Vol. 13, No. 1, 2018

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ISSN: 1559-3959
Extreme Cosserat elastic cube structure with large magnitude of negative Poisson's ratio

Carlos Andrade, Chan Soo Ha and Roderic S. Lakes

Vol. 13 (2018), No. 1, 93–101
DOI: 10.2140/jomms.2018.13.93
Abstract

A structure consisting of pivoting cubes is presented. It has zero Young’s modulus and zero bulk modulus. Poisson’s ratio has large negative values in all directions; the structure exhibits anisotropy in Poisson’s ratio. The structure is compliant in tension but rigid in torsion and bending. The Cosserat characteristic length tends to infinity.

Keywords
auxetic, negative Poisson's ratio, Cosserat, metamaterial
Milestones
Received: 28 November 2017
Revised: 18 December 2017
Accepted: 22 December 2017
Published: 7 April 2018
Authors
Carlos Andrade
University of Wisconsin
Madison, WI
United States
Chan Soo Ha
University of Wisconsin
Madison, WI
United States
Roderic S. Lakes
Department of Engineering Physics
University of Wisconsin-Madison
Madison, WI
United States