PSI - Issue 47

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2022) 000–000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2022) 000–000

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Procedia Structural Integrity 47 (2023) 290–295

© 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the IGF27 chairpersons Abstract Corrosion is a naturally occurring phenomenon causing deterioration of metal and non-metal structures. Rate of corrosion may often be accelerated by mechanical stress resulting in premature failure of structural elements. From mathematics point of view, in such cases, assessment of the lifetime of structural elements is reduced to initial boundary value problems with a priory unknown boundaries. Most studies in this field concern corrosion of columns, plates, beams, spherical and cylindrical shells. This work is devoted to assessment of the service life of an elastic toroidal shell subjected to general stress-assisted corrosion under internal pressure. Stress analysis was performed using FEM software ANSYS. To ensure the convergence of the solution, multiple calculations were carried out with various combinations of space and time steps. Our analysis showed that the service life of the toroidal shell should be determined by the dissolution of the wall in the vicinity of the points closest to the shell axis. The effect of different parameters on the shell lifetime was analyzed. In particular, it was confirmed that the solution for the toroidal shell tends to the solution for a cylindrical pipe as the distance between the torus center and the tube center increases. © 2023 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) 1. Introduction Toroidal shells have found wide application in engineering, from pipeline outlets and branch pipes to rocket engine fuel storages (Audoly and Pomeau (2010), Dastjerdi et al. (2020)). Such shells are often subjected to pressure and aggressive environments (Groysman (2017a,b), Gutman (1994)). Combination of these two factors can cause mechanochemical corrosion. This term was introduced by Gutman (1994) for general anodic dissolution of deformed metals to differ it from other processes of material transformation enhanced by mechanical stress (for example, 27th International Conference on Fracture and Structural Integrity (IGF27) Internal stress-assisted corrosion of a toroidal shell under pressure Alexander Ilyin a , Yulia Pronina a * a Saint Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, 199034 Russia Abstract Corrosion is a naturally occurring phenomenon causing deterioration of metal and non-metal structures. Rate of corrosion may often be accelerated by mechanical stress resulting in premature failure of structural elements. From mathematics point of view, in such cases, assessment of the lifetime of structural elements is reduced to initial boundary value problems with a priory unknown boundaries. Most studies in this field concern corrosion of columns, plates, beams, spherical and cylindrical shells. This work is devoted to assessment of the service life of an elastic toroidal shell subjected to general stress-assisted corrosion under internal pressure. Stress analysis was performed using FEM software ANSYS. To ensure the convergence of the solution, multiple calculations were carried out with various combinations of space and time steps. Our analysis showed that the service life of the toroidal shell should be determined by the dissolution of the wall in the vicinity of the points closest to the shell axis. The effect of different parameters on the shell lifetime was analyzed. In particular, it was confirmed that the solution for the toroidal shell tends to the solution for a cylindrical pipe as the distance between the torus center and the tube center increases. © 2023 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the IGF27 chairpersons Keywords: mechanochemical corrosion; toroidal shell; pressure vessel 1. Introduction Toroidal shells have found wide application in engineering, from pipeline outlets and branch pipes to rocket engine fuel storages (Audoly and Pomeau (2010), Dastjerdi et al. (2020)). Such shells are often subjected to pressure and aggressive environments (Groysman (2017a,b), Gutman (1994)). Combination of these two factors can cause mechanochemical corrosion. This term was introduced by Gutman (1994) for general anodic dissolution of deformed metals to differ it from other processes of material transformation enhanced by mechanical stress (for example, 27th International Conference on Fracture and Structural Integrity (IGF27) Internal stress-assisted corrosion of a toroidal shell under pressure Alexander Ilyin a , Yulia Pronina a * a Saint Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, 199034 Russia Peer-review under responsibility of the IGF27 chairpersons Keywords: mechanochemical corrosion; toroidal shell; pressure vessel

* Corresponding author. Tel.: +7-812-428-4492; fax: +7812-428-7159. E-mail address: y.pronina@spbu.ru * Corresponding author. Tel.: +7-812-428-4492; fax: +7812-428-7159. E-mail address: y.pronina@spbu.ru

2452-3216 © 2023 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the IGF27 chairpersons 2452-3216 © 2023 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the IGF27 chairpersons

2452-3216 © 2023 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the IGF27 chairpersons 10.1016/j.prostr.2023.07.096

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