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Article

Homogenization Method for Modeling and Analysis of the Honeycomb Structure—Simulation Study and Validation

1
Faculty of Mechanical Engineering, Lodz University of Technology, ul. Stefanowskiego 1-15, 90-924 Lodz, Poland
2
Hitachi Energy, Brown-Boveri Strasse 5, 8050 Zurich, Switzerland
*
Author to whom correspondence should be addressed.
Materials 2025, 18(16), 3884; https://doi.org/10.3390/ma18163884
Submission received: 15 July 2025 / Revised: 24 July 2025 / Accepted: 30 July 2025 / Published: 19 August 2025
(This article belongs to the Section Materials Simulation and Design)

Abstract

This study presents a comprehensive approach to modeling honeycomb structures using the homogenization method, utilizing a Representative Volume Element (RVE) to derive equivalent orthotropic mechanical properties of the honeycomb structure. Three finite element models (two-dimensional and three-dimensional) were examined, considering the decreasing complexity and computational effort associated with each modeling approach. The outcomes of the analysis for each modeling approach were reported, with attention to boundary condition application and numerical singularities. Validation through four-point bending tests and an analytical approach confirmed the model’s ability to replicate the mechanical behavior of the panel. The obtained results have shown perfect agreement between the results of the numerical test employing the proposed model and the experimental test results of real structures. It was found that the proposed simplified numerical model allows for a reduction in the calculation time of c.a. 54%. Additionally, some disadvantages of using procedures included in commercial software such as a black box have been shown.
Keywords: mathematical modeling; homogenization method; representative volume element (RVE); honeycomb panels; numerical simulation mathematical modeling; homogenization method; representative volume element (RVE); honeycomb panels; numerical simulation

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MDPI and ACS Style

Michalski, Ł.; Kubiak, T.; De Mercato, L. Homogenization Method for Modeling and Analysis of the Honeycomb Structure—Simulation Study and Validation. Materials 2025, 18, 3884. https://doi.org/10.3390/ma18163884

AMA Style

Michalski Ł, Kubiak T, De Mercato L. Homogenization Method for Modeling and Analysis of the Honeycomb Structure—Simulation Study and Validation. Materials. 2025; 18(16):3884. https://doi.org/10.3390/ma18163884

Chicago/Turabian Style

Michalski, Łukasz, Tomasz Kubiak, and Luigi De Mercato. 2025. "Homogenization Method for Modeling and Analysis of the Honeycomb Structure—Simulation Study and Validation" Materials 18, no. 16: 3884. https://doi.org/10.3390/ma18163884

APA Style

Michalski, Ł., Kubiak, T., & De Mercato, L. (2025). Homogenization Method for Modeling and Analysis of the Honeycomb Structure—Simulation Study and Validation. Materials, 18(16), 3884. https://doi.org/10.3390/ma18163884

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