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Cosserat elasticity
of octet truss titanium alloy lattices
Karan Goyal, Zachariah Rueger, Evan Davis and Roderic S. Lakes |
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Vol. 16 (2021), No. 5, 645–654
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Abstract |
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The octet truss lattice is known to be stretch dominated and to offer superior mechanical properties compared with foams of identical (low) density and solid composition. In the lattices, size effects in effective modulus were observed; they were of small magnitude, 30% in torsion and 10% in bending. The Cosserat characteristic lengths in torsion (1 mm) and in bending (0.5 mm) are considerably smaller than the cell size, 4.5 mm. The lattice is therefore considered to be weakly Cosserat elastic in comparison with designed lattices for which size effects can exceed a factor of 30, and also in comparison with foams for which size effects can exceed a factor of 8. |
Keywords
Cosserat, micropolar, lattice, metamaterial, octet
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Milestones
Received: 10 December 2021
Accepted: 21 December 2021
Published: 7 August 2022
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Authors |
| Karan Goyal | |
| Department of Engineering Physics
and Department of Materials Science University of Wisconsin Madison, WI 53706 United States |
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| Zachariah Rueger | |
| Kansas City National Security
Campus Kansas City, MO 64147 United States |
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| Evan Davis | |
| Department of Engineering Physics
and Department of Materials Science University of Wisconsin Madison, WI 53706 United States |
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| Roderic S. Lakes | |
| Department of Engineering Physics
and Department of Materials Science University of Wisconsin-Madison Madison, WI 53706-1687 United States |
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