Stochastic mechanics of metamaterials

Mukhopadhyay, T. and Adhikari, S. (2017) Stochastic mechanics of metamaterials. Composite Structures, 162, 85-97. (doi:10.1016/j.compstruct.2016.11.080).

Record type: Article

Abstract

The effect of stochasticity in mechanical behaviour of metamaterials is quantified in a probabilistic framework. The stochasticity has been accounted in the form of random material distribution and structural irregularity, which are often encountered due to manufacturing and operational uncertainties. An analytical framework has been developed for analysing the effective stochastic in-plane elastic properties of irregular hexagonal structural forms with spatially random variations of cell angles and intrinsic material properties. Probabilistic distributions of the in-plane elastic moduli have been presented considering both randomly homogeneous and randomly inhomogeneous stochasticity in the system, followed by an insightful comparative discussion. The ergodic behaviour in spatially irregular lattices is investigated as a part of this study. It is found that the effect of random micro-structural variability in structural and material distribution has considerable influence on mechanical behaviour of metamaterials.

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Published date: 15 February 2017

Additional Information: Funding Information: TM acknowledges the financial support from Swansea University through the award of Zienkiewicz Scholarship. SA acknowledges the financial support from The Royal Society of London through the Wolfson Research Merit award. Publisher Copyright: © 2016 Elsevier Ltd

Keywords: Ergodic, Hexagonal lattice, Metamaterial, Random micro-structure, Sensitivity, Stochastic