Impact Response of Non-Homogeneous Layer Bonded to an Elastic Homogeneous Half-Space

Abstract

Impact response of a non-homogeneous layer bonded to an elastic homogeneous half-space is considered in this paper. Sudden torsion is applied to the non-homogeneous layer over a bonded rigid circular disc. Using Laplace and Hankel transforms the mixed boundary value problem is reduced into Fredholm integral equations of second kind. Solving the integral equations, the analytical expression of tortional impact is obtained in the Laplace transform domain. Using Laplace inversion technique numerical values of torque at the surface of the rigid disk are obtained and graphically plotted.