摘要
针对非均质饱和多孔介质弹塑性动力问题分析提出了一种广义耦合扩展多尺度有限元方法。首先,提出了基于细尺度等效刚度阵的粗尺度单元数值基函数构造方法,并给出了构造数值基函数的一般公式,所构造的耦合数值基函数有效考虑了动力相关效应与固液之间的耦合效应。其次,针对弹塑性非线性问题迭代求解,给出了基于摄动方法的位移与孔隙压强降尺度计算修正方案。最后,针对材料的强非均质特征,利用多节点粗单元技术来提高多尺度有限元方法的计算精度。通过与基于精细网格的传统有限元分析结果对比,验证了本文所提出方法的有效性与高效性。
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.
作者
张洪武
卢梦凯
郑勇刚
ZHANG Hong—wu;LU Meng—kai;ZHENG Yong—gang(State Key Laboratory of Structural Analysis for Industrial Equipment,Department of Engineering Mechanics,Faculty of Vehicle Engineering and Mechanics,Dalian University of Technology,Dalian 116023,China)
出处
《计算力学学报》
CAS
CSCD
北大核心
2016年第4期454-461,共8页
Chinese Journal of Computational Mechanics
基金
国家自然科学基金(11232003,11272003)
教育部博士点基金(20130041110050)资助项目
关键词
多尺度有限元法
饱和多孔介质
动力
塑性
非均质
multi-scale finite'element method
saturated porous media
dynamics
plasticity
heterogeneity
