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Modeling distortional shear in thin-walled elastic beams

Saadé, K. / Warzée, G. / Espion, B.

AbstractIn this paper, the theoretical background and the numerical analyses of an advanced beam finite element that relaxes the hypothesis of the cross-section non-deformability are presented. The corresponding new modes, called distortional modes, are added to the modes describing the behavior of a classical thin-walled beam: tension/compression, bending and torsion. For instance, a load acting in a cross-sectional plane of a beam is considered to induce not only bending and torsion but also distortion. The distortion produces non-uniform shear and axial stresses together with a non-uniform warping of the cross-section. These resulting effects, significant for very thin-walled open profiles (and thin-walled closed profiles with high distortional loadings), are shown in this paper to be important when compared to bending and torsion stresses even in simple loading cases.

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Modeling distortional shear in thin-walled elastic beams

Saadé, K. / Warzée, G. / Espion, B.

AbstractIn this paper, the theoretical background and the numerical analyses of an advanced beam finite element that relaxes the hypothesis of the cross-section non-deformability are presented. The corresponding new modes, called distortional modes, are added to the modes describing the behavior of a classical thin-walled beam: tension/compression, bending and torsion. For instance, a load acting in a cross-sectional plane of a beam is considered to induce not only bending and torsion but also distortion. The distortion produces non-uniform shear and axial stresses together with a non-uniform warping of the cross-section. These resulting effects, significant for very thin-walled open profiles (and thin-walled closed profiles with high distortional loadings), are shown in this paper to be important when compared to bending and torsion stresses even in simple loading cases.

Modeling distortional shear in thin-walled elastic beams

Saadé, K. / Warzée, G. / Espion, B.

AbstractIn this paper, the theoretical background and the numerical analyses of an advanced beam finite element that relaxes the hypothesis of the cross-section non-deformability are presented. The corresponding new modes, called distortional modes, are added to the modes describing the behavior of a classical thin-walled beam: tension/compression, bending and torsion. For instance, a load acting in a cross-sectional plane of a beam is considered to induce not only bending and torsion but also distortion. The distortion produces non-uniform shear and axial stresses together with a non-uniform warping of the cross-section. These resulting effects, significant for very thin-walled open profiles (and thin-walled closed profiles with high distortional loadings), are shown in this paper to be important when compared to bending and torsion stresses even in simple loading cases.

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Title:

Modeling distortional shear in thin-walled elastic beams

Contributors:

Saadé, K. (author) / Warzée, G. (author) / Espion, B. (author)

Published in:

Thin-Walled Structures ; 44 ; 808-821

Publication date:

2006-04-10

Size:

14 pages

ISSN:

DOI:

https://doi.org/10.1016/j.tws.2006.04.003

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

Distortion , Finite-element method , Non-uniform distortional warping , Thin-walled beams

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