Pretwisted Beams in Axial Tension and Torsion: Analogy with Dipolar Gradient Elasticity and Applications to Textile Materials
Publication: Journal of Engineering Mechanics
Volume 141, Issue 10
Abstract
A technical theory for pretwisted beams that accounts for variable twist (constrained warping) is based on an approximate displacement field that is defined completely in terms of two unknown functions: the axial displacement and the rotation of the cross section about the centroidal axis of the beam, being the coordinate along the axis of the beam. The primary unknowns are determined by minimizing the potential energy of the beam. The problem is then formulated in terms of , and an analogue between the technical theory and a one-dimensional dipolar gradient elasticity model is presented. The application of the theory to textile materials is discussed.
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Acknowledgments
This research has been cofinanced by the European Union (European Social Fund-ESF) and Greek national funds through the operational program Education and Lifelong Learning of the National Strategic Reference Framework (NSRF)–Research Funding Program titled “Heraclitus II. Investing in Knowledge Society through the European Social Fund.”
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Published In
Journal of Engineering Mechanics
Volume 141 • Issue 10 • October 2015
Copyright
© 2015 American Society of Civil Engineers.
History
Received: May 26, 2014
Accepted: Dec 10, 2014
Published online: May 5, 2015
Published in print: Oct 1, 2015
Discussion open until: Oct 5, 2015
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