Three-dimensional contact dynamics of laminated plates: Part 1. Normal impact

The Hertzian static contact law predicts the force-indentation relationship for impacted composite laminates inaccurately. An innovative solution meth od has been developed for the impact contact problem by using volumetric di splacements as control variables and discrete patch loadings as state varia bles. Impact responses are acquired through modal superposition in terms of loading distribution rather than conventional displacement fields. A syste m of governing equations of contact stresses is derived via an energy varia tional approach, with three-dimensional boundary conditions and interlamina r continuity taken into account. Using small incremental linearization, the nonlinear impact contact problem involving discrete pressures and the fina l contact area is solved by iteration. Three-dimensional displacements and stresses can be evaluated throughout the laminated plate for dynamic respon se. (C) 1999 Elsevier Science Ltd. All rights reserved.