计算力学学报2017，Vol.34Issue(1)：27-34,8.DOI:10.7511/jslx201701003
饱和两相介质动力固结问题时域求解的精细时程积分方法
Precise time-integration method for the time-domain solution of the dynamic consolidation problem of fluid-saturated porous media
摘要
Abstract
A precise time-integration method for the time-domain solution of the dynamic consolidation problem of fluid-saturated porous media is proposed on the basis of u-p dynamic formulation.The solid-phase displacement u is computed by the precise time-integration algorithm,and the pore fluid pressure p is computed by the backward difference algorithm.The proposed method is verified by a standard numerical example.The characteristic of the proposed method is also investigated.The computational accuracy is compared when several numerical integral methods are employed to calculate the special solution term of u-p dynamic formulation.The computational accuracy of Gauss integral method is also compared when different numbers of integral points are employed.It is shown that (1) the proposed precise time-integration method has fine computational accuracy.(2) Gauss integral method,Simpson integral method and Coates integral method all have fine computational accuracy,while trapezoidal integral method has poor computational accuracy when used to compute the special solution term.(3) the effect of the number of Gauss integral points on computational accuracy is insignificant.关键词
饱和两相介质/动力固结/u-p波动方程/精细时程积分/向后差分Key words
fluid-saturated porous media/dynamic consolidation/u-p dynamic formulation/precise time-integration method/backward difference algorithm分类
建筑与水利引用本文复制引用
李亮,高超,吴利华..饱和两相介质动力固结问题时域求解的精细时程积分方法[J].计算力学学报,2017,34(1):27-34,8.基金项目
国家自然科学基金面上项目(51178011) （51178011）
国家重点基础研究发展计划973计划(2011CB013602)资助项目. （2011CB013602）
