正交各向异性平板开孔弹性波的衍射与动应力集中

DIFFRACTION OF FLEXURAL WAVES AND DYNAMIC STRESS CONCENTRATIONS IN ORTHOTROPIC PLATES WITH AN ARBITRARY CUTOUT

摘要

摘要:采用各向异性平板弯曲波动方程及摄动方法，对正交各向异性无限平板开孔弹性波的衍射及动应力集中问题进行了分析研究，得到了在稳态波作用下此种平板满足开孔边界条件波动问题的渐近形式分析解．同时采用复变函数方法及保角映射技术，为求解正交各向异性无限平板开孔弹性波的衍射及动应力集中问题提供了一种统一规范的分析方法

Abstract:In this paper, based on the governing equation for flexural waves of orthotropic plates, diffraction of elastic waves by cutouts and dynamic stress concentrations in the thin plate has been studied. An analytic method to solve dynamic stress concentrations in the plate with an arbitrary cutout is established. An asymptotic expansion solution that satisfies the boundary conditions on the edge of cutouts is obtained. Therefore the solution of the problem can be normalized by means of this method. Numerical re...