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research-article

Qualitative Analysis and Conceptual Design of Planar Metamaterials with Negative Poisson's Ratio

[+] Author and Article Information
Sreekalyan Patiballa

Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801
patibal2@illinois.edu

Girish Krishnan

Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801
gkrishna@illinois.edu

1Corresponding author.

ASME doi:10.1115/1.4038977 History: Received September 23, 2017; Revised December 11, 2017

Abstract

his paper presents a new mechanics-based framework for the qualitative analysis and conceptual design of mechanical metamaterials, and specifically materials exhibiting auxetic behavior. The methodology is inspired by recent advances in the insightful synthesis of compliant mechanisms by visualizing a kinetostatic field of forces that flow through the mechanism geometry. The framework relates load flow in the members of the microstructure to the global material properties, thereby enabling a novel synthesis technique for auxetic microstructures. This understanding is used to qualitatively classify auxetic materials into two classes, namely high-shear and low-shear microstructures. The ability to achieve additional attributes such as isotropy is shown to be related to the qualitative class that the microstructure belongs.

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