Hsueh Dah-wei. Theorems on the Limit Analysis of Finite Deformation[J]. Applied Mathematics and Mechanics, 1988, 9(3): 189-192.
Citation: Hsueh Dah-wei. Theorems on the Limit Analysis of Finite Deformation[J]. Applied Mathematics and Mechanics, 1988, 9(3): 189-192.

Theorems on the Limit Analysis of Finite Deformation

  • Received Date: 1989-04-19
  • Publish Date: 1988-03-15
  • A generalized variational principle(theorem 1) which is equivalent mathematically to the whole set of equations and conditions and must be satisfied by the limit analysis of finite deformation is proposed in this paper.It is also proved that the limit load deduced from theorem 1 will lie between the lower and upper bounds given by the bound theorems of finite deformation.
  • loading
  • [1]
    Hsueh,D.W.,The principle of virtual velocity and the bound theorems on the limit analysis of finite deformation,Proceedings of the International Conference on Nonlinear Mechanics,Science Press,Shanghai(1985).
    [2]
    Koiter,W.,General theorems for elastic-plastic solids,Progress in Solid Mechanics(ed.by Sneddon and Hill),North-Holland,1(1960).
    [3]
    Mura,T.and S.L.Lee,Application of variational principle of limit analysis,Quart.Appl.Math.,21,3(1963).
    [4]
    钱令希、钟万腮,论固体力学中的极限分析并建议一个一般变分原理,力学学报,6,4(1963).
    [5]
    王仁、黄文彬、曲圣年、赵祖武、梅占馨、王长兴,对"论固体力学中的极限分析并建议一个一般变分原理"的讨论,力学学报8,1(1965),
    [6]
    薛大为,建议一组关于极限分析的定理,科学通报,20,4(1975).
    [7]
    Prager,W.and P.G.Hodge,Theory of Perfectly Plastic Solids,John Wiley & Sons(1951).
    [8]
    解伯民,弹塑性混合体的变分原理及其应用,力学学报,1,3(1957).
  • 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 (1555) PDF downloads(395) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return