Practical application of the percolation phenomenon in spatial structures

• Autorzy: Saraczyn Robert , Deroszewska Martyna , Miłek Tomasz

Identyfikatory

DOI

10.15199/180.2024.3.1

Warianty tytułu

PL

Praktyczne zastosowanie zjawiska perkolacji w strukturach przestrzennych

• Języki publikacji: EN

Abstrakty

EN

This study aimed to present the possibilities for the practical use of the percolation phenomenon. The percolation phenomenon and the related concepts were broadly described. 3D CAD models of spatial structures, 3D prints using L-PBF technology from AISI 316 austenitic steel, models of the hip joint endoprosthesis stem and microscopic photos of the prints were presented. A number of possibilities related to the practical use of percolation theory have been identified, but also several limitations that require in-depth scientific analysis. The main challenge is to create a methodology for determining the percolation threshold and a methodology for analysing the microstructure of polycrystalline materials in 3D.

PL

Celem pracy było przedstawienie możliwości praktycznego wykorzystania zjawiska perkolacji. Dokonano szerokiego opisu zjawiska perkolacji i pojęć z nim związanych. Zaprezentowano modele 3D CAD struktur przestrzennych, wydruki 3D w technologii L-PBF ze stali austenitycznej AISI 316, modele trzpienia endoprotezy stawu biodrowego oraz zdjęcia mikroskopowe wydruków. Zidentyfikowano szereg możliwości związanych z praktycznym zastosowaniem teorii perkolacji, ale także kilka ograniczeń wymagających pogłębionej analizy naukowej. Głównym wyzwaniem jest stworzenie metodologii wyznaczania progu perkolacji oraz metodologii analizy mikrostruktury materiałów polikrystalicznych w 3D.

Słowa kluczowe

EN

percolation phenomenon; phase percolation; percolation threshold; porous structures; percolation application

PL

zjawisko perkolacji; perkolacja fazowa; próg perkolacji; struktury porowate; zastosowanie perkolacji

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Polish Technical Review
• Rocznik: 2024
• Tom: No. 3
• Strony: 2--6
• Opis fizyczny: Bibliogr. 24 poz., rys.

Twórcy

autor

Saraczyn Robert

• Faculty of Mechanical and Industrial Engineering, Warsaw University of Technology, Pl. Politechniki 1, 00-665 Warsaw, Poland

• https://orcid.org/0000-0002-5195-8468

autor

Deroszewska Martyna

• Faculty of Mechanical and Industrial Engineering, Warsaw University of Technology, Pl. Politechniki 1, 00-665 Warsaw, Poland

• https://orcid.org/0000-0002-5139-5394

autor

Miłek Tomasz

• Faculty of Mechatronics and Mechanical Engineering, Kielce University of Technology, al. Tysiąclecia Państwa Polskiego 7, 25-314 Kielce, Poland

• https://orcid.org/0000-0002-2039-3388

Bibliografia

• [1] W. Trzaskowski, W. Sobaszek, D. Myszka, S. Świłło. „Analysis of Microstructure Images Referred to Percolation Theory”. Archives of Foundry Engineering, Volume 15, Issue 1/2015. https://doi.org/10.1515/afe-2015-0020.
• [2] S.R. Broadbent, J. M. Hammersley. “Percolation processes”. Mathematical Proceedings of the Cambridge Philosophical Society, Volume 53, Issue 3, 1957. https://doi.org/10.1017/S0305004100032680.
• [3] J.M. Hammersley, D. J. A. Welsh. ”Percolation theory and its ramifications”. Contemporary Physics. Volume 21, Issue 6, 1980. https://doi.org/10.1080/00107518008210661.
• [4] M. Li, R.-R. Liu, L. Lu, M.-B. Hu, S. Xu, Y.-C. Zhang. “Percolation on complex networks: Theory and application”. Physics Reports, Volume 907, April 2021. https://doi.org/10.1016/j.physrep.2020.12.003.
• [5] N. E. Brunk, R. Twarock. “Percolation Theory Reveals Biophysical Properties of Virus-like Particles”. ASC Nano, Volume 15, August 2021. https://doi.org/10.1021%2Facsnano.1c01882.
• [6] S. Davis, P. Trapman, H. Leirs, M. Begon, J.A.P. Heesterbeek. “The abundance threshold for plague as a critical percolation phenomenon”. Nature, Volume 454, July 2008. https://doi.org/10.1038/nature07053.
• [7] P. C.-de Simon, M. Boguna. “Double Percolation Phase Transition in Clustered Complex Networks”. Physical Review X, Volume 4, October 2014. https://doi.org/10.1103/PhysRevX.4.041020.
• [8] M. Livraghi, K. Hollring, C.R. Wick, D.M. Smith, A.-S. Smith. “An Exact Algorithm to Detect the Percolation Transition in Molecular Dynamics Simulations of Cross-Linking Polymer Networks”. Journal of Chemical Theory and Computation. Volume 17. September 2021. https://doi.org/10.1021/acs.jctc.1c00423.
• [9] M. Deroszewska, R. Saraczyn, T. Miłek, J. Troska. „Identification of phase percolation in bainitic structures”. Polish Technical Review. Volume 2. July 2023. https://doi.org/10.15199/180.2023.2.4.
• [10] S. Yu, J. Sun, J. Bai. “Investigation of functionally graded TPMS structures fabricated by additive manufacturing”. Materials & Design. Volume 182. November 2019. https://doi.org/10.1016/j. matdes.2019.108021.
• [11] J. Li, P.C. Ma, W.S. Chow, C.K. To, B.Z. Tang, J.-K. Kim. „Correlations between Percolation Threshold, Dispersion State, and Aspect Ratio of Carbon Nanotubes”. Advanced Functional Materials. Volume 17, Issue 16. November 2007. https://doi.org/10.1002/ adfm.200700065.
• [12] A. Coniglio. “Cluster structure near the percolation threshold”. Journal of Physics A: Mathematical and General. Volume 15, Number 12. December 1982. https://doi.org/10.1088/0305-4470/15/12/032.
• [13] F. Radicchi. “Predicting percolation thresholds in networks”. Physical Review E. Volume 91. January 2015. https://doi.org/10.1103/PhysRevE.91.010801.
• [14] T.D. Bennett, F.-X. Coudert, S.L. James, A.I. Cooper. “The changing state of porous materials”. Nature Materials. Volume 20. April 2021. https://doi.org/10.1038/s41563-021-00957-w.
• [15] M.E. Davis. “Ordered porous materials for emerging applications”. Nature. Volume 417. June 2002. https://doi.org/10.1038/nature00785.
• [16] D. Myszka, W. Trzaskowski. “The Importance of Applying the Percolation Theory to the Analysis of the Structure of Polycrystalline Materials”. Journal of Manufacturing Technologies, Volume 42, February 2017..
• [17] A.D. Rollett, D. Saylor, J. Fridy, B.S. El-Dasher, A. Brahme, S.-B. Lee, C. Comwell, R. Noack. “Modeling Polycrystalline Microstructures in 3D”. AIP Conference Proceedings. Volume 712. June 2004. https://doi.org/10.1063/1.1766503.
• [18] V. Romanova, R. Balokhonov. “A method of step-by-step packing and its application in generating 3D microstructures of polycrystalline and composite materials”. Engineering with Computers. Volume 37. July 2019. https://doi.org/10.1007/s00366-019-00820-2.
• [19] D. Sharma, I.V. Singh, J. Kumar. “A computational framework based on 3D microstructure modelling to predict the mechanical behaviour of polycrystalline materials”. International Journal of Mechanical Sciences. Volume 258. November 2023. https://doi.org/10.1016/j. ijmecsci.2023.108565.
• [20] P. Potschke, M.H. Arnaldo, H.-J. Radusch. „Percolation behavior and mechanical properties of polycarbonate composites filled with carbon black/carbon nanotube systems”. Polimery. Volume 57. March 2012. http://dx.doi.org/10.14314/polimery.2012.204.
• [21] O. Sigmund, K. Maute. “Topology optimization approaches”. Structural and Multidisciplinary Optimization. Volume 48. August 2013. https://doi.org/10.1007/s00158-013-0978-6.
• [22] H.A. Eschenauer, N. Olhoff. “Topology optimization of continuum structures: A review”. Applied Mechanics Reviews. Volume 54. July 2001. https://doi.org/10.1115/1.1388075.
• [23] M.K. Ahamed, H. Wang, P.J. Hazell. “From biology to biomimicry: Using nature to build better structures - A review”. Construction and Building Materials. Volume 320. February 2022. http://dx.doi.org/10.1016/j.conbuildmat.2021.126195.
• [24] M. Bartlett, A.V. Anacreonte, M. Iasiello, A.A. Peracchio, G.M. Mauro, N. Bianco, W.K.S. Chiu. “An Introduction to Triply Periodic Minimal Surfaces in Thermal Applications”. Thermopedia. February 2024. https://dx.doi.org/10.1615/thermopedia.010389.