Vol. 16, No. 5, 2021

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Cosserat elasticity of octet truss titanium alloy lattices

Karan Goyal, Zachariah Rueger, Evan Davis and Roderic S. Lakes

Vol. 16 (2021), No. 5, 645–654
Abstract

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
Milestones
Received: 10 December 2021
Accepted: 21 December 2021
Published: 7 August 2022
Authors
Karan Goyal
Department of Engineering Physics and Department of Materials Science
University of Wisconsin
Madison, WI 53706
United States
Zachariah Rueger
Kansas City National Security Campus
Kansas City, MO 64147
United States
Evan Davis
Department of Engineering Physics and Department of Materials Science
University of Wisconsin
Madison, WI 53706
United States
Roderic S. Lakes
Department of Engineering Physics and Department of Materials Science
University of Wisconsin-Madison
Madison, WI 53706-1687
United States