Applied Mathematics and Mechanics

, Volume 9, Issue 12, pp 1109–1112 | Cite as

Spin and rotation velocity of the stretching frame in continuum

  • Guo Zhong-heng


The present paper investigates the conceptual root of the current incorrect mechanical interpretation of the spin in continuum and gives the correct one.


Mathematical Modeling Industrial Mathematic Rotation Velocity Mechanical Interpretation Conceptual Root 
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  1. [1]
    Guo Zhong-heng and R.N. Dubey, “Method of principal axes” in nonlinear continuum mechanics,Advances in Mech.,13, 3 (1983), 1–17. (in Chinses)Google Scholar
  2. [2]
    Coriolis, G., Mémoire sur la manière d'établier les différents principes de la mécanique pour des systems de corps, en les considérant comme assemblages de molécules,J. école Polytech.,15, 24 (1835), 93–132.Google Scholar
  3. [3]
    Stokes, G.G., On the theories of the internal friction of fluid in motion, and of the equilibrium and motion of elastic solids,Trans. Cambridge Phil. Soc.,8 (1845), 287–319.Google Scholar
  4. [4]
    Beltrami, E., Sui principi fondamentali della idrodinamica,Mem. Acad. Sci. Bologna,1, 3 (1871), 431–476.Google Scholar
  5. [5]
    Gosiewski, W., O naturze ruchu wewnatrz elementu pynnego,Pamietnik Akad. Kraków, matprzyr., 17 (1890), 135–142.Google Scholar
  6. [6]
    Truesdell, C. and R.A. Toupin,The Classical Field Theories, Handbuch der Physik,Vol. III/1, Springer, Berlin (1960).Google Scholar
  7. [7]
    Eringen, A.C.,Nonlinear Theory of Continuous Media, McGraw-Hill, New York (1962).Google Scholar
  8. [8]
    Eringen, A.C.,Continuum Physics,Vol. II, Academic Press, New York (1975).Google Scholar
  9. [9]
    Cheng Li and Hwang Keh-chih, On embedded material derivative and frame spin,Acta Mech. Sinica,19, 6 (1987), 524–528. (in Chinese)Google Scholar

Copyright information

© Shanghai University of Technology (SUT) 1988

Authors and Affiliations

  • Guo Zhong-heng
    • 1
  1. 1.Department of MathematicsPeking UniversityBeijing

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