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非均质饱和多孔介质弹塑性动力分析的广义耦合扩展多尺度有限元法

张洪武 卢梦凯 郑勇刚

计算力学学报2016,Vol.33Issue(4):454-461,8.
计算力学学报2016,Vol.33Issue(4):454-461,8.DOI:10.7511/jslx201604005

非均质饱和多孔介质弹塑性动力分析的广义耦合扩展多尺度有限元法

General coupling extended multi-scale finite element method for the elasto-plastic dynamic analysis of heterogeneous saturated porous media

张洪武 1卢梦凯 1郑勇刚1

作者信息

  • 1. 工业装备结构分析国家重点实验室,大连理工大学 运载工程与力学学部工程力学系,大连 116024
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摘要

Abstract

A general coupling extended multiscale finite element method is proposed in this paper for the elasto-plastic dynamic analysis of heterogeneous saturated porous media.First,a general approach for the construction of the multi-scale numerical base functions for both solid and fluid phasesis developed. These constructed functions can not only bridge effectively the coarse and fine scales,but also contain the coupling effect between and the dynamic effect of the two phases.Then,a perturbation method is pro-posed to update the displacement and pore pressure in the downscale computation during the iteration for the elasto-plastic dynamic analysis.Furthermore,multi-node coarse element strategies are adopted to improve the computational accuracy of the proposed multiscale method for heterogeneous problems. Finally,two representative numerical examples are given,which illustrate the high efficiency and accuracy of the proposed method as comparing with the standard finite element method with a fine mesh.

关键词

多尺度有限元法/饱和多孔介质/动力/塑性/非均质

Key words

multi-scale finite element method/saturated porous media/dynamics/plasticity/heterogeneity

分类

建筑与水利

引用本文复制引用

张洪武,卢梦凯,郑勇刚..非均质饱和多孔介质弹塑性动力分析的广义耦合扩展多尺度有限元法[J].计算力学学报,2016,33(4):454-461,8.

基金项目

国家自然科学基金(11232003,11272003) (11232003,11272003)

教育部博士点基金(20130041110050)资助项目 (20130041110050)

计算力学学报

OA北大核心CSCDCSTPCD

1007-4708

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