Contact-Leakage Characterization of Metal Sealing Rings Using Fractal Theory and Finite Element Analysis

Abstract:

This paper presents an innovative approach to analyzing metal O-ring sealing performance by integrating fractal theory with fluid mechanics to model interface micro-convex characteristics. Unlike conventional methods, this approach more accurately represents the actual surface morphology of the sealing interface, enabling more precise leakage predictions. The research combines finite element analysis of the sealing surface contact states with hydrodynamic simulations of microchannel leakage behavior. Through experimental validation, the impact of sealing medium, inlet pressure, surface roughness, and compaction load on the contact area and leakage rate is systematically investigated. The key findings reveal that gases exhibit higher leakage propensity than liquids due to their superior fluidity, and the seal leakage rate increases with inlet pressure, reaching 18.86×10^-5 kg/s. Reducing surface roughness enhances interface contact and minimizes micro-leakage gaps, thereby improving sealing performance. Additionally, thresholds for compaction load are identified, beyond which further load increases result in negligible sealing gains. By bridging interface contact mechanics with microchannel leakage dynamics while accounting for realistic surface morphology, this work provides a framework for improving metal sealing ring performance prediction and optimization.

• Periodical: Applied Mechanics and Materials (Volume 927)
• Pages: 31-49
• DOI: https://doi.org/10.4028/p-uRqaE2
• Online since: June 2025
• Authors: Da Peng Yan, Chao Jun Deng, Zhi Hai Yang, Xue Xing Ding*, Jiang Andi
• Keywords: Experimental Validation, Fractal Theory, Leakage Characterization, Metal Sealing Ring, Micro-Interface Contact

References

[1] HUANG Qi, XUAN Liang, ZHU Jie, et al. Analysis of sealing performance of combined seal structure with metal C-ring with built-in spring, Vibroengineering procedia. 51(2023) 94-100.

DOI: 10.21595/vp.2023.23494

[2] GAO Bingjun, GAO Han, JIAN Dong, et al. Analysis of sealing performance of metal B-ring self-tightening structure, Processes. 10(2022) 1-27.

DOI: 10.3390/pr10061084

[3] CHEN Tingkun, WANG Lin, XU Jin, et al. Effect of groove texture on deformation and sealing performance of engine piston ring, Machines. 10(2022) 1020.

DOI: 10.3390/machines10111020

[4] SCHELLER J, BAUR P J. Characterization of leakage, clamping force and retaining force of reusable sealing frame with elastomer O-ring for thin plasma polymeric coated thermoplastic polyester-ether films, Vacuum. 192(2021) 1-8.

DOI: 10.1016/j.vacuum.2021.110501

[5] BLANTON P, KURT E K. Performance testing of spring energized C-rings for use in radioactive material packagings containing tritium, Pubinfo. 8(2007) 1-7.

[6] HE Dongsheng, REN Hang, ZHANG Linfeng, et al. Study on sealing performance of downhole V-shaped metal sealing ring, Lubrication Engineering. 45(2020) 81-86.

[7] GONG Xueting. Research on characteristics of w-shaped metal seal ring for aero-engine: submitted to Beijing University of Chemical Technology (2011).

[8] LI Jianhui, WEN Shuaifang, SUN Dan, et al.Leakage characteristics and formula construction of W-shaped elastic metal seals, Journal of Aerospace Power. 63(2023) 1-14.

[9] ZHANG Dongge, ZHANG Fuying, WANG Shiqiang. The optimization design for structure and operating parameters of Y sealing ring based on ANSYS, Lubrication Engineering. 37(2012) 87-90.

[10] WANG Shiqiang, ZHANG Fuying, ZHANG Dongge. Study on sealing performance of Y-ring based on ANSYS, Lubrication Engineering. 37(2012) 61-64+68.

[11] XIE Jun, ZHOU Mi, YANG Tian, et al. Elastoplastic contact analysis of metal O-ring based on ANSYS, Fluid Machinery. 37(2009) 43-46.

[12] WANG Guozhi, LIU Huanlong, LIU Niehao, et al. Effect of water hydraulic component surface roughness on static sealing property of O-ring, Lubrication Engineering. 38(2013) 87-91.

