General coupling extended multi-scale finite element method for the elasto-plastic dynamic analysis of heterogeneous saturated porous media
Received:May 13, 2016  Revised:June 10, 2016
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DOI:10.7511/jslx201604005
KeyWord:multi-scale finite element method  saturated porous media  dynamics  plasticity  heterogeneity
        
AuthorInstitution
张洪武 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
卢梦凯 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
郑勇刚 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
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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 proposed 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.