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Designing complex re-entrant honeycombs with optimal auxeticity

Lookup NU author(s): Dr Pooya SarehORCiD

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This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).

Abstract

© 2025 The Author(s).Due to their distinctive mechanical properties, re-entrant honeycomb structures have attracted significant attention across various engineering fields, including aerospace applications. In this work, we propose a complex multi-node re-entrant honeycomb metastructure along with a corresponding design methodology. The mechanical behavior of these metastructures is accurately characterized using the stiffness matrix method. A genetic algorithm is employed to optimize the coordinates of internal nodes, minimizing the Poisson’s ratio under small deformations within a large design space. The results demonstrate that the proposed theoretical approach and optimization framework achieve high accuracy. Moreover, the optimized metastructure exhibits a significantly more negative Poisson’s ratio than conventional designs. The framework is also extensible to three-dimensional (3D) structures, with the 3D stiffness matrix method enabling the successful optimization of 3D multi-node re-entrant metastructures. Additionally, by integrating the Updated Lagrangian method with the genetic algorithm, the desired Poisson’s ratio can be maintained under large strains.

Publication metadata

Author(s): Shao Z, Chen Y, Gao J, Shen Z, Feng J, Sareh P

Publication type: Article

Publication status: Published

Journal: Aerospace Science and Technology

Year: 2026

Volume: 168

Issue: Part G

Print publication date: 01/01/2026

Online publication date: 23/11/2025

Acceptance date: 21/11/2025

Date deposited: 15/12/2025

ISSN (print): 1270-9638

ISSN (electronic): 1626-3219

Publisher: Elsevier Masson s.r.l.

URL: https://doi.org/10.1016/j.ast.2025.111337

DOI: 10.1016/j.ast.2025.111337

Data Access Statement: Data will be made available on request.

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