各向异性平板开孔动应力集中问题的研究

On the Dynamic Stress Concentrations in Orthotropic Plates with an Arbitrary Cutout

采用各向异性平板弯曲波动理论及摄动方法，对正交各向异性平板开孔弯曲波的散射及动应力集中问题进行了分析研究，得到了此种平板稳态弯曲波动问题的渐近形式的分析解。同时采用保角映射技术，为求解正交各向异性平板开孔弹性波的散射及动应力集中问题提供了一种统一规范的方法。

In this paper, based on the governing equation for flexural waves of orthotropic plates, deals with scattering of elastic wave by cutouts and dynamic stress concentrations in the thin plate. A complex variable analytic method to solve stress concentrations in the plate with an arbitrary cutout is established. An asymptotic expansion solution and expression fitting the boundary conditions on the edge of cutouts are obtained. Using the orthogonal function expansion technique, the problem can be reduced to the solution of an infinite algebraic equation series. Therefore the solution of the problem can be normalized by means of this method.