Parametric Analysis of Auxetic Honeycombs

Stefan Tabacu (), Ana-Gabriela Badea (), Alina-Ionela Aparaschivei and Daniel-Constantin Anghel
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Stefan Tabacu: Faculty of Mechanics and Technology, National University of Science and Technology POLITEHNICA Bucharest, Târgu din Vale, No. 1, 110040 Pitesti, Arges, Romania
Ana-Gabriela Badea: Faculty of Mechanics and Technology, National University of Science and Technology POLITEHNICA Bucharest, Târgu din Vale, No. 1, 110040 Pitesti, Arges, Romania
Alina-Ionela Aparaschivei: Faculty of Mechanics and Technology, National University of Science and Technology POLITEHNICA Bucharest, Târgu din Vale, No. 1, 110040 Pitesti, Arges, Romania
Daniel-Constantin Anghel: Faculty of Mechanics and Technology, National University of Science and Technology POLITEHNICA Bucharest, Târgu din Vale, No. 1, 110040 Pitesti, Arges, Romania

Mathematics, 2025, vol. 13, issue 10, 1-21

Abstract: The auxetic honeycomb can change mechanical behavior from positive to negative Poisson’s ratio by slightly adjusting the geometrical feature. As a first step, the paper investigates existing analytical solutions to the problem to provide the theoretical background. The present study discusses the methodology used to examine these structures using the finite element method and how to adapt simple numerical models to capture structural behavior. Subsequently, the numerical model is used to run parametric analyses to determine the performance and provide the background for discussing the influence of the dimensional set on the response. Following this set of observations, an empirical solution connecting the unit cell to the global structure was formulated. A large dataset is generated to train and check machine-learning applications to develop a helpful tool for predicting the response without numerical and theoretical evaluation models and methods. The machine-learning section investigates the influence of several parameters on the response and the effect of complete versus incomplete datasets.

Keywords: auxetic honeycombs; Poisson’s ratio; parametric analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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