Abstract: Studies have been made of the non-classical nonlinear effects caused by the interaction of micro-damage and Lamb waves in the composite layered plate from the perspective of simulation. The Preisach-Mayergoyz (PM) model is used to describe the dynamic characteristics of the damaged material, which is composed of a large number of hysteresis elements. In the simulation, different Lamb wave modes are generated in the double-layer plate model under different excitation conditions. Combined with the dispersion characteristics of the Lamb wave, these modesare identified as S₀ and A₀ modes, respectively. The simulation results show that the damage detection effects of the two modes are also different. The simulation also further studied the influence of the size and distribution density of the PM model on the Lamb nonlinearity of the S₀ mode. The results show that the nonlinearity detected by Lamb waves can be used to describe the growth and severity of damage.