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On the problems of Almansi and Michell for anisotropic Cosserat elastic shells

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Konferencja
Solid Mechanics Conference (36 ; 9-12.09.2008 ; Gdańsk, Poland)
Języki publikacji
EN
Abstrakty
EN
This paper investigates the equilibrium of cylindrical elastic shells under the action of prescribed body loads, external loads on the lateral edges, and resultant forces and moments on the end edges. We consider anisotropic and inhomogeneous cylindrical shells with arbitrary (open or closed) cross-sections, and we employ the linear theory of Cosserat surfaces. We present a method to construct the solutions to the problems of Almansi and Michell. Then, we apply these results to study the deformation of orthotropic and homogeneous circular cylindrical tubes and Cosserat plates.
Rocznik
Strony
195--227
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
  • Department of Mathematics 'A. J. Cuza' Universîty of Iaşi laşi, România, bmircea@uaic.ro
Bibliografia
  • 1. P.M. NAGHDI, The Theory of Shells and Plates, [in:] Handbuch der Physik, Vol. VI a/2, C. TRUESDELL [Ed.], Springer Verlag, Berlin, pp. 425-640, 1972.
  • 2. M.B. RUBIN, Cosserat Theories: Shells, Rods, and Points, Kluwer Academic Publishers, Dordrecht, 2000.
  • 3. E. REISSNER, W.T. TSAI, Pure bending, stretching, and twisting of anisotropic cylindrical shells, J. Appl. Mech., 39, 148-154, 1972.
  • 4. V. BERDICHEVSKY, E. ARMANIOS, A. BADIR, Theory of anisotropic thin-walled closed-cross-section beams, Comp. Eng., 2, 411-432, 1992.
  • 5. P. LADEVEZE, PH. SANCHEZ, J.G. SIMMONDS, Beamlike (Saint-Venant) solutions for fully anisotropic elastic tubes of arbitrary closed cross-section, Int. J. Solids Struct., 41, 1925-1944, 2004.
  • 6. J.L. ERICKSEN, On St. Venant's problem for thin-walled tubes, Arch. Rational Mech. Anal., 70, 7-12, 1979.
  • 7. M.L. WENNER, On torsion of an elastic cylindrical Cosserat surface, Int. J. Solids Struct., 4, 769-776, 1968.
  • 8. M. BIRSAN, The solution of Saint-Venant's problem in the theory of Cosserat shells, J. Elasticity, 74, 185-214, 2004.
  • 9. D. IEJJJAN, Saint-Venant's Problem, Lecture Notes in Mathematics No. 1279, Springer Verlag, Berlin, 1987.
  • 10. C.I. BOR§, Theory of Elasticity for Anisotropic Bodies [in Romanian], Editura Academiei, Bucharest, 1970.
  • 11. G.M. HATIASHVILI, Almansi-Michell Problems for Homogeneous and Composed Bodies [in Russian], Izd. Metzniereba, Tbilisi, 1983.
  • 12. M. BlRSAN, On Saint-Venant's problem for anisotropic Cosserat elastic shells, Int. J. Eng. Sci., 47, 21-38, 2009.
  • 13. M. BlRSAN, Saint-Venant's problem for Cosserat shells with voids, Int. J. Solids Struct., 42, 2033-2057, 2005.
  • 14. A.E. GREEN, P.M. NAGHDI, A theory of laminated composite plates, IMA J. Appl. Math., 29, 1-23, 1982.
  • 15. M. BIRSAN, On the theory of loaded general cylindrical Cosserat elastic shells, Int. J. Solids Struct., 44, 7073-7714, 2007.
  • 16. D. IE§AN, Classical and Generalized Models of Elastic Rods, Chapman & Hall/CRC Press, Boca Raton-London-New York, 2009.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT7-0016-0036
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