The coupling interaction between nonlinear solitary waves in one-dimensional granular chains and damaged composite material plates is considered. Based on Hertz contact law and meso-mechanical model of stiffness reduction of composite material plates when the fiber breakage is the main damage mode, the coupled differential equations of particle chains and damaged composite material plates are derived. By solving the differential equations with Runge–Kutta method to get the velocity and displacement curves of particles and analyzing the delays and amplitude ratios of reflected waves, it is found that the damage quantity, fiber volume fraction, and thickness of damaged composite material plates as well as gravity have an effect on solitary waves. The preliminary research results provide a theoretical basis for nondestructive testing of damaged composite material plates by using solitary waves.

考虑一维颗粒链中的非线性孤立波与受损复合材料板之间的耦合相互作用。基于赫兹接触定律和以纤维断裂为主要破坏模式的复合材料板刚度降低的细观力学模型，推导了颗粒链与复合材料板损伤的耦合微分方程。通过用Runge-Kutta方法求解微分方程，得到颗粒的速度和位移曲线，并分析反射波的延迟和振幅比，发现损伤的复合材料板的损伤量，纤维体积分数和厚度为以及重力对孤立波都有影响。