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Mathematical Models of Micropolar Elastic Thin Shells

  • Samvel H. SargsyanEmail author
Chapter
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 15)

Abstract

In the present paper on the basis of mathematical (asymptotic) confirmed hypotheses method, depending on the values of dimensionless physical parameters, mathematical models of micropolar elastic thin shells with free rotation, with constrained rotation, with “small transverse stiffness” are constructed. Transverse shear and related to them strains are completely taken into account in the suggested theories of micropolar shells. On the basis of these models specific problems of strength and dynamics of micropolar elastic thin shells, plates and bars can be studied.

Keywords

Micropolar thin shells Free and constrained rotations Asymptotic methods 

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References

  1. 1.
    Altenbach, J., Altenbach, H., Eremeyev, V.A.: On generalized Cosserat-type theories of plates and shells: ashort review and bibliography. Arch. Appl. Mech. 80(1), 73–92 (2010)CrossRefGoogle Scholar
  2. 2.
    Altenbach, H., Eremeyev, V.A.: On the linear theory of micropolar plates. ZAMM 89(4), 242–256 (2009)CrossRefGoogle Scholar
  3. 3.
    Koiter, W.T.: Couple-Stresses in the Theory of Elasticity. Proc. Koninkl. Neterland. Akad. Wetensh. Pt. I-II. 67, 17–44 (1964)Google Scholar
  4. 4.
    Palmov, V.A.: Fundamental equations of the theory of asymmetric elasticity. Applied Mathematics and Mechanics. 28(3), 496–505 (1964)CrossRefGoogle Scholar
  5. 5.
    Pelech, B.L.: Theory of Shells with Finite Transverse Shear Stiffness (in Russian). Naukowa Dumka, Kiev (1973)Google Scholar
  6. 6.
    Sargsyan, S.H.: General theory of elastic thin shells on the basis of asymmetrical theory of elasticity (in Russian). Doklady NAS RA. 108(4), 309–319 (2008)Google Scholar
  7. 7.
    Timoshenko, S., Woinowsky-Krieger, S.: Theory of Plates and Shells. McGraw Hill, New York (1959)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.National Academy of Sciences of the Republic of Armenia, Gyumri State Pedagogical InstituteYerevanArmenia

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