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本文采用弹性力学的位移解法研究对称角铺层复合材料层板在反平面变形情况下的分层问题,得到了满足所有基本方程、层间连续条件与裂纹表面静力边界条件的位移场与应力场的本征展开式。再利用分区广义变分原理代替裂纹表面以外的边界条件,确定位移场与应力场表达式中的待定系数,进而确定应力强度因子。由于所有基本方程预先得以满足,变分方程中只有线积分而无面积分。计算表明,本文方法前期准备工作简便,计算节省机时,结果收敛迅速。
In this paper, the displacement problem of symmetric corner ply composite laminates under anti-plane deformation is studied by using the displacement method of elastic mechanics. The displacement field and stress that satisfy all the basic equations, the continuity between layers and the static boundary condition of crack surface are obtained. Field Expansion. By using the generalized variational principle of zonal instead of the boundary conditions outside the crack surface, the undetermined coefficients in the displacement and stress field expressions are determined, and then the stress intensity factor is determined. Since all the basic equations are satisfied in advance, there is only a linear integral in the variational equation with no surface points. The calculation shows that the preparation of the method in this paper is simple, the result is fast convergence when calculating the saving time.