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Medium of Complex Structure

  • Isaak A. Kunin
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 26)

Abstract

A movement of a particle in a medium of complex structure is described by the displacement of the mass center of the particle and by additional internal degrees of freedom: microrotations and microdeformations. In this chapter starting from simple models, we develop a general theory of media of complex structure. Essential attention is paid to new physical effects, approximate models and a transition to the classical local models.

Keywords

Dispersion Curve Force Constant Elastic Energy Simple Structure Couple Stress 
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References

  1. 3.1
    D. Jackson: Fourier Series and Orthogonal Polynomials ( The Mathematical Association of America, Oberlin 1941 )Google Scholar
  2. 3.2
    G.Ia. Lubarski: Teoria Group i Primenenia v Fizike (Groups Theory and its Application in Physics) ( Fizmatgiz, Moscow 1958 )Google Scholar
  3. 3.3
    A.O. Gel’fond: Calcul des Differences Finies ( Dunod, Paris 1963 )Google Scholar
  4. 3.4
    R.D. Mindlin: Micro-structure in linear elasticity. Arch. Rat. Mech. Anal. 16, 51–78 (1964)Google Scholar
  5. 3.5
    R.A. Toupin: Theories of elasticity with couple-stresses. Arch. Rat. Mech. Anal. 17, 85–112 (1964)MathSciNetMATHCrossRefGoogle Scholar
  6. 3.6
    H. Bremermann: Distributions, Complex Variables, and Fourier Transforms ( Addison-Wesley, Reading, MA. 1965 )Google Scholar
  7. 3.7
    S. Timoshenko, D.H. Young, W. Weaver: Vibration Problems in Engineering ( Wiley, New York 1974 )Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1982

Authors and Affiliations

  • Isaak A. Kunin
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of HoustonHoustonUSA

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