On nonlinear wave scattering and dynamic stress concentrations in von karman's plates with a cicular cavity

摘要

In this paper, based on the von Karman's plate theory, dynamic large deflections of the plate have been analyzed. Using perturbation method, the scattering of elastic wave and dynamic stress concentrations in the plate with a circular cavity have been studied. The finite deflection problem has been reduced to the solutions of a series of linear partial differential equations. One kind of two equations can be treated as equations of small deflections of plates and another kind of two equations can be simulated equations of plane stress elasticity. A boundary integral equations to solve dynamic stress concentrations at the edge of a cavity in pates is proposed. The two boundary integral equations can alternatively be solved and at last the approximate solution can be obtained.