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Finite element theory for curved and twisted beams based on exact solutions for three-dimensional solids Part 2: Anisotropic and advanced beam models

journal contribution
posted on 2023-06-08, 13:54 authored by Yevgen PetrovYevgen Petrov, M Géradin
Consistent finite element formulations for beams made of anisotropic materials and taking into account non-classic, inhomogeneous torsion have been developed. The formulations are based on a kinematical hypothesis that includes exact solutions for three-dimensional solids under terminal loading. They describe warping of the cross-sections in and out of their planes as well as their rigid displacements and rotations. Their large deformation and geometrically exact description by finite rotations are considered for the cases of monoclinic, orthotropic and transversely isotropic materials. Exact solutions for the solid made from a monoclinic material have been deduced. (C) 1998 Elsevier Science S.A. All rights reserved.

History

Publication status

  • Published

Journal

Computer Methods in Applied Mechanics and Engineering

ISSN

0045-7825

Issue

1-4

Volume

165

Page range

93-127

Department affiliated with

  • Engineering and Design Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-11-27

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