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连续介质基本主标架旋率的绝对表示

郭仲衡 梁浩云

郭仲衡, 梁浩云. 连续介质基本主标架旋率的绝对表示[J]. 应用数学和力学, 1991, 12(1): 39-44.
引用本文: 郭仲衡, 梁浩云. 连续介质基本主标架旋率的绝对表示[J]. 应用数学和力学, 1991, 12(1): 39-44.
Guo Zhong-heng, Liang Hao-yun. Absolute Representations of Spins of Principal Frames in a Continuum[J]. Applied Mathematics and Mechanics, 1991, 12(1): 39-44.
Citation: Guo Zhong-heng, Liang Hao-yun. Absolute Representations of Spins of Principal Frames in a Continuum[J]. Applied Mathematics and Mechanics, 1991, 12(1): 39-44.

连续介质基本主标架旋率的绝对表示

Absolute Representations of Spins of Principal Frames in a Continuum

  • 摘要: 本文提供一个一般性的方法,给出至今仅局限于主轴表示的连续介质各种旋率的抽象表达式,从而扩大了各种旋率进一步应用的可能性.
  • [1] Hill, R., On constitutive inequalities for simple materials 1 and II, J. Mech. Phys. solids, 16 (1968),229-242, 315-322.
    [2] Hill, R., Aspects of invariance in solid mechanics, Adv. in Applied Mech. (Ed. Ly Yih, C,S.),18, Academic Press, New York (1978). 1-75.
    [3] 郭仲衡和R. N Dubey,非线性连续介质力学中的“主轴法.,力学进展,13 (1983),1-1.
    [4] Guo Zhong-heng and R. N. Dubey,Spins in a deforming continuum, SM Arch., 9 (1984)53-61.
    [5] Mehrabadi, M. M. and S. Nemat-Nasser, Some basic kinematical relations for finite deformations of continua, hlech. Materials, 6 (1987), 127-138.
    [6] 程莉、黄克智,固化物质导数与标架旋率.力学学报,19 (1987),524-528
    [7] 郭仲衡,连续介质的自旋和伸长率标架旋率,应用数学和力学,8 (1988),1045-1048.
    [8] Nemat-Nasser, S., On finite deformation elasto-plasticity. Int. J. Solids Structures,l8(1982),857-872.
    [9] Spencer, A. J. M., Theory of invariants, Continuum Physics, Vol. 1,(Ed. by A. C. Eringen),Academic Press, New York,(19751.
    [10] 郭仲衡,《张量》(理论和应用),科学出版社,北京(1988).
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出版历程
  • 收稿日期:  1989-12-11
  • 刊出日期:  1991-01-15

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