文献类型：期刊文献

中文题名：饱和不可压正交各向异性多孔弹性板的动力弯曲分析

英文题名：Dynamic Bending Analysis of Incompressible Saturated Orthotropic Poroelastic Plates with In-plane Diffusion

作者：邱卫东[1];何录武[1]

机构：[1]华东理工大学机械与动力工程学院,上海200237

年份：2008

卷号：29

期号：2

起止页码：296

中文期刊名：力学季刊

外文期刊名：Chinese Quarterly of Mechanics

收录：CSTPCD;;北大核心:【北大核心2004】；CSCD:【CSCD2011_2012】；

语种：中文

中文关键词：多孔介质理论;多孔弹性板;面内扩散;动力弯曲;拟静态弯曲

外文关键词：porous media theory; poroelastic plate; in-plane diffusion; dynamic bending; quasi-static bending response

摘要：基于多孔介质理论,在Kirchhoff直法线假定以及小变形和线性本构关系前提下,建立了饱和不可压正交各向异性多孔弹性板的线性动力分析模型。针对流体的面内扩散问题,在忽略面内惯性项的影响下,进一步简化了分析模型,给出了相应的基本控制方程以及初始和边界条件的一般描述。根据所建立的模型,采用Fourier级数展开法研究了四边简支透水正交各向异性矩形多孔弹性板在冲击载荷作用下的拟静态和动力弯曲响应,数值分析了不同参数下孔隙流体压力等效弯矩、固相有效应力等效弯矩以及挠度的变化规律和动力特征。研究表明在外载荷作用初始阶段,孔隙流体对板弯曲变形的影响不可忽视。
Based on the theory of porous media, with the hypothesis of Kirchhoff and small deformation of solid phase, a dynamic bending mathematical model of incompressible saturated orthotropic poroelastic plates with in-plane diffusion was established, And the corresponding boundary and initial conditions were also presented. The dynamic and quasi-static bending responses of a rectangular incompressible saturated orthorropic poroelastic simply supported plate with permeable conditions, subjected to a step load, were investigated by Fourier series method. The numerical results reveal the dynamical behaviors of the pore pressure moment resultant and the effective stress moment resultant in the incompressible saturated orthotropic poroelastic plates.