期刊
MECHANICS OF MATERIALS
卷 95, 期 -, 页码 204-222出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.mechmat.2016.01.009
关键词
Auxetic honeycomb; Irregularity; Negative Poisson's ratio; Elastic moduli; Cellular structure; Random cell angle
资金
- Swansea University through the award of Zienkiewicz Scholarship
- Royal Society of London through the Wolfson Research Merit award
An analytical framework has been developed for predicting the equivalent in-plane elastic moduli (longitudinal and transverse Young's modulus, shear modulus, Poisson's ratios) of irregular auxetic honeycombs with spatially random variations in cell angles. Employing a bottom up multi-scale based approach, computationally efficient closed-form expressions have been derived in this article. This study also includes development of a highly generalized finite element code capable of accepting number of cells in two perpendicular directions, random structural geometry and material properties of irregular auxetic honeycomb and thereby obtaining five in-plane elastic moduli of the structure. The elastic moduli obtained for different degree of randomness following the analytical formulae have been compared with the results of direct finite element simulations and they are found to be in good agreement corroborating the validity and accuracy of the proposed approach. The transverse Young's modulus, shear modulus and Poisson's ratio for loading in transverse direction (effecting the auxetic property) have been found to be highly influenced by the structural irregularity in auxetic honeycombs. (C) 2016 Elsevier Ltd. All rights reserved.
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