Microstructural Effects on the Poisson's Ratio of Star-Shaped Two-Dimensional Systems

Yun Che Wang; Meng Wei Shen; Si Min Liao

doi:10.1002/pssb.201700024

Microstructural Effects on the Poisson's Ratio of Star-Shaped Two-Dimensional Systems

Yun Che Wang, Meng Wei Shen, Si Min Liao

Department of Civil Engineering

Research output: Contribution to journal › Article › peer-review

44 Citations (Scopus)

Abstract

Microstructured plates, consisting of various conventional and re-entrant cells, are numerically constructed and analyzed for their effective elastic properties under in-plane deformation. The finite element numerical method is adopted. The calculated effective Poisson's ratios of the plates are found to be in the range between −1 and 1, in consistency with the theory of two-dimensional elasticity. Auxetic angles need to be greater than about 20° in order to obtain negative Poisson's ratio. Increasing the auxetic angles reduces the effective pure shear modulus. Elastically anisotropic characteristics of the homogenized plate are analyzed with the calculated effective Young's modulus, Poisson's ratio, and pure shear modulus.

Original language	English
Article number	1700024
Journal	Physica Status Solidi (B) Basic Research
Volume	254
Issue number	12
DOIs	https://doi.org/10.1002/pssb.201700024
Publication status	Published - 2017 Dec

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1002/pssb.201700024

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abstract = "Microstructured plates, consisting of various conventional and re-entrant cells, are numerically constructed and analyzed for their effective elastic properties under in-plane deformation. The finite element numerical method is adopted. The calculated effective Poisson's ratios of the plates are found to be in the range between −1 and 1, in consistency with the theory of two-dimensional elasticity. Auxetic angles need to be greater than about 20° in order to obtain negative Poisson's ratio. Increasing the auxetic angles reduces the effective pure shear modulus. Elastically anisotropic characteristics of the homogenized plate are analyzed with the calculated effective Young's modulus, Poisson's ratio, and pure shear modulus.",

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AB - Microstructured plates, consisting of various conventional and re-entrant cells, are numerically constructed and analyzed for their effective elastic properties under in-plane deformation. The finite element numerical method is adopted. The calculated effective Poisson's ratios of the plates are found to be in the range between −1 and 1, in consistency with the theory of two-dimensional elasticity. Auxetic angles need to be greater than about 20° in order to obtain negative Poisson's ratio. Increasing the auxetic angles reduces the effective pure shear modulus. Elastically anisotropic characteristics of the homogenized plate are analyzed with the calculated effective Young's modulus, Poisson's ratio, and pure shear modulus.

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Microstructural Effects on the Poisson's Ratio of Star-Shaped Two-Dimensional Systems

Abstract

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