[13] WEI Liejiang, XIONG Qingyu, LUO Xichun, et.al. Finite element analysis of the O-ring squeezed into the sealing clearance based on ABAQUS, Proceedings of 2016 International Symposium on Advances in Materials Science (IAMS 2016). 2016(11047) 2129-2137.

[14] SHEN Mingxue, PENG Xudong, XIE Liyang, et al. Deformation characteristics and sealing performance of metallic O-rings for a reactor pressure vessel, Nuclear Engineering & Technology. 48(2016) 533-544.

DOI: 10.1016/j.net.2015.11.009

[15] Liejiang Wei, Qingyu Xiong, Xichun Luo, et al. Finite element analysis of the O-ring squeezed into the sealing clearance based on ABAQUS, DEStech Transactions on Engineering and Technology Research. 31(2017) 1-18.

DOI: 10.12783/dtetr/apetc2017/11047

[16] FANG Guifang, PZHAN Genggao, WEI Long. Effect of surface topography on contact property of the end face for mechanical seal, Applied Mechanics and Materials. 419(2013) 292-298.

DOI: 10.4028/www.scientific.net/amm.419.292

[17] CUI Wei, WANG Lixin, LUO Yanjun. Modeling of three-dimensional single rough rock fissures: A study on flow rate and fractal parameters using the Weierstrass-Mandelbrot function, Computers and Geotechnics. 144(2022) 104655.

DOI: 10.1016/j.compgeo.2022.104655

[18] Zhang Qiang, Xiaoqian Chen, Yiyong Huang, et al. Fractal modeling of fluidic leakage through metal sealing surfaces, AIP Advances. 8(2018) 1-19.

DOI: 10.1063/1.5023708

[19] SONG Xinyi, HUANG Song, HU Hui, et al. Analysis of sealing performance of a kind of profiled rubber gasket used in the radial contact seal structure, Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering. 235(2020) 857-862.

DOI: 10.1177/0954408920971995

[20] HAN Ting, FAN Jun. Ultrasonic measurement of contact stress at metal-to-metal interface based on a real rough profile through modeling and experiment, Measurement. 217(2023) 113046.

DOI: 10.1016/j.measurement.2023.113046

[21] ZHAO Yannan, ZHAO Caiyou, WANG Liuchong, et al. A rail corrugation evaluation method using fractal characterization based on structure function method, Wear. 506-507(2022) 204454.

DOI: 10.1016/j.wear.2022.204454

[22] ZHU Hongjun. ANSYS 14.5 practical guide to thermal fluid-solid coupling, third ed., Posts & Telecom Press, Beijing, 2014.

[23] WANG Jitao. Modern thermodynamics—new concepts based on the second law of thermodynamics, Progress in Natural Science: Materials International. 19(2009) 125-135.

DOI: 10.1016/j.pnsc.2008.07.002

[24] PENG Dingyu, ROBINSON Donald B. A new two-constant equation of state, Industrial & Engineering Chemistry Fundamentals. 15(1976) 59-64.

DOI: 10.1021/i160057a011

[25] BRUNETIÈRE Noël, TOURNERIE Bernard, FRÊNE Jean. Influence of fluid flow regime on performances of non-contacting liquid face seals, Journal of tribology. 124(2002) 515-523.

DOI: 10.1115/1.1456453

[26] CHEN Yuan, PENG Xudong, WANG Bingqing, et al. Experimental and theoretical investigations on dry gas seal transient performance and its disparity with steady performance, Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology. 236(2022) 1661-1673.

DOI: 10.1177/13506501211064079

[27] CHEN Daiheng, MASUDA Kazuhiko. Equivalent elastic modulus of asymmetrical honeycomb, ISRN Mechanical Engineering (Print). 2011(2011) 1-10.

DOI: 10.5402/2011/570140

[28] GÖRGÜN Erdem, AKŞIT Mahmut Faruk, DOĞU Yahya. A study of cloth seal leakage performance based on geometry and pressure load, Energies. 13(2020) 5884.

DOI: 10.3390/en13225884