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Snap-Through of Bistable Configurations Generated from Variable Stiffness Composites

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Multiscale Modeling of Heterogeneous Structures

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 86))

Abstract

Structures made of variable stiffness (VS) composites possess a rich design space for bistable configurations that demonstrate different values of curvatures and out-of-plane displacements. In this study, several VS composites are investigated which can yield cylindrical bistable shapes similar to those generated from unsymmetrical cross-plies. Such configurations have been found favorable as a component for certain morphing applications. A semi-analytical model based on the Rayleigh-Ritz approach is presented to calculate the thermally induced multistable shapes as well as the snap-through forces particularly taking into account the curvilinear paths of VS composites. A nonlinear finite element analysis is performed to check the accuracy of the semi-analytical method. Cylindrical shapes generated from VS laminates and the corresponding straight fiber cross-ply laminates are analyzed and compared. The snap-through forces are subsequently calculated and compared for different VS laminates and the straight fiber cross-ply. It is observed that certain VS composites have a significant reduction of snap-through forces but with a marginal difference in out-of-plane displacement as compared to the corresponding straight fiber cross-ply laminate.

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Acknowledgements

The authors acknowledge funding by the German Research Foundation (DFG) within the International Research Training Group (IRTG) 1627—“Virtual Materials and Structures and their Validation”. Ayan Haldar is grateful to Prof. Olivier Allix for simulating discussions and Federica Daghia for helping with the experiments. José Reinoso is grateful for the support of the Spanish Ministry of Economy and Competitiveness (Projects MAT2015-71036-P and MAT2015-71309-P) and the Andalusian Government (Projects of Excellence P11-TEP-7093 and P12-TEP-1050).

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Authors and Affiliations

  1. Institute of Structural Analysis, Leibniz Universität Hannover, Appelstrasse 9A, 30167, Hannover, Germany

    Ayan Haldar, Eelco Jansen & Raimund Rolfes

  2. Elasticity and Strength of Materials Group, School of Engineering, Universidad de Sevilla, Camino de Los Descubrimientos s/n, 41092, Seville, Spain

    José Reinoso

Authors
  1. Ayan Haldar
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  2. José Reinoso
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  3. Eelco Jansen
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  4. Raimund Rolfes
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Correspondence to Ayan Haldar .

Editor information

Editors and Affiliations

  1. University of Zagreb, Zagreb, Croatia

    Jurica Sorić

  2. Institute of Continuum Mechanics, Leibniz Universität Hannover, Hannover, Germany

    Peter Wriggers

  3. LMT Cachan, Cachan, France

    Olivier Allix

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Haldar, A., Reinoso, J., Jansen, E., Rolfes, R. (2018). Snap-Through of Bistable Configurations Generated from Variable Stiffness Composites. In: Sorić, J., Wriggers, P., Allix, O. (eds) Multiscale Modeling of Heterogeneous Structures. Lecture Notes in Applied and Computational Mechanics, vol 86. Springer, Cham. https://doi.org/10.1007/978-3-319-65463-8_4

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  • DOI: https://doi.org/10.1007/978-3-319-65463-8_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-65462-1

  • Online ISBN: 978-3-319-65463-8

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