PSI - Issue 40

ScienceDirect StructuralIntegrity Procedia 00 (2022) 000 – 000 StructuralIntegrity Procedia 00 (2022) 000 – 000 Available online at www.sciencedirect.com Available online at www.sciencedirect.com Sci nceDire t Available online at www.sciencedirect.com ScienceDirect

www.elsevier.com/locate/procedia www.elsevier.com/locate/procedia

Procedia Structural Integrity 40 (2022) 124–128

© 2022 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 scientific committee of the15th International Conference on Mechanics, Resources and Diagnostics of Materials and Structures. Abstract Using numerical methods, the problem of determining the limiting state of a metal shell under thermomechanical loading and taking into account contact with an aggressive hydrogen-containing medium is solved. The acting stresses are determined by solving a nonlinear boundary value problem for a shell of revolution. The method is demonstrated on a construction - a muffle designed for high-temperature annealing of electrolytic steel in bell-type furnaces. © 2022 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 scientific committee of the15th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures. Keywords: shell; thermoplastic loading; limiting state; hydrogen; ordinary differential equations. 1. INTRODUCTION The problem of determining the strength of shell metal structures under variable thermomechanical loads is quite common in engineering practice. Methods for determining the stress state and strength of shell structures under static, thermal and variable power loads are well developed and presented in the literature, Grigorenko and Vasilenko (1981), Shevchenko and Prokhorenko (1981), Emelyanov and Mironov (2012). The problems of determining the strength of metal structures that are operated in an aggressive hydrogen containing environment are also of great applied importance and their specific features. Predicting the behavior and determining the limiting state of such structures that are operated in aggressive environments and are loaded with thermal and forces is not a completely solved scientific problem. The difficulty lies in the simultaneous 15th International Conference on Mechanics, Resource and Diagnostics of Materials and Stru tures Determination of the limiting state of the muffle shell I. G. Emel’yanov * Institute of Engineering Science, Ural Branch of the Russian Academy of Sciences, 34 Komsomolskaya St,Ekaterinburg, 620046, Russia Abstract Using numerical methods, the problem of determining the limiting state of a metal shell under thermomechanical loading and tak into ac ount contact with an aggressiv hydro en-contai ing m dium is so ved. The acting stresses re determ ed by solving a nonlinear b undary value probl m for a shell of revolut on. The ethod is demonstrated on a construction - a muffle desig ed for h gh-temperature ann aling of electrolytic steel in bell-type furnaces. © 2022 The Aut ors. Publish d 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 u der re ponsibility of scientific committe of the15th International Conference o Mechanics, Resource and Diagnostics of Materials and S ructur s. Keywords: shell; thermoplastic loading; limiting state; hydrogen; ordinary differential equations. 1. INTRODUCTION The problem of determining the strength of shell metal structures under variable thermomechanical loads is quite common in ngineering practice. Methods for d termining the stress state and strength of s ell structures under static, thermal a d variable power loa s are well developed and presented in the literatur , G igorenko and V silenko (1981), Shevchenko and Prokhorenko (1981), Emelyanov and Mironov (2012). Th problems of determining the strength of metal structures that are operated in an aggressive hydrogen containing environment a e also of grea applied importance and their specific f atures. Predicting the be avior a d determi ing the li iti g state f such s ructur s that are operated in aggressiv environm nts and are lo ded with thermal and forces is not a completely solved scientific problem. The difficulty li s in the simultaneous 15th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures Determination of the limiting state of the muffle shell I. G. Emel’yanov * Institute of Engineering Science, Ural Branch of the Russian Academy of Sciences, 34 Komsomolskaya St,Ekaterinburg, 620046, Russia

* Corresponding author. Tel.: +7-922-207-3447. E-mail address: emelyanov.ig.2016@mail.ru * Corresponding author. Tel.: +7-922-207-3447. E-mail address: emelyanov.ig.2016@mail.ru

2452-3216 © 2022 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 scientific committee of the15th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures. 2452-3216 © 2022 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 u der responsibility of t scientific committe of the15th Int rnational C ference o Mechanics, Resource and Diagnostics of Materials and Structures.

2452-3216 © 2022 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 scientific committee of the15th International Conference on Mechanics, Resources and Diagnostics

of Materials and Structures. 10.1016/j.prostr.2022.04.016