The extended membrane analogy for an engineered evaluation of the torsional properties of multi-material beams

The extended membrane analogy for an engineered evaluation of the torsional properties of multi-material beams

Laura GALUPPI, Gianni ROYER CARFAGNI

Abstract. Prandtl’s membrane analogy for cylindrical bars under torsion is extended to beams with multi-material cross section of any geometry. It was demonstrated that the problem is governed by equations formally analogue to those describing the deformation of an inflated membrane, differently tensioned in the regions corresponding to the cross-section domains hosting different materials. The analogy allows to evaluate not only the state of stress in the composite bar, but also its torsional stiffness. Here, the proposed method is used to evaluate the torsional response of a wide range of geometries, corresponding to glued multi-material bars, layered composites and laminated glass with reinforcements.

Keywords
De Saint Venant Torsion, Membrane Analogy, Multi-Material Cross Sections

Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Laura GALUPPI, Gianni ROYER CARFAGNI, The extended membrane analogy for an engineered evaluation of the torsional properties of multi-material beams, Materials Research Proceedings, Vol. 26, pp 91-96, 2023

DOI: https://doi.org/10.21741/9781644902431-15

The article was published as article 15 of the book Theoretical and Applied Mechanics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
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