Low-velocity impact response of a nanocomposite beam using an analytical model

Abstract

Low-velocity impact of a nanocomposite beam made of glass/epoxy reinforced with multi-wall carbon nanotubes and clay nanoparticles is investigated in this study. Exerting modified rule of mixture (MROM), the mechanical properties of nanocomposite including matrix, nanoparticles or multi-wall carbon nanotubes (MWCNT), and fiber are attained. In order to analyze the lowvelocity impact, Euler-Bernoulli beam theory and Hertz’s contact law are simultaneously employed to govern the equations of motion. Using Ritz’s variational approximation method, a set of nonlinear equations in time domain are obtained, which are solved using a fourth order Runge-Kutta method. The effect of different parameters such as adding nanoparticles or MWCNT’s on maximum contact force and energy absorption, stacking sequence, geometrical dimensions (i.e., length, width and height), and initial velocity of the impactor have been studied comprehensively on dynamic behavior of the nanocomposite beam. In addition, the result of analytical model is compared with Finite Element Modeling (FEM).The results reveal that the effect of nanoparticles on energy absorption is more considerable at higher impact energies.