{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,4]],"date-time":"2025-12-04T07:29:50Z","timestamp":1764833390039,"version":"3.46.0"},"reference-count":13,"publisher":"World Scientific and Engineering Academy and Society (WSEAS)","license":[{"start":{"date-parts":[[2025,12,4]],"date-time":"2025-12-04T00:00:00Z","timestamp":1764806400000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/deed.en_US"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2025,12,4]]},"abstract":"<jats:p>In this manuscript, the main objective is to develop a numerical study, based on the finite element method, to create a wrinkling tube in aluminium. The technique applies to an electric potential imposed on the tube mesh, which goes within a solid die with cavities to achieve the wrinkling process, using contact elements. A nonlinear material with lateral incremental voltage electric potential, due to an electric coil, and employed vertical displacement was used in an axisymmetric numerical model. The results were analysed, which allowed the tube deformation to be obtained, with a large lateral displacement, as with the previous experimental results. The deformation patterns and the magnitude of lateral displacement are influenced by tube geometry, material properties, and loading conditions. This method leverages the synergy between electric potential, die cavity design, and precise contact modelling to induce and control wrinkling in tubes, with the finite element method providing a robust framework for process simulation and optimisation.<\/jats:p>","DOI":"10.37394\/23201.2025.24.23","type":"journal-article","created":{"date-parts":[[2025,12,4]],"date-time":"2025-12-04T06:45:22Z","timestamp":1764830722000},"page":"201","source":"Crossref","is-referenced-by-count":0,"title":["Tube Wrinkling by an Electrostatic Structural Analysis"],"prefix":"10.37394","author":[{"given":"Samara C. R.","family":"Soares","sequence":"first","affiliation":[{"name":"Department of Mechanical Engineering, Pontif\u00edcia Universidade Cat\u00f3lica de Minas Gerais, Campus Cora\u00e7\u00e3o Eucar\u00edstico-CEP, Belo Horizonte 30545-901, BRAZIL"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Elza M. M.","family":"Fonseca","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Polytechnic of Porto, Rua Dr. Ant\u00f3nio Bernardino de Almeida, 431, 4249-015 Porto, PORTUGAL"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gilmar C.","family":"Silva","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Pontif\u00edcia Universidade Cat\u00f3lica de Minas Gerais, Campus Cora\u00e7\u00e3o Eucar\u00edstico-CEP, Belo Horizonte 30545-901, BRAZIL"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23555","published-online":{"date-parts":[[2025,12,4]]},"reference":[{"key":"ref0","doi-asserted-by":"crossref","unstructured":"W. Wu, Y. Yin, Y. Li, and X. Fan, \"Theoretical analysis of inflated tube wrinkling behavior under pure bending.\" International Journal of Mechanical Sciences, vol. 273, 109166, 2024. https:\/\/doi.org\/10.1016\/j.ijmecsci.2024.1091 66 .","DOI":"10.1016\/j.ijmecsci.2024.109166"},{"key":"ref1","doi-asserted-by":"crossref","unstructured":"S. Seok, H. Park, P. Coste, and J. Kim, \"Direct Numerical Simulation of Surface Wrinkling for Extraction of Thin Metal Film Material Properties.\" Micromachines, vol. 14, no. 4, 747, 2023. https:\/\/doi.org\/10.3390\/mi14040747 .","DOI":"10.3390\/mi14040747"},{"key":"ref2","doi-asserted-by":"crossref","unstructured":"O. Fadodun, \"Finite electroelastic deformation of dielectric semilinear hyperelastic tubes.\" Advanced Topics in Mechanics of Materials, Structures and Construction, vol. 31, pp. 336- 346, 2023. https:\/\/doi.org\/10.21741\/9781644902592-35.","DOI":"10.21741\/9781644902592-35"},{"key":"ref3","doi-asserted-by":"crossref","unstructured":"A. Melnikov, M. Jeremi\u0107, S. Lurie, and D. Volkov, \"Finite deformations of an electroelastic circular cylindrical tube.\" Zeitschrift f\u00fcr angewandte Mathematik und Physik, vol. 67, no. 140, pp. 1-20, 2016. https:\/\/doi.org\/10.1007\/s00033-016-0733-0.","DOI":"10.1007\/s00033-016-0733-0"},{"key":"ref4","unstructured":"Cheng-Shun Chen, Jen-Hsin Ou, and ChengJie Hsu, \"Simulation Analysis of Shell Aluminum Alloy Tube for Neck-In Spinning Process.\" WSEAS Transactions on Systems, vol. 11, no. 8, pp. 385-397, 2012."},{"key":"ref5","doi-asserted-by":"crossref","unstructured":"L. Dorfmann, and R. W. Ogden, \"Waves and vibrations in a finitely deformed electroelastic circular cylindrical tube.\" Proceedings: Mathematical, Physical and Engineering Sciences, vol. 476, no 2233, pp. 2-24, 2020. https:\/\/doi.org\/10.1098\/rspa.2019.0701.","DOI":"10.1098\/rspa.2019.0701"},{"key":"ref6","doi-asserted-by":"crossref","unstructured":"S. Soares, G. Silva, and E. Fonseca, \"Computational Methodology for the Development of Wrinkled Tubes by Plastic Deformation.\" Applied Sciences, vol. 14, no 23, pp. 11126, 2024. https:\/\/doi.org\/10.3390\/app142311126.","DOI":"10.3390\/app142311126"},{"key":"ref7","doi-asserted-by":"crossref","unstructured":"C. Bell, J. Corney, N. Zuelli, and D. Savings, \"A state-of-the-art review of hydroforming technology.\" Int. J. Mater. Form., vol. 13, pp. 789-828, 2020.","DOI":"10.1007\/s12289-019-01507-1"},{"key":"ref8","doi-asserted-by":"crossref","unstructured":"YuZhe Liu, XinMing Qiu, Wei Wang, and T.X. Yu, \"An improved two-arcs deformational theoretical model of the expansion tubes.\" Int. J. Mech. Sci., vol. 133, pp. 240-250, 2017.","DOI":"10.1016\/j.ijmecsci.2017.08.036"},{"key":"ref9","doi-asserted-by":"crossref","unstructured":"S. Samara, G. Silva, and E. Fonseca, \"Development of Two-Wrinkled Tubes Using an Electrostatic Structural Analysis.\" Applied Sciences, vol. 15, no. 22, 11912, 2025. https:\/\/doi.org\/10.3390\/app152211912 .","DOI":"10.3390\/app152211912"},{"key":"ref10","doi-asserted-by":"crossref","unstructured":"M. Geier, E. Paese, R. Rossi, P. Rosa, and R. Homrich, \"Experimental Analysis of Interference-Fit Joining of Aluminum Tubes by Electromagnetic Forming.\" IEEE Trans. App. Supercond. vol. 30, no. 4, pp. 1-6, 2020.","DOI":"10.1109\/TASC.2020.2972499"},{"key":"ref11","doi-asserted-by":"crossref","unstructured":"F. Capelli, J. Riba, and J. Sanlleh\u00ed, \"Finite element analysis to predict temperature rise tests in high-capacity substation connectors.\" IET Gener. Transm. Distrib., vol. 11, no. 9, pp. 2283-2291, 2017.","DOI":"10.1049\/iet-gtd.2016.1717"},{"key":"ref12","doi-asserted-by":"crossref","unstructured":"T. Edwards, and M. Steer, \"Foundations for Microstrip Circuit Design.\" 4th ed. 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