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Removal of shallow shell restriction from Touratier kinematic model

Lookup NU author(s): Dr Andrew Shaw, Professor Peter Gosling


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A mathematical model to quantify the variation of the displacement field through the thickness of a laminated shell has been proposed previously by Beakou and Touratier (1993). Transverse shear deformations were taken into account and thickness correction factors were not required but the analysis was restricted to shallow shells (i.e. the principal radii of shell curvature were both assumed to be large relative to the shell thickness). In this technical note the later restriction is removed by replacing the Cartesian coordinate form of elasticity tensor with the more general curvilinear form. The modified laminate level model coefficients are derived from the expressions for the curvilinear transverse shear stress components by: applying zero transverse shear stress boundary conditions at the top and bottom of the shell and enforcing interlayer layer continuity at each internal lamina interface. The purpose of this model enhancement is to facilitate the development of a degenerate finite element type that can be used to compute the deformation of a non-shallow laminated shell. (C) 2011 Elsevier Ltd. All rights reserved.

Publication metadata

Author(s): Shaw AJ, Gosling PD

Publication type: Article

Publication status: Published

Journal: Mechanics Research Communications

Year: 2011

Volume: 38

Issue: 6

Pages: 463-467

Print publication date: 12/06/2011

ISSN (print): 0093-6413

ISSN (electronic): 1873-3972

Publisher: Pergamon


DOI: 10.1016/j.mechrescom.2011.05.010


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