Coupling effect between highly nonlinear solitary waves and composite plate with matrix cracking

Abstract

As a good information carrier, solitary waves have broad application prospects in the field of non-destructive testing. In this paper, we studied the coupling effect between highly nonlinear solitary waves in the one-dimensional particle chain and composite plate with matrix cracking. We based on the tensor internal variable damage model and the residual stiffness model, obtained the couple differential equation of the one-dimensional particle chain and the composite plate with matrix cracking. The fourth-order Runge-Kutta method is used to solve the differential equations, and the change law of the particle velocity, internal force, and displacement curve is obtained. This paper analyzed the influence of the damage amount and the geometric parameters on the reflected solitary waves of composite plates with different material properties. It is found that the reflected waves are sensitive to the thickness of the plate, the average distance between cracks, and the thickness of the damage layer. The research results of this paper have enriched and perfected the theory of nondestructive testing of solitary waves in the field of composite materials and provided broad application prospects for the practical application of one-dimensional particle chains.