Title: Finite Element Analysis of Quasi-Static Crush Energy in Closed Cell Aluminum Foam using Voronoi Tessellation
Authors: Min Mao, Jungjin Park, John Howard, Norman Wereley
DOI: 10.33599/nasampe/s.25.0224
Abstract: A novel Voronoi closed-cell foam model was developed to perform finite element analysis (FEA) to accurately capture the stress-strain behaviors exhibited by real foam blocks under uniaxial crush. The cellular structure of aluminum foam was imaged, and then two software packages, LAMMPS and Voro++, were used to construct a detailed Voronoi tessellation of the microstructure and porosity of the foam. This tessellation was then refined in MATLAB, where density adjustments created a representative base matrix of Voronoi cells. Using a further software package, NX12, the final Voronoi foam model was refined to efficiently apply FEA. In ABAQUS, multi-step FEM techniques were used to simulate the load-stroke profile under quasistatic crush. The stress-strain curve predicted from this FEA closely mirrored the data from our quasi-static crush tests, so that the Voronoi tessellation-based closed-cell foam model was effective at predicting energy absorption under crush. The Voronoi tessellation enables perturbations in cell size distributions, foam density, and material composition within the FEA framework, so that aluminum foams can be designed for specific load vs. stroke requirements.
References: 1. Christophe Baley, Alain Bourmaud, Peter Davies, Eighty years of composites reinforced by flax fibres: A historical review, Composites Part A: Applied Science and Manufacturing, 144, 2021, 106333. https://doi.org/10.1016/j.compositesa.2021.106333 2. F. Balo, L.S. Sua, Green Composites in Aviation: Optimizing Natural Fiber and Polymer Selection for Sustainable Aircraft Cabin Materials, Textiles 4, 2024, 561-581. https://doi.org/10.3390/textiles4040033 3. L. Q. N. Tran, X. W. Yuan, D. Bhattacharyya, C. Fuentes, A. W. Van Vuure, and I. Verpoest, Fiber-matrix interfacial adhesion in natural fiber composites, International Journal of Modern Physics B 29, 2015, 1540018. https://doi.org/10.1142/S0217979215400184 4. Elaheh Sedghamiz, Andrea Browning, Caroline Krauter, Caroline, Leveraging the behaviour of interfaces in composites and coatings for materials design, 2023, SAMPE EU Madrid Spain. 5. Catarina Costa, André Viana, Carla Silva, Eduardo F. Marques, Nuno G. Azoia, Recycling of textile wastes, by acid hydrolysis, into new cellulosic raw materials, Waste Management, 153, 2022, 99-109. https://doi.org/10.1016/j.wasman.2022.08.019 6. Qiangqiang Cui, Jing Yu, Jing Li, Cheng Zeng, Fan Bu, Xiaohong Liao, Hongzhi Hu, Zihui Liang, Chao Chen, and Changhai Yi, Efficient Recycling of Glucose from Cellulose in Textiles Waste by Solid Catalysts, Biomacromolecules, 25, 2025, 591-600. https://doi.org/10.1021/acs.biomac.4c01382 7. Materials Science Suite. 2022, 2023 Schrödinger, LLC: New York, NY. 8. Yoshiharu Nishiyama; Paul Langan; Henri Chanzy, Crystal Structure and Hydrogen-Bonding System in Cellulose Iβ from Synchrotron X-ray and Neutron Fiber Diffraction, Journal of the American Chemical Society, 124, 2002, 9074 – 9082. https://doi.org/10.1021/ja0257319 9. Roos, K.; Wu, C.; Damm, W.; Reboul, M.; Stevenson, J. M.; Lu, C.; Dahlgren, M. K.; Mondal, S.; Chen, W.; Wang, L.; Abel, R.; Friesner, R. A.; Harder, E. D., OPLS3e: Extending Force Field Coverage for Drug-Like Small Molecules. Journal of Chemical Theory and Computation 2019, 15 (3), 1863-1874. https://doi.org/10.1021/acs.jctc.8b01026 10. Fumio Tanaka, Tadahisa Iwata, Estimation of the Elastic Modulus of Cellulose Crystal by Molecular Mechanics Simulation, 13, 2006, 509-517. https://doi.org/10.1007/s10570-006-9068-x 11. Stefan Grimme, Exploration of Chemical Compound, Conformer, and Reaction Space with Meta-Dynamics Simulations Based on Tight-Binding Quantum Chemical Calculations, J. Chem. Theory Comput. 15, 2019, 2847–2862. https://doi.org/10.1021/acs.jctc.9b00143 12. Q. Wang, H. Song, S. Pan, S. et al. Initial pyrolysis mechanism and product formation of cellulose: An Experimental and Density functional theory (DFT) study. Sci Rep 10, 2020, 3626. https://doi.org/10.1038/s41598-020-60095-2
Conference: SAMPE 2025
Publication Date: 2025/05/19
SKU: TP25-0000000224
Pages: 6
Price: $12.00
Get This Paper