Transient Response of Interlaminar Stresses in Laminated Plates with Complexes Boundary, Under Thermal Environment

Abstract

The response histories and distribution of dynamic interlaminar stresses in laminated plates with one side fixed support and others simply supported, under free vibration and thermal environment is investigated based on thermally dynamic differential equations. The layer number and stacking sequence of the laminated plates may be arbitrary. The dynamic mode of displacements takes account of the triangle series. First, the plane stresses are calculated by using geometric equations and generalized Hooke’s law. Then, the interlaminar stresses are derived by integrating the 3-D equations of dynamic equilibrium, and utilizing the given complexes boundary conditions and the continuity conditions between layers. The response histories and distribution of interlaminar stress in the laminated plates under thermal environment are presented considering various vibration modes and stacking sequence. In example calculations, some results are carried out and discussed. From the knowledge of the response histories of interlaminar stresses in the laminated plates under thermal environment, we can evaluate the interlaminar intensity of various composite laminated structures under various vibration modes, stacking sequence, and thermal environment.