期刊
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
卷 49, 期 17, 页码 2239-2253出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2012.04.022
关键词
Auxetic isotropic structures; Homogenisation; Cosserat continuum; Reinforcing core
类别
资金
- Australian Research Council [DP0773839]
- Australian Research Council [DP0773839] Funding Source: Australian Research Council
A new design principle is suggested for constructing auxetic structures - the structures that exhibit negative Poisson's ratio (NPR) at macroscopic level. We propose 2D assemblies of identical units made of a flexible frame with a sufficiently rigid reinforcing core at the centre. The core increases the frame resistance to the tangential movement thus ensuring high shear stiffness, whereas the normal stiffness is low being controlled by the local bending response of the frame. The structures considered have hexagonal symmetry, which delivers macroscopically isotropic elastic properties in the plane perpendicular to the axis of the symmetry. We determine the macroscopic Poisson's ratio as a ratio of corresponding relative displacements computed using the direct microstructural approach. It is demonstrated that the proposed design can produce a macroscopically isotropic system with NPR close to the lower bound of -1. We also developed a 2D elastic Cosserat continuum model, which represents the microstructure as a regular assembly of rigid particles connected by elastic springs. The comparison of values of NPRs computed using both structural models and the continuum approach shows that the continuum model gives a healthy balance between the simplicity and accuracy and can be used as a simple tool for design of auxetics. (C) 2012 Elsevier Ltd. All rights reserved.
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