An accurate and refined nonlinear beam model accounting for the Poisson effect

An accurate and refined nonlinear beam model accounting for the Poisson effect

E. Ruocco, J.N. Reddy

Abstract. In this paper, an enhanced beam model based on a 5-parameter displacement field, recently proposed by the authors and able to reproduce the Poisson effect in transverse direction is presented, and utilized to simulate the fully geometrically nonlinear response of elastic beam structures. The adoption of the linear solution as approximation functions for the nonlinear case allows prediction of nonlinear response of problems involving complex geometries with a relatively small computational effort. Several numerical examples of benchmark problems are analyzed, highlighting the characteristic features of the proposed five-parameter model and comparing the results with those obtained using the classical Bernoulli beam model and 3D finite element model.

Keywords
Nonlinear Beam Model, Poisson Effect, Large Deformation Analysis, Snap-Back/Through Behavior

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: E. Ruocco, J.N. Reddy, An accurate and refined nonlinear beam model accounting for the Poisson effect, Materials Research Proceedings, Vol. 26, pp 85-90, 2023

DOI: https://doi.org/10.21741/9781644902431-14

The article was published as article 14 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.

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