LUO Shao-ming, ZHANG Xiang-wei, CAI Yong-chang. The Variational Principles and Application of Nonlinear Numerical Manifold Method[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1265-1270.
Citation: LUO Shao-ming, ZHANG Xiang-wei, CAI Yong-chang. The Variational Principles and Application of Nonlinear Numerical Manifold Method[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1265-1270.

The Variational Principles and Application of Nonlinear Numerical Manifold Method

  • Received Date: 2000-03-09
  • Rev Recd Date: 2000-08-29
  • Publish Date: 2000-12-15
  • The physical-cover-oriented variational principle of nonlinear numerical manifold method (NNMM)for the analysis of plastical problems is put forward according to the displacement model and the characters of numerical manifold method(NMM).The theoretical calculating formulations and the controlling equation of NNMM are derived.As an example,the plate with a hole in the center is calcaulated and the results show that the solution precision and efficiency of NNMM are agreeable.
  • loading
  • [1]
    王芝银,李云鹏. 数值流形方法中的几点改进[J]. 岩土工程学报,1998,20(1):33-36.
    [2]
    朱以文,曾又林,陈明祥. 岩石大变形分析的增量流形方法[J]. 岩石力学与工程学报,1999,18(1):1-5.
    [3]
    鹫津久一郎. 弹性和塑性力学中的变分法[M]. 老亮,郝松林译. 北京: 科学出版社,1984,30-56.
    [4]
    张汝清. 固体力学变分原理及其应用[M]. 重庆:重庆大学出版社,1991,29-45.
    [5]
    石根华. 数值流形方法与非连续变形分析[M]. 裴觉民译. 北京:清华大学出版社,1997,3-22.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2007) PDF downloads(576) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return