Then, the generalized variational principle of partition is used to replace the boundary conditions beyond the crack surface to determine the stress intensity factor. Since all of the basic equations are satisfied in advance, there is only a linear integral with no area in the variational equation. The calculation shows that there is very little preparatory work in this method, and the result is convergent quickly when calculating the saving opportunity.