Volume 119, Number 1, July 2017
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||11 September 2017|
Ultra-light hierarchical meta-materials on a body-centred cubic lattice
1 Department of Applied Physics, Aalto University - 02150 Espoo, Finland
2 School of Physics and Astronomy, University of Nottingham - Nottingham, NG7 2RD, UK
3 London Institute for Mathematical Sciences - 35a South Street, Mayfair, London, UK
Received: 24 August 2017
Accepted: 29 August 2017
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.
PACS: 46.32.+x – Static buckling and instability / 46.25.Cc – Theoretical studies / 46.70.Hg – Membranes, rods, and strings
© EPLA, 2017
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