层合板脱层开裂混合状态Hamiltonian元的半解析法

采用准三维模型导出了层合板脱层开裂问题的Ｈａｍｉｌｔｏｎ正则方程，并将有限元法与状态空间法相结合给出一种有效的半解析法，此方法通过层间及裂纹传递矩阵的建立，保证了界面上位移和应力的连续，降低了计算中的未知量数目。

A Semi-Analytical Solution for the Analysis of FractureMechanics Delamination of Composite PlatesBased on Hamiltonian System

By using the qusi-three dimensional medel,the Hamilton canonical equation and transfer matrixmethod for fracture mechanics of delamination in composite plates are presented in this paper.For giv-ing up the assumption of displacements and stresses in the thick direction,the exact solution is derivedby the state space approach,and the relations of state variables at the upper,lower surface of the plateand at the fracture surface is deduced,then the spot method is employed,so the number of variablesis reduced greatly.