| 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 |
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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 |
| General coupling extended multi-scale finite element method for the elasto-plastic dynamic analysis of heterogeneous saturated porous media |
| 投稿时间：2016-05-13 修订日期：2016-06-10 |
| DOI：10.7511/jslx201604005 |
| 中文关键词: 多尺度有限元法 饱和多孔介质 动力 塑性 非均质 |
| 英文关键词:multi-scale finite element method saturated porous media dynamics plasticity heterogeneity |
| 基金项目:国家自然科学基金（11232003，11272003）；教育部博士点基金（20130041110050）资助项目. |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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. |
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