基于内变量损伤模型的复合材料板的非线性动力响应

Nonlinear Dynamic Responses of Composite Plates Based on the Damage Model with Internal State Variables

基于Talreja复合材料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,进而获得了层合板的损伤本构方程及非线性动力学方程,且应用有限差分法和迭代法进行求解.数值结果表明,考虑结构的损伤和损伤演化时,结构的非线性动力响应将发生显著的变化.

Based on the Talreja's damage model with tensor valued internal state variables for composites, the constitutive relations with damage of the plane stress problems for the uni-ply plate were derived. Then the constitutive relations with damage for the laminated plate and the corresponding nonlinear dynamic equations were obtained. By using the finite difference method and iteration method, these equations are solved. Numerical results show that the dynamic responses of the structures will change remarkably when the damage and damage evolution are considered.