On the mechanical properties of hierarchical lattices

Article


Banerjee, Sourish. 2014. "On the mechanical properties of hierarchical lattices." Mechanics of Materials. 72, pp. 19-32. https://doi.org/10.1016/j.mechmat.2014.01.009
Article Title

On the mechanical properties of hierarchical lattices

ERA Journal ID4980
Article CategoryArticle
Authors
AuthorBanerjee, Sourish
Journal TitleMechanics of Materials
Journal Citation72, pp. 19-32
Number of Pages14
Year2014
Place of PublicationNetherlands
ISSN0167-6636
1872-7743
Digital Object Identifier (DOI)https://doi.org/10.1016/j.mechmat.2014.01.009
Web Address (URL)https://www.sciencedirect.com/science/article/pii/S0167663614000209
Abstract

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.

Keywordshierarchy; multiscale; cellular; lattice; stiffness; strength
Contains Sensitive ContentDoes not contain sensitive content
ANZSRC Field of Research 2020401699. Materials engineering not elsewhere classified
490407. Mathematical logic, set theory, lattices and universal algebra
401707. Solid mechanics
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Byline AffiliationsCentre of Excellence in Engineered Fibre Composites
Institution of OriginUniversity of Southern Queensland
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