This 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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April 2018
Research-Article
Qualitative Analysis and Conceptual Design of Planar Metamaterials With Negative Poisson's Ratio
Sree Kalyan Patiballa,
Sree Kalyan Patiballa
Mem. ASME
Department of Industrial and
Enterprise Systems Engineering,
University of Illinois Urbana-Champaign,
Urbana, IL 61801
e-mail: patibal2@illinois.edu
Department of Industrial and
Enterprise Systems Engineering,
University of Illinois Urbana-Champaign,
Urbana, IL 61801
e-mail: patibal2@illinois.edu
Search for other works by this author on:
Girish Krishnan
Girish Krishnan
Mem. ASME
Department of Industrial and
Enterprise Systems Engineering,
University of Illinois Urbana-Champaign,
Urbana, IL 61801
e-mail: gkrishna@illinois.edu
Department of Industrial and
Enterprise Systems Engineering,
University of Illinois Urbana-Champaign,
Urbana, IL 61801
e-mail: gkrishna@illinois.edu
Search for other works by this author on:
Sree Kalyan Patiballa
Mem. ASME
Department of Industrial and
Enterprise Systems Engineering,
University of Illinois Urbana-Champaign,
Urbana, IL 61801
e-mail: patibal2@illinois.edu
Department of Industrial and
Enterprise Systems Engineering,
University of Illinois Urbana-Champaign,
Urbana, IL 61801
e-mail: patibal2@illinois.edu
Girish Krishnan
Mem. ASME
Department of Industrial and
Enterprise Systems Engineering,
University of Illinois Urbana-Champaign,
Urbana, IL 61801
e-mail: gkrishna@illinois.edu
Department of Industrial and
Enterprise Systems Engineering,
University of Illinois Urbana-Champaign,
Urbana, IL 61801
e-mail: gkrishna@illinois.edu
1Corresponding author.
Manuscript received September 23, 2017; final manuscript received December 11, 2017; published online February 5, 2018. Assoc. Editor: Andreas Mueller.
J. Mechanisms Robotics. Apr 2018, 10(2): 021006 (10 pages)
Published Online: February 5, 2018
Article history
Received:
September 23, 2017
Revised:
December 11, 2017
Citation
Patiballa, S. K., and Krishnan, G. (February 5, 2018). "Qualitative Analysis and Conceptual Design of Planar Metamaterials With Negative Poisson's Ratio." ASME. J. Mechanisms Robotics. April 2018; 10(2): 021006. https://doi.org/10.1115/1.4038977
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