Distortion of U-Channel Sections in Plastic Bending

When a thin-walled U-channel section is plastically bent, considerable in-plane distortion occurs. The initially flat base of the U is deformed into a circular arc. The sides remain perpendicular to the base so that an angle between the sides develops. In this paper, an analytical expression for the...

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Bibliographic Details
Published in:Journal of manufacturing science and engineering 1999-05, Vol.121 (2), p.208-213
Main Authors: Stelson, K. A, Kramer, A
Format: Article
Language:English
Subjects:
Bending (forming)
Elasticity
Exact sciences and technology
Finite element method
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Numerical methods
Physics
Solid mechanics
Structural and continuum mechanics
Tubes (components)
Viscoelasticity, plasticity, viscoplasticity
Yield stress
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Summary:When a thin-walled U-channel section is plastically bent, considerable in-plane distortion occurs. The initially flat base of the U is deformed into a circular arc. The sides remain perpendicular to the base so that an angle between the sides develops. In this paper, an analytical expression for the amount of distortion is derived based on energy minimization. The expression is purely geometrical indicating that distortion should not depend on material properties. The theory is compared with fourpoint bending experiments of thin-walled channels, with good agreement found.
ISSN:1087-1357
1528-8935
DOI:10.1115/1.2831207