Nonlinear Analysis of the In-Plane Young’s Moduli of Two-Dimensional Cellular Materials with Negative Poisson’s Ratios

Abstract:

This study deals with the in-plane Young’s moduli of two-dimensional auxetic cellular materials with negative Poisson’s ratios. The in-plane Young’s moduli of these cellular materials are theoretically analyzed, and calculated from the cell member bending with large deflection. Expressions for the in-plane Young’s moduli of the above-mentioned cellular materials are given by incomplete elliptic integrals. It is found that the in-plane Young’s moduli of two-dimensional cellular materials with negative Poisson’s ratios depend both on the geometry of the cell, and on the induced strain of these cellular materials. The in-plane Young’s moduli are no longer constants at large deformation. But at the limit of small strain, they converge to the results predicted by the small deformation model of flexure.

• Periodical: Key Engineering Materials (Volumes 334-335)
• Pages: 157-160
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.334-335.157
• Online since: March 2007
• Authors: Hui Wan, Zhen Yu Hu, Wu Jun Bao, Guo Ming Hu
• Keywords: Cellular Materials, Negative Poisson's Ratio, Young's Modulus

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