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2007, Volume 7, Issue 3: 643-650. Doi: 10.3934/dcdsb.2007.7.643
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The hypercircle theorem for elastic shells and the accuracy of Novozhilov's simplified equations for general cylindrical shells

  • 1.

    Department of Civil Engineering, University of Virginia, Charlottesville, VA 22904-4742

Received:  August 31, 2006
Revised:  November 30, 2006
Published:  April 2007
Abstract Related Papers Cited by
    Abstract
  • The analog of the well-known Prager-Synge hypercircle theorem for three-dimensional, linearly elastic bodies is derived for the linear Sanders-Koiter theory of elastically anisotropic shells under surface and edge loads and then used to compute the accuracy of Novozhilov's simplified equations for an elastically isotropic general cylindrical shell. The key idea is to note that the Novozhilov equations are equivalent to the Sanders-Koiter equations with certain surface loads and distributed dislocations.
    Mathematics Subject Classification: Primary: 74K25; Secondary: 74B05.

    Citation:
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