Comparison of Two High-Precision Triangular Finite Elements for Arbitrary Deep Shells

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Report Number: AFFDL TR 71-160 p. 277-304
Author(s): Cowper, G. Richard, Lindberg, Garry M., Olson, Mervyn D.
Corporate Author(s): National Aeronautical Establishment, National Research Council of Canada, Department of Civil Engineering, University of British Columbia.
Date of Publication: 1973-12
Pages: 29
DoD Task:
Identifier: This paper is part of a conference proceedings. See AD0785968

Two approaches to the finite element analysis of arbitrary deep shells are presented and compared. One approach involves the derivation of a suitable transformation to link shallow shell elements together to form deep shells. The second approach involves the derivation of a curvilinear element based on the general tensorial formula for the strain energy of a thin shell. Both approaches use higher order interpolation functions and both result in triangular finite elements with 36 degrees of freedom, 12 at each node. Results confirm that both approaches give accurate predictions o f stresses as well as displacements. Solutions rapidly converge as the number of elements is increased and engineering accuracy is always attained with just a few elements.

Provenance: Bombardier/Aero

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