I. G. Emelyanov, D. A. Ogorelkov
THE STRESS STATE OF A THICK-WALLED SHELL WITH ALLOWANCE FOR CONTACT WITH A HYDROGEN-CONTAINING MEDIUM
DOI: 10.17804/2410-9908.2024.2.020-035 Numerical and experimental methods are used to solve a multidisciplinary problem on determining the stress state of a steel shell of revolution under mechanical loading and thermal effect with allowance for its contact with a hydrogen-containing medium. The study uses a well-developed mathematical tool for solving heat conduction problems in order to solve the problem of hydrogen diffusion into metal. The effective stresses and their invariants are determined by solving the nonlinear boundary value problem of thermoplasticity of a thick-walled shell of revolution in a three-dimensional formulation. The study takes into account the experimentally found effect of changes in the mechanical properties of steel affected by hydrogen. The correctness of the proposed method and the performed calculations is quantitatively estimated by comparison with a well-known problem having an analytical solution. The paper shows that it is possible and necessary to take into account the change in mechanical properties when determining the stress state of steel structures operating in contact with a hydrogen-containing medium.
Acknowledgment: The work was performed under the state assignment for the IES UB RAS, No. AAAA-A18-118020790140-5. Keywords: thick-walled shell, steel, hydrogen, diffusion, experiment, mechanical properties, stress state References:
- Karpenko, G.V. and Kripyakevich, R.I. Vliyanie vodoroda na svoystva stali [The Effect of Hydrogen Upon the Properties of Steel]. Metallurgizdat Publ., Moscow, 1962, 192 p. (In Russian).
- Shreider, A.V., Shparber, I.S., and Archakov, Yu.I. Vliyanie vodoroda na neftyanoe i khimicheskoe oborudovanie [Effect of Hydrogen on Oil and Chemical Equipment]. Mashinostroenie Publ., Moscow, 1976, 144 p. (In Russian).
- Archakov, Yu.I. Vodorodnaya korroziya stali [Hydrogen Corrosion of Steel]. Metallurgiya Publ., Moscow, 1985, 192 p. (In Russian).
- Rebyakov, Yu.N., Cherniavsky, A.O., and Cherniavsky, O.F. Deformation and destruction of materials and structures in the diffusion. Vestnik YuUrGU, 2010, 10, 4–16. (In Russian).
- Ovchinnikov, I.I. and Ovchinnikov, I.G. Effect of hydrogen-containing environment at high temperature and pressure on the behavior of metals and structures. Naukovedenie, 2012, 14. (In Russian). Available at: https://naukovedenie.ru/ PDF/60tvn412.pdf
- Tehranchi, A. and Curtin, W.A. The role of atomistic simulations in probing hydrogen effects on plasticity and embrittlement in metals. Engineering Fracture Mechanics, 2019, 216, 106502. DOI: 10.1016/j.engfracmech.2019.106502.
- Baek, S.-W., Song, E.J., Kim, J.H., Jung, M., Baek, U.B., and Nahm, S.H. Hydrogen embrittlement of 3-D printing manufactured austenitic stainless-steel part for hydrogen service. Scripta Materialia, 2017, 130, 87–90. DOI: 10.1016/j.scriptamat.2016.11.020.
- Dasa, T., Legranda, E., Brahimia, S.V., Songa, J., and Yue, S. Evaluation of material susceptibility to hydrogen embrittlement (HE): an approach based on experimental and finite element (FE) analyses. Engineering Fracture Mechanics, 2020, 224, 106714. DOI: 10.1016/j.engfracmech.2019.106714.
- Shishvana, S.S., Csányi, G., and Deshpande, V.S. Hydrogen induced fast-fracture. Journal of the Mechanics and Physics of Solids, 2020, 134, 103740. DOI: 10.1016/j.jmps.2019.103740.
- Ogawa, Y., Okazaki, S., Takakuwa, O., and Matsunaga, H. The roles of internal and external hydrogen in the deformation and fracture processes at the fatigue crack tip zone of metastable austenitic stainless steels. Scripta Materialia, 2018, 157, 95–99. DOI: 10.1016/j.scriptamat.2018.08.003.
- Merson, E.D., Myagkikh, P.N., Klevtsov, G.V., Merson, D.L., and Vinogradov, A. Effect of fracture mode on acoustic emission behavior in the hydrogen embrittled low-alloy steel. Engineering Fracture Mechanics, 2019, 210, 342–357. DOI: 10.1016/j.engfracmech.2018.05.026.
- Anand, L., Mao, Y., and Talamini, B.L. On modeling fracture of ferritic steels due to hydrogen embrittlement. Journal of the Mechanics and Physics of Solids, 2019, 122, 280–314. DOI: 10.1016/j.jmps.2018.09.012.
- Pradhan, A., Vishwakarma, M., and Dwivedi, S.K. A review: the impact of hydrogen embrittlement on the fatigue strength of high strength steel. Materials Today: Proceedings, 2020, 26 (2), 3015–3019. DOI: 10.1016/j.matpr.2020.02.627.
- Tehranchi, A. and Curtin, W.A. Atomistic study of hydrogen embrittlement of grain boundaries in nickel. I. Fracture. Journal of the Mechanics and Physics of Solids, 2017, 101, 150–165. DOI: 10.1016/j.jmps.2017.01.020.
- Yu, H., Cocks, A.C.F., and Tarleton, E. The influence of hydrogen on Lomer junctions. Scripta Materialia, 2019, 166, 173–177. DOI: 10.1016/j.scriptamat.2019.03.022.
- Mironov, V.I., Emelyanov, I.G., Vichuzhanin, D.I., Zamaraev, L.M., Ogorelkov, D.A., and Yakovlev, V.V. Effect of hydrogenation temperature and tensile stress on the parameters of the complete deformation diagram for steel 09G2S. Diagnostics, Resource and Mechanics of materials and structures, 2020, 1, 24–33. DOI: 10.17804/2410-9908.2020.1.024-033. Available at: http://dream-journal.org/issues/2020-1/2020-1_279.html
- Mironov, V.I., Emelyanov, I.G., Vichuzhanin, D.I., Kamantsev, I.S., Yakovlev, V.V., Ogorelkov, D.A., and Zamaraev, L.M. A method for experimental investigation of degradation processes in materials. Diagnostics, Resource and Mechanics of materials and structures, 2019, 2, 16–27. DOI: 10.17804/2410-9908.2019.2.016-027. Available at: http://dream-journal.org/issues/2019-2/2019-2_246.html
- Metody rascheta obolochek: v 5 t. T. 3. Shevchenko, Yu.N. and Prokhorenko, I.V. Teoriya uprugoplasticheskikh obolochek pri neizotermicheskikh protsessakh nagruzheniya [Theory of Elastoplastic Shells under Nonisothermal Loading Processes, vol. 3. In: Methods for Calculating Shells]. Naukova Dumka Publ., Kiev, 1981, 296 p. (In Russian).
- Metody rascheta obolochek: v 5 t. T. 4. Grigorenko, Ya.M. and Vasilenko, A.T. Teoriya obolochek peremennoy zhestkosti [The theory of Shells of Variable Stiffness, vol. 4. In: Methods for Calculating Shells]. Naukova Dumka Publ., Kiev, 1981, 544 p. (In Russian).
- Lykov, A.V. Teplomassoobmen [Heat-Mass Exchange: Reference Book]. Energiya Publ., Moscow, 1978, 480 p. (In Russian).
- Aramanovich, I.G. and Levin, V.I. Uravneniya matematicheskoy fiziki [Equations of Mathematical Physics]. Nauka Publ., Moscow,1969, 288 p. (In Russian).
- Vorobyev, A.Kh. Diffuzionnye zadachi v khimicheskoy kinetike: uchebnoe posobie [Diffusional Problems in Chemical Kinetics]. MGU Publ., Moscow, 2003, 98 p. (In Russian).
- Cherdantsev, Yu.P., Chernov, I.P., and Tyurin, Yu.I. Metody issledovaniya sistem metall–vodorod: uchebnoe posobie [Methods for Studying Metalhydrogen Systems]. TPU Publ., Tomsk, 2008, 286 p. (In Russian).
- Galaktionova, N.A. Vodorod v metallakh [Hydrogen in Metals]. Metallurgizdat Publ., Moscow, 1959, 255 p. (In Russian).
- Shevchenko, Yu.N., Babeshko, M.E., Piskun, V.V., Prokhorenko, I.V., and Savchenko V.G. Reshenie osesimmetrichnoy zadachi termoplastichnosti dlya tonkostennykh i tolstostennykh tel vrashcheniya na ES EVM [The Solution of the Axisymmetric Problem of Thermoplasticity for Thin-Walled and Thick-Walled Bodies of Revolution on the EU Computer]. Naukova Dumka Publ., Kiev, 1980, 196 p. (In Russian).
- Shevchenko, Yu.N. Termoplastichnost pri peremennykh nagruzheniyakh [Thermoplastocity Under Variable Loads]. Naukova Dumka Publ., Kiev, 1970, 288 p. (In Russian).
- Ilyushin, A.A. Plastichnost. Osnovy obshchey matematicheskoy teorii [Plasticity. Foundations of the General Mathematical Theory]. Izd-vo AN SSSR, Moscow, 1963. 271 p. (In Russian).
- Emelyanov, I.G. and Mironov, V.I. A thermodiffusion problem of hydrogenation of a steel shell structure. Vestnik PNIPU. Mekhanika, 2018, 3, pp. 27–35. (In Russian). DOI: 10.15593/perm.mech/2018.3.03.
- Emelyanov, I.G. and Mironov, V.I. The method for estimation of shell hydrogenation with variable geometrical and physics-mechanicals parameters. AIP Conference Proceedings, 2018, 2053, 030012. DOI: 10.1063/1.5084373.
- Emelyanov, I.G., Mironov, V.I., and Hodak, A.S. The boundary value problem of determining hydrogen concentration and the stress state in a titanium shell. AIP Conference Proceedings, 2019, 2176, 030005. DOI: 10.1063/1.5135129.
- Syrotyuk, A