The response of viscoelastic composite laminated microplate under low-velocity impact based on nonlocal strain gradient theory for different boundary conditions

The present research aims to analyze the response of viscoelastic laminated composite microplate under microparticle low-velocity impact. Hertz contact law is used to model the impact phenomenon between the microparticle and the microplate. According to Kelvin-Voigt theory, the realistic behavior of the structure is considered by considering the viscoelastic properties. The governing equations of the system are derived based on the first-order shear deformation plate theory (FSDT) and the nonlocal strain gradient theory (NSGT) by employing Hamilton's principle. Galerkin's method is employed to solve differential equations of microplate with different boundary conditions. Afterward, the system of time-dependent equations by applying the Newmark' s method is solved. The parametric study is presented to examine the effect of particle radius, particle initial velocity, nonlocal parameter, length scale parameter, viscoelastic modulus, fiber orientation, and different boundary conditions on the impact response of microplate.