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Auxeticity in truss networks and the role of bending versus stretching deformation

Desmoulins, Albert and Zelhofer, Alex J. and Kochmann, Dennis M. (2016) Auxeticity in truss networks and the role of bending versus stretching deformation. Smart Materials and Structures, 25 (5). Art. No. 054003. ISSN 0964-1726. https://resolver.caltech.edu/CaltechAUTHORS:20160602-155105420

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Abstract

Auxetic behavior (i.e., a negative value of Poisson's ratio) has been reported for a variety of cellular networks including truss structures. Commonly, this implies that the geometric arrangement of truss members within a periodic unit cell is designed to achieve the negative Poisson effect, e.g., in the reentrant honeycomb configuration. Here, we show that elastic periodic truss lattices can be tuned to display auxeticity by controlling the ratio of bending to stretching stiffness. If the nodal stiffness (or the bending stiffness) is low compared to the stretching stiffness of individual truss members, then the lattice is expected to exhibit a positive Poisson's ratio, showing lateral expansion upon uniaxial compression. In contrast, if the nodal or bending stiffness is high (and buckling is prevented), the lattice may reveal auxetic behavior, contracting laterally under uniaxial compression. This effect is demonstrated in two dimensions for the examples of square and triangular lattices, and it is confirmed both analytically in the limit of small strains as well as numerically for finite elastic deformation. Under large deformation, instability additionally gives rise to auxetic behavior due to truss buckling.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1088/0964-1726/25/5/054003 DOIArticle
http://iopscience.iop.org/article/10.1088/0964-1726/25/5/054003/metaPublisherArticle
ORCID:
AuthorORCID
Zelhofer, Alex J.0000-0002-8064-2876
Kochmann, Dennis M.0000-0002-9112-6615
Additional Information:© 2016 IOP Publishing Ltd. Received 29 September 2015. Accepted 5 January 2016. Published 8 April 2016.
Group:GALCIT
Issue or Number:5
Record Number:CaltechAUTHORS:20160602-155105420
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160602-155105420
Official Citation:Albert Desmoulins et al 2016 Smart Mater. Struct. 25 054003
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67591
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:02 Jun 2016 23:03
Last Modified:03 Oct 2019 10:07

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