On the mechanical properties of hierarchical lattices

Banerjee, Sourish ORCID: https://orcid.org/0000-0001-5446-5290 (2014) On the mechanical properties of hierarchical lattices. Mechanics of Materials, 72. pp. 19-32. ISSN 0167-6636


Hierarchical lattices are made of finer lattices in successive smaller scales. This paper analytically studies the effect of hierarchy on the stiffness and strength of self-similar and hybrid type lattices, made by combining two distinct variants of topologies, governed by the bending and stretching dominated architectures. Scaling argument and physical reasoning are used to explain the behaviour of these lattices. The results show that the in-plane stiffness and the elastic buckling strength of the bending-bending lattices progressively improve with hierarchy; in contrast, only the buckling strength improves substantially for the stretching-stretching lattices, while the stiffness decreases. Low density bending-stretching lattices are unique with a significant improvement in stiffness, buckling, plastic collapse or crushing strength with hierarchy, whereas the stretching-bending lattices exhibit flexibility with lower strength. Despite no gain in stiffness, substantial gain in out-of-plane compressive strength is obtained with hierarchy because of the enhanced elastic and plastic buckling strength. Thus the advantage of combining lattices at multiple length scales provides a wide spectrum of choices for tailoring the properties for target applications including high performance core material, energy absorption or packaging.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 2014 Elsevier Ltd. All rights reserved. Published Version restricted.
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Civil Engineering and Surveying (1 Jul 2013 -)
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Civil Engineering and Surveying (1 Jul 2013 -)
Date Deposited: 27 Jul 2014 06:41
Last Modified: 31 Mar 2015 04:53
Uncontrolled Keywords: hierarchy; multiscale; cellular; lattice; stiffness; strength
Fields of Research (2008): 09 Engineering > 0912 Materials Engineering > 091299 Materials Engineering not elsewhere classified
01 Mathematical Sciences > 0101 Pure Mathematics > 010107 Mathematical Logic, Set Theory, Lattices and Universal Algebra
09 Engineering > 0913 Mechanical Engineering > 091308 Solid Mechanics
Fields of Research (2020): 40 ENGINEERING > 4016 Materials engineering > 401699 Materials engineering not elsewhere classified
49 MATHEMATICAL SCIENCES > 4904 Pure mathematics > 490407 Mathematical logic, set theory, lattices and universal algebra
40 ENGINEERING > 4017 Mechanical engineering > 401707 Solid mechanics
Socio-Economic Objectives (2008): E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: https://doi.org/10.1016/j.mechmat.2014.01.009
URI: http://eprints.usq.edu.au/id/eprint/25053

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