基于内变量损伤模型的复合材料板的后屈曲分析

基于Talreja张量内变量损伤模型,建立了复合材料单层板平面应力问题的损伤本构关系,进而导出了具初始挠度的考虑损伤效应的复合材料单层板的非线性压屈平衡方程。然后,将未知函数在空间上应用有限差分法离散,在时间上等分为小的时间段,且所有非线性项被线性化,整个问题采用迭代法求解。数值结果表明,损伤将导致结构刚度不断削弱,板的后屈曲变形将随着时间的增加而增加。

POSTBUCKLING ANALYSIS OF COMPOSITE PLATES BASED ON THE DAMAGE MODEL WITH INTERNAL STATE VARIABLES

Based on the Talreja’s damage model with tensor valued internal state variables, the constitutive relations for the plane stress problems of composite uni-ply plates with damage are derived. The nonlinear postbuckling equilibrium equations of those plates with initial deflection are obtained. The unknown functions are separated by using the finite difference method in the space domain, and the time is equally divided into small time intervals. All the nonlinear items are linearized, and the separated equations are solved iteratively. Numerical results show that damages continuously reduce structural rigidities, which causes postbuckling deflections of plates increase as time goes on.