Guo Zhong-heng. Recent Investigations on Strain and Stress-Rates in Nonlinear Continuum Mechanics[J]. Applied Mathematics and Mechanics, 1983, 4(5): 587-594.
Citation: Guo Zhong-heng. Recent Investigations on Strain and Stress-Rates in Nonlinear Continuum Mechanics[J]. Applied Mathematics and Mechanics, 1983, 4(5): 587-594.

Recent Investigations on Strain and Stress-Rates in Nonlinear Continuum Mechanics

  • Received Date: 1982-12-01
  • Publish Date: 1983-10-15
  • Presenting some recent considerations and results, the present paper deals with two basic concepts of the continuum mechanics, strain- and stress-rates. Upon a brief systematic survey of concepts of strain and stress, a so far unknown explicit expression for the rate of the right stretch tensor is offered in absolute notation. This paper then suggests to distinguish two ways of defining objective stress-rates, Following the second procedure, after analyzing several particular cases, the author proposes a generalized daumann flux, which contains the majority of the existing definitions for stress-rate and the Hill's result as well.
  • loading
  • [1]
    Seth,B,R.,Generalized strain measure with applications to physical,Second-Order Effects in Elasticity,Plasticity and Fluid Dynamics,edited by M,Refiner and D,Abir,New York,Macmillan(1984),162-171.
    [2]
    Hill,R.,Aspects of invariance in solid mechanics,Adv,in Appl,Mech.,18(1978).1-75.
    [3]
    郭仲衡.《非线性弹性理论》北京.科学出版社(1980).
    [4]
    Guo Zhong-heng,Rates of stretch tensors,(将发表于Tournal of Elasticity),
    [5]
    Macveau,D,B.,Die Elementararbeit in einem Kontinuum and die Zuordnuag von Spannung-and Verzerrungstensoren,Z,A,M,P.,19(1968).157-185.
    [6]
    Truesdell,C.,W,Noll,The Non-Liaear Field Theories of Mechanics,Handbuch der physik,Vol,Ⅲ/3,Berlin-Heidelberg-New York,Springer,(1965).
    [7]
    Guo Zhong-heng,Time derivative of tensor fields in non-linear continuum mechanics,Arch,Mech,Stos.,15.1(1963).131-163.
    [8]
    Eringen,A,C.,Continuum Physics Vol,Ⅱ.New York,Acad,press,(1975)
    [9]
    Green,A,E B,C,McInnis,Generalized hypo-elasticity,Proc,Roy,Soc,Edinburgh,A 87(1967).Part Ⅱ,220-230
    [10]
    Dienes,J,K.,On the analysis of rotation and stress rate in deforming bodies,Acta Mech.39(1979),217-232.
  • 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 (1696) PDF downloads(553) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return