Abstract
Abstract The Hertzian static contact law predicts the force–indentation relationship for impacted composite laminates inaccurately. An innovative solution method has been developed for the impact contact problem by using volumetric displacements as control variables and discrete patch loadings as state variables. Impact responses are acquired through modal superposition in terms of loading distribution rather than conventional displacement fields. A system of governing equations of contact stresses is derived via an energy variational approach, with three-dimensional boundary conditions and interlaminar continuity taken into account. Using small incremental linearization, the nonlinear impact contact problem involving discrete pressures and the final contact area is solved by iteration. Three-dimensional displacements and stresses can be evaluated throughout the laminated plate for dynamic response.
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