计算力学学报2017，Vol.34Issue(5)：579-585,7.DOI:10.7511/jslx201705007
流体饱和多孔介质动力问题的显式时域解法
An explicit integrator method for the dynamic problem of fluid-saturated porous medium in time domain
摘要
Abstract
Zienkiewicz et al .(1980)established the dynamic solid-fluid coupled equations in u-p form for fluid-saturated porous media based on Biot's consolidation theory with the variables of displacement u and pore pressure p ,by neglecting the acceleration of the pore fluid with respect to the solid skeleton .In this study ,for the u-p equations ,the Galerkin finite element method is used to discrete the computing space domain ,combined with a diagonal mass matrix and the fluid compression matrix to ignoring the coupling between the inertia and fluid compression between adjacent nodes .In time domain ,based on explicit algorithms derived by Du and Wang (2000 ) and the Euler predictor-corrector method ,a completely explicit method with second-order accuracy is proposed .A one-dimensional model of saturated soil is used to compare the numerical solution by the proposed method and the analytical solution derived by Simon(1984) .The good agreement between the results obtained by the two methods indicates the accuracy of the proposed method .Finally ,a two-dimensional model of saturated soil is analyzed .Two examples with different permeable coefficients or drained boundaries are analysed to reveal the effect on the dynamic responses of saturated porous medium .关键词
流体饱和多孔介质/u-p格式动力方程/矩阵对角化/全显式时域积分法Key words
fluid-saturated porous media/u-p formulation/matrix diagonalization/completely explicit integrator method/time domain分类
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宋佳,许成顺,杜修力,李亮..流体饱和多孔介质动力问题的显式时域解法[J].计算力学学报,2017,34(5):579-585,7.基金项目
973计划项目(2011CB013600 ) （2011CB013600 ）
国家自然科学基金创新群体项目(51421005 ) （51421005 ）
国家自然科学基金面上项目(51578026 )资助项目 . （51578026 ）
