Title: An efficient approach for estimating the elastic characteristics of auxetic lattice plates

Authors: Itthidet Thawon; Duy Vo; Thongchai Fongsamootr; Yuttana Mona; Ramnarong Wanison; Pana Suttakul

Addresses: Office of Research Administration, Chiang Mai University, Chiang Mai, 50200, Thailand ' Duy Tan Research Institute for Computational Engineering (DTRICE), Duy Tan University, Ho Chi Minh City, 700000, Vietnam ' Department of Mechanical Engineering, Faculty of Engineering, Chiang Mai University, Chiang Mai, 50200, Thailand ' Department of Mechanical Engineering, Faculty of Engineering, Chiang Mai University, Chiang Mai, 50200, Thailand ' Department of Mechanical Engineering, Faculty of Engineering, Chiang Mai University, Chiang Mai, 50200, Thailand ' Department of Mechanical Engineering, Faculty of Engineering, Chiang Mai University, Chiang Mai, 50200, Thailand

Abstract: This research introduces an efficient tool to estimate the bending behaviour of auxetic lattice plates constructed by re-entrant hexagonal unit cells. The homogenisation method based on equivalent strain energy is employed to determine the effective elastic properties, including bending moduli, shear modulus, and Poisson’s ratios. This process is done by analysing a unit cell of each lattice type under periodic boundary conditions using the finite element method. For validation, the equivalent continuous models with the obtained effective properties are compared against high-fidelity finite element models through direct structural analysis. Using this approach illustrates the deployment of the effective properties in addressing related engineering challenges through plate problems. This demonstrates the practical applicability of the proposed method in reducing complex solution processes of actual structural shapes. Employing simulations with equivalent homogeneous plates incurs substantially lower computational costs and reduces modelling time compared to detailed simulations of the original one.

Keywords: auxetic; lattice plate; bending response; re-entrant hexagonal unit cells; metamaterial; industry innovation.

DOI: 10.1504/IJASM.2024.142130

International Journal of Agile Systems and Management, 2024 Vol.17 No.4, pp.535 - 551

Received: 05 Mar 2024
Accepted: 27 Jul 2024
Published online: 08 Oct 2024 *

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