DAI Tian-min. Restudy of Theories for Elastic Solids With Microstructure[J]. Applied Mathematics and Mechanics, 2002, 23(8): 771-777.
Citation: DAI Tian-min. Restudy of Theories for Elastic Solids With Microstructure[J]. Applied Mathematics and Mechanics, 2002, 23(8): 771-777.

Restudy of Theories for Elastic Solids With Microstructure

  • Received Date: 2001-03-13
  • Rev Recd Date: 2002-04-01
  • Publish Date: 2002-08-15
  • The dynamical theories of elastic solids with microstructure are restudied and the reason why so many notations have been introduced for derivation of basic equations for such theories is given.In view of the existing problems in those theories the rather general principle of power and energy rate is postulated and the equations of motion,the balance equations of energy rate and energy and the boundary conditions for local and nonlocal theories are naturally derived with help of that principle and the generalized Piola.s theorem.These basic equations and the boundary conditions together with the initial conditions may be used to solve the mixed problems of the dynamical theory of elastic solids with microstructure.
  • loading
  • [1]
    Cosserat E, Cosserat F. Theorie des Corps Deformables[M]. Paris: Hermann, 1909.
    [2]
    Ericksen J, Truesdell C. Exact theory of stress and strain in rods and shells [J]. Arch Rational Mech Anal, 1958,1: 295-323.
    [3]
    Mindlin R D. Microstructure in linear elasticity [J]. Arch Rational Mech Anal,1964,16: 51-77.
    [4]
    Eringen A C, Suhubi E S. Nonlinear theory of simple microelastic solids [J]. Int J Engng Sci, 1964,2: I.198-203,Ⅱ. 389-404.
    [5]
    Green A E, Rivlin R S. Multipolar continuum mechanics [J]. Arch Rational Mech Anal, 1964,17:113-147.
    [6]
    Ciarletta M,Iesan D. Non-Classical Elastic Solids[M]. Boston, London, Melbourne: Longman Scientific & Technical, 1993.
    [7]
    戴天民. 带有微结构的连续统中新的能量守恒定律和C-D不等式[J]. 应用数学和力学,2001,22 (2):119-126.
    [8]
    戴天民. 广义连续统场论中新的功能及功率能率原理[J]. 应用数学和力学,2001,22(11):1111-1118.
    [9]
    Eringen A C. Balance laws of micromorphic continua revisited [J]. Int J Engng Sci, 1992, 30(6): 805-810.
    [10]
    戴天民. 三组非局部极性热力连续统的均衡方程和跳变条件[J]. 中国科学(A辑),1997,27(12):1106-1110.
  • 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 (1841) PDF downloads(625) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return