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Ultra-light hierarchical meta-materials on a body-centred cubic lattice

Rayneau-Kirkhope, Daniel; Mao, Yong; Farr, Robert


Daniel Rayneau-Kirkhope

Associate Professor

Robert Farr


Modern fabrication techniques offer the freedom to design and manufacture structures with complex geometry on many lengthscales, offering many potential advantages. For example, fractal/hierarchical struts have been shown to be exceptionally strong and yet light (Rayneau-Kirkhope D. et al., Phys. Rev. Lett., 109 (2012) 204301). In this letter, we propose a new class of meta-material, constructed from fractal or hierarchical struts linking a specific set of lattice points. We present a mechanical analysis of this meta-material resulting from a body-centred cubic (BCC) lattice. We show that, through the use of hierarchy, the material usage follows an enhanced scaling relation, and both material property and overall efficiency can be optimised for a specific applied stress. Such a design has the potential of providing the next generation of lightweight, buckling-resistant meta-materials.


Rayneau-Kirkhope, D., Mao, Y., & Farr, R. (2017). Ultra-light hierarchical meta-materials on a body-centred cubic lattice. EPL, 119(1), Article 14001.

Journal Article Type Article
Acceptance Date Aug 29, 2017
Online Publication Date Sep 11, 2017
Publication Date Sep 11, 2017
Deposit Date Dec 21, 2017
Publicly Available Date Sep 12, 2018
Journal EPL
Print ISSN 0295-5075
Electronic ISSN 1286-4854
Publisher EPL Association
Peer Reviewed Peer Reviewed
Volume 119
Issue 1
Article Number 14001
Public URL
Publisher URL


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