含非对称矩形分层的复合材料层合板状态分解-片条合成能量解法

根据叠加原理将横向载荷作用下的含有非对称矩形内部分层的层板进行状态分解,从而将分层问题归结为分层表面上的附加剪切载荷作用下层板附加位移与附加应力的分析,并据此建立一个仅包含分层区的简单的力学模型。进而在分层区中切取平行于边界的无限小的切片,将切片视为含分层的层合梁,其位移模态以相应的层合梁的附加位移模态表示。在此基础上构造层板分层区内满足位移边界条件的位移模态,最后用最小势能原理确定位移幅值的闭合解并且分析了分层区的应力场和能量释放率。 

METHOD OF STATE DECOMPOSITION AND SLICE COMPOSITION ON DISSYMMETRICAL RECTANGULAR DELAMINATION IN COMPOSITE LAMINATE

Using the principle of superposition, a laminate with a dissymmetric delamination under transverse loading is divided into symmetric and antisymmetric states, then the delamination problem comes down to analyze additional displacements and stresses under additional loading. According to it, a simple mechanical model can be established which only includes the delamination area. Then infinitesimal slices can be cut parallel to the boundary in the delamination area, the slices can be reduced to laminated beams with a delamination, and their displacements can be expressed by the analytical solutions of additional displacements of the beam. Based on the displacements of slices, one can get the additional displacement modes of the delamination area, which satisfy the boundary conditions. Finally a closed form solution of additional displacement is obtained by the principle of minimum potential energy, then the stress field and the energy release rate are analyzed.