Dai Tian-min, Fu Ming-fu, Lin Zhong-xiang, Yang De-pin. Variational Methods for the Problems of Nonconservative Force Fields in the Micropolar Elastodynamics[J]. Applied Mathematics and Mechanics, 1987, 8(11): 943-952.
Citation: Dai Tian-min, Fu Ming-fu, Lin Zhong-xiang, Yang De-pin. Variational Methods for the Problems of Nonconservative Force Fields in the Micropolar Elastodynamics[J]. Applied Mathematics and Mechanics, 1987, 8(11): 943-952.

Variational Methods for the Problems of Nonconservative Force Fields in the Micropolar Elastodynamics

  • Received Date: 1986-09-29
  • Publish Date: 1987-11-15
  • Based on the properties of the convolution and the convolute commutation,some quasi-variational principles for the problems of nonconservative force field in the micropolar elastodynamics are given and verified in this paper.The theorem given in this paper can be applied to the theories of the nonlocal elastic mediums and the nonlocal micropolar elastic mediums.
  • loading
  • [1]
    胡海昌.《弹性为学的变分原理及其应用》,科学出版社(1981).
    [2]
    Washizu,K.,Variational Methods in Elasticity and Plasticity,Pergamon Press(1968).
    [3]
    钱伟长,《变分法及有限元》(上册),科学出版社(1968).
    [4]
    Segel,Lee A.,Mathematics Applied to Continuum Mechanics,Macmillan Publishing Co.Inc(1977).
    [5]
    钱伟长,弹性理论中广义变分原理的研究及其在有限元计算中的应用,力学与实践,1,2(1979)
    [6]
    胡海昌,论弹性体力学和受范体力学中一般变分原理,物理学报10,3(1954),259.
    [7]
    戴天民,非局部微极线性介质理论中的各种互易定理和变分原理,应用数学和力学,1,1(1980),89-105.
    [8]
    Leipholz,H.,On conservative elastic systems of the first and second kind,Ing-Arch 43(1974).
    [9]
    刘殿魁、张其浩,弹性理论中非保守问题的一般变分原理,力学学报,6(1981),562.
    [10]
    Eringen,A.C.and C.B.Kofadav,Polar Field Theories,Acadmic Press(1976).
    [11]
    Eringen,A.C.and E.S.,Suhubi,Elastodynamics Ⅱ(1975).
  • 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 (1614) PDF downloads(540) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return