计算力学学报2016，Vol.33Issue(3)：399-404,6.DOI:10.7511/jslx201603019
横观各向同性饱和介质非轴对称动力响应分离变量解
Separation of variables solution of non-axisymmetrical dynamic response of transversely isotropic saturated porous media
摘要
Abstract
Firstly ,this paper transforms the Biot’s wave equations of transversely isotropic saturated elastic media under the excitation of non‐axisymmetrical simple harmonic into a form w hich can be solved suitably by separation of variables .Secondly ,the general solutions of Biot’s equations and the analytical expression of porous media displacement and stress components can be derived using the separation of variables .Finally ,it also gives numerical results of the surface vertical displacement of half‐space trans‐versely isotropic and poroelastic media under the surface vertical harmonic loads .It also comes to a con‐clusion that the load has no effect on the area outside 30 times the radius of the loading area .It demon‐strates the accuracy and applicability of the present approach .关键词
Biot波动方程/横观各向同性饱和弹性多孔介质/非轴对称动力响应/分离变量法/解析解Key words
Biot’s wave equations/transversely isotropic saturated poroelastic media/non-axisymmetrical dynamic response/separation of variables/analytical solution分类
数理科学引用本文复制引用
王春玲,黄必成,刘俊卿..横观各向同性饱和介质非轴对称动力响应分离变量解[J].计算力学学报,2016,33(3):399-404,6.基金项目
国家自然科学基金面上项目（51178387）；陕西省自然科学基金（2014JM7015）资助项目． （）
