No Cover Image

Journal article 38 views 7 downloads

Robust topological designs for extreme metamaterial micro-structures / Tanmoy Chatterjee, Souvik Chakraborty, Somdatta Goswami, Sondipon Adhikari, Michael Friswell

Scientific Reports, Volume: 11, Issue: 1

Swansea University Authors: Tanmoy Chatterjee, Sondipon Adhikari, Michael Friswell

  • 57411.pdf

    PDF | Version of Record

    © The Author(s) 2021. Tis article is licensed under a Creative Commons Attribution 4.0 International License

    Download (4.57MB)

Abstract

We demonstrate that the consideration of material uncertainty can dramatically impact the optimal topological micro-structural configuration of mechanical metamaterials. The robust optimization problem is formulated in such a way that it facilitates the emergence of extreme mechanical properties of...

Full description

Published in: Scientific Reports
ISSN: 2045-2322
Published: Springer Science and Business Media LLC 2021
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa57411
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract: We demonstrate that the consideration of material uncertainty can dramatically impact the optimal topological micro-structural configuration of mechanical metamaterials. The robust optimization problem is formulated in such a way that it facilitates the emergence of extreme mechanical properties of metamaterials. The algorithm is based on the bi-directional evolutionary topology optimization and energy-based homogenization approach. To simulate additive manufacturing uncertainty, combinations of spatial variation of the elastic modulus and/or, parametric variation of the Poisson’s ratio at the unit cell level are considered. Computationally parallel Monte Carlo simulations are performed to quantify the effect of input material uncertainty to the mechanical properties of interest. Results are shown for four configurations of extreme mechanical properties: (1) maximum bulk modulus (2) maximum shear modulus (3) minimum negative Poisson’s ratio (auxetic metamaterial) and (4) maximum equivalent elastic modulus. The study illustrates the importance of considering uncertainty for topology optimization of metamaterials with extreme mechanical performance. The results reveal that robust design leads to improvement in terms of (1) optimal mean performance (2) least sensitive design, and (3) elastic properties of the metamaterials compared to the corresponding deterministic design. Many interesting topological patterns have been obtained for guiding the extreme material robust design.
College: College of Engineering
Funders: UKRI
Issue: 1