The models of nonclassical anisotropic spherical shells

Paper

Ermakov, A.. 2012. "The models of nonclassical anisotropic spherical shells." Pecherski, Ryszard, Rojek, Jerzy and Kowalczyk, Piotr (ed.) 38th Solid Mechanics Conference. Warsaw, Poland 27 - 31 Aug 2012 Warsaw, Poland.
Paper/Presentation Title The models of nonclassical anisotropic spherical shells Paper Ermakov, A. Pecherski, Ryszard, Rojek, Jerzy and Kowalczyk, Piotr Book of Abstracts of the 38th Solid Mechanics Conference 2 2012 Warsaw, Poland http://solmech2012.ippt.gov.pl/Solmech2012-Book%20of%20Abstracts.pdf 38th Solid Mechanics Conference 38th Solid Mechanics ConferenceEvent Date27 to end of 31 Aug 2012Event LocationWarsaw, Poland The problem of stress-strain state of conjugated orthotropic spherical shells under internal pressureby means of new nonclassical shell theories and three–dimensional theory [1] is studied. The comparison of solutions obtained with the use of improved nonclassical shell theories of Rodionova-Titaev-Chernykh (RTCH) [2] and Paliy-Spiro (PS) [3] is done.The improved iterative RTCH theory is based on the following hypotheses:1. transverse tangential and normal stresses are distributed on shell’s thickness according toquadratic and cubic laws respectively;2. tangential and normal components of the displacement vector are distributed on the shell thickness according to quadratic and cubic laws respectively. This theory allows taking into account turns of fibers, their deviation and change of their length.The Paliy-Spiro shells theory is a theory of shells of moderate thickness which assumes the following hypotheses:1. straight fibers of the shell which are perpendicular to its middle surface before deformation remain also straight after deformation;2. cosine of the slope angle of these fibers to the middle surface of the deformed shell is equal to the averaged angle of transverse shear.The influence of relative thickness for the PS, RTCH shells theory and 3D theory were compared. Also the influence of modulus of elasticity ratio on the deformation form is investigated. orthotropic spherical shells 490303. Numerical solution of differential and integral equations 420701. Biomechanics 401707. Solid mechanics Copyright c. 2012 by Institute of Fundamental Technological Research (IPPT) of the Polish Academy of Sciences. Saint Petersburg State University, Russia University of Southern Queensland
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