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自适应有限元极限分析及岩土工程中的应用

李大钟, 郑榕明, 王金安, 杨毅, 李娜

李大钟, 郑榕明, 王金安, 杨毅, 李娜. 自适应有限元极限分析及岩土工程中的应用[J]. 岩土工程学报, 2013, 35(5): 922-929.
引用本文: 李大钟, 郑榕明, 王金安, 杨毅, 李娜. 自适应有限元极限分析及岩土工程中的应用[J]. 岩土工程学报, 2013, 35(5): 922-929.
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LI Da-zhong, CHENG Yung-ming, WANG Jin-an, YANG Yi, LI Na. Application of finite-element-based limit analysis with mesh adaptation in geotechnical engineering[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(5): 922-929.
Citation: LI Da-zhong, CHENG Yung-ming, WANG Jin-an, YANG Yi, LI Na. Application of finite-element-based limit analysis with mesh adaptation in geotechnical engineering[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(5): 922-929.
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自适应有限元极限分析及岩土工程中的应用  English Version

  • 1. 香港理工大学土木与结构工程系，香港; 2. 北京科技大学土木与环境工程系，北京 100083

基金项目: 本重点实验室自2007年2月由教育部正式批准在同济大学立项建设以来，按照教育部重点实验室的开放要求，自2008年起面向国内外征集开放基金项目，连续五年批准了约30项国内外访问学者的申请，取得了持续对外开放、合作与交流的良好效果。经研究，本年度继续设立专项开放研究基金，资助国内外学者和科技工作者来实验室开展科研工作。
详细信息
    作者简介:

    李大钟(1984- )，男，山西朔州人，博士研究生，主要从事岩土工程极限分析及计算力学方面研究。E-mail: ambellstone@gmail.com。 王金安(1958-)，男，河北昌黎人，教授、博士生导师。 王金安(1958-)，男，河北昌黎人，教授、博士生导师。

  • 中图分类号: TU457

Application of finite-element-based limit analysis with mesh adaptation in geotechnical engineering

  • 1. Department of Civil and Structural Engineering, The Hong Kong Polytechnic University, Hong Kong, China; 2. School of Civil and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China)Tel. 010-62334098, E-mail: wjarock@ces.ustb.edu.cnTel. 010-62334098, E-mail: wjarock@ces.ustb.edu.cn

摘要

    摘要
  • 摘要: 为了探讨有限元法极限分析的网格自适应以及锥优化算法在Mohr-Coulomb材料极限分析中的应用，以屈服准则残余和变形为依据提出针对Mohr-Coulomb材料极限分析的有限元自适应策略。对局部网格自适应结合非结构三角形网格在数值极限分析中的表现进行了探讨。通过基于有限元的极限分析方法结合网络自适应寻找潜在滑移面，从而极大程度地提高了数值计算精度。数值算例证明了所提出极限分析网格自适应准则的有效性以及在岩土极限分析中的应用前景。
    Abstract: Refinement strategy based on the yield function slack and deformation is proposed for the finite-element-based limit analysis (FELA) of Mohr-Coulomb materials. Performance of the local mesh adaptation for the unstructured mesh is examined. The potential slip surface is traced by the adaptive procedure incorporated in the FELA such that the accuracy of the obtained bound solution is dramatically improved. The efficiency and the validity of the proposed strategy are well backed up by results of applications in two classical stability problems in geomechanics, namely, the determination of the bearing capacity of strip footing on weightless soil mass and the critical height of a critical cut. The time required in the computation is provided as well which suggests that the numerical limit analysis is both practical and necessary with the newly developed local mesh adaptation and the second-order cone programming. The obtained results reflect the promising future of the FELA as an alternative to the conventional approaches in the stability analysis in geotechnical engineering.
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出版历程
  • 收稿日期:  2011-11-17
  • 发布日期:  2013-05-26

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