Based on micropolar continuum theory, the closed-form stiffness tensor of auxetic chiral lattices with V-shaped wings and rotational joints were derived. Representative volume element (RVE) of the chiral lattice was decomposed into V-shape wings with fourfold symmetry. A unified V-beam finite element was developed to reduce the nodal degrees of freedoms of the RVE to enable closed-form analytical solutions. The elasticity constants were derived as functions of the angle of the V-shaped wings, nondimensional in-plane thickness of the ribs, and the stiffness of the rotational joints. The influences of these parameters on the coupled chiral and auxetic effects were systematically explored. The results show that the elastic moduli were significantly influenced by all three parameters, while Poisson's ratio was barely influenced by the in-plane thickness of the ribs but is sensitive to the angle of the V-shaped wings and the stiffness of the rotational springs. There is a transition region out of which the spring stiffness does not considerably affect the auxeticity and the overall lattice stiffness.
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April 2019
Research-Article
Micropolar Modeling of Auxetic Chiral Lattices With Tunable Internal Rotation
Hassan Bahaloo,
Hassan Bahaloo
Department of Mechanical Engineering,
University of New Hampshire,
Durham, NH, NH03824
University of New Hampshire,
Durham, NH, NH03824
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Yaning Li
Yaning Li
Department of Mechanical Engineering,
University of New Hampshire,
Durham, NH, NH03824
e-mail: yaning.li@unh.edu
University of New Hampshire,
Durham, NH, NH03824
e-mail: yaning.li@unh.edu
Search for other works by this author on:
Hassan Bahaloo
Department of Mechanical Engineering,
University of New Hampshire,
Durham, NH, NH03824
University of New Hampshire,
Durham, NH, NH03824
Yaning Li
Department of Mechanical Engineering,
University of New Hampshire,
Durham, NH, NH03824
e-mail: yaning.li@unh.edu
University of New Hampshire,
Durham, NH, NH03824
e-mail: yaning.li@unh.edu
1Corresponding author.
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received September 27, 2018; final manuscript received December 25, 2018; published online January 30, 2019. Assoc. Editor: Shaoxing Qu.
J. Appl. Mech. Apr 2019, 86(4): 041002 (11 pages)
Published Online: January 30, 2019
Article history
Received:
September 27, 2018
Revised:
December 25, 2018
Citation
Bahaloo, H., and Li, Y. (January 30, 2019). "Micropolar Modeling of Auxetic Chiral Lattices With Tunable Internal Rotation." ASME. J. Appl. Mech. April 2019; 86(4): 041002. https://doi.org/10.1115/1.4042428
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