Analytical transient analysis of layered composite medium subjected to dynamic inplane impact loadings

this study, the dynamic transient response of a layered composite with n layers under dynamic inplane impact loading on the surface is investigated in detail. One of the objectives of this study is to develop an effective analytical method for determining transient solutions. Complete solution of the contribution for each wave is expressed in an explicit form. These solutions will provide reliable solutions that can guide the development of numerical methods. In analyzing this problem, the waves reflected and refracted by the interfaces within the composite must be taken into account, which will generate infinite waves on each composite layer and make the problem extremely complicated to analyze. The problem is solved by using the Laplace transform method and the inverse transform is evaluated by means of Cagniard’s method. The transient responses of stresses and displacement in the transform domain on each layer are expressed in a closed form. The equation for each wave front propagating in the layered composite is determined in this study. For the numerical investigation of the transient response of stress, a two layered composite medium is analyzed in detail. Copyright ~CI 1996 Elsevier Science Ltd