Zheng Quan-shui, Yang De-pin, Song Gu-quan. Structure of Rod Shell Theories in Hilbert Space[J]. Applied Mathematics and Mechanics, 1992, 13(5): 429-442.
Citation: Zheng Quan-shui, Yang De-pin, Song Gu-quan. Structure of Rod Shell Theories in Hilbert Space[J]. Applied Mathematics and Mechanics, 1992, 13(5): 429-442.

Structure of Rod Shell Theories in Hilbert Space

  • Received Date: 1991-01-09
  • Publish Date: 1992-05-15
  • This paper builds symmetrically general theories of rods and shells under mathematical frame of "Hilbert Space", and successfully obtains the error estimate to the system of theory.
  • loading
  • [1]
    Nordgren,R.P.,A bound on the error in plate theory,Q.Appl.Math.,28(1971),587-595.
    [2]
    Simmonds,J.G.,An improved error estimate in the classical linear theory of plate bending,Q.Appl.Math.,29 (1971),439-447.
    [3]
    Rychter,Z.,A bound on the error in the linear theory of transversely isotropic plate bending,Acta Mechanica,34 (1984),121-126.
    [4]
    Rychter,Z.,An improved error estimate for Reissner's plate theory,Int.J.Solids Struct.,24 (1986),537-544.
    [5]
    Rychter,Z.,Global error estimate in Reissner theory of thin elastic shells,Int.J.Engng.Sci.,(1988),787-795.
    [6]
    夏道行等,《实变函数论及泛函分析》,人民教育出版社(1978).
    [7]
    徐利治、王仁宏、周蕴时,《函数逼近的理论和方法》,上海科技出版社(1983)
    [8]
    郭仲衡,《张量(理论及应用)》,科学出版社(1988)
    [9]
    黄克智,《张量分析》,清华大学出版社(1986)
    [10]
    苏步青,《微分几何》,人民教育出版社(1979).
    [11]
    Flugge,W.,Tensor Analysis and Continuum Mechanics,Springer-Verlag (1972).
    [12]
    德冈辰雄,《理性迫续介质力学入门》(中译本),科学出版社(1982).
  • 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 (2046) PDF downloads(580) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return