Three-dimensional contact dynamics of laminated plates: Part 2. Oblique impact with friction

This research deals with the oblique impact contact of a simply supported l aminated plate by a rigid impactor, in which the moving boundary problem is composed of an undetermined contact area and undetermined contact stresses distribution with anisotropic friction. By using the three-dimensional the ory of laminated plates and shells, an innovative solution method is introd uced for the governing equations of contact stresses via the energy variati on and contact mechanics approach. Volumetric displacements and discrete pa tch loadings are considered as control variables and state variables, respe ctively. Three-dimensional boundary conditions with contact surface anisotr opic friction, interlaminar continuity of layer displacements, and transver se stresses are included. Impact responses are acquired through modal super position in terms of the loading distribution rather than conventional disp lacement fields. Using small incremental linearization, the non-linear obli que impact contact problem (involving discrete pressures and the final cont act area) is solved by iteration. Three-dimensional dynamic displacements a nd stresses can be evaluated throughout the laminated plate. (C) 1999 Elsev ier Science Ltd. All rights reserved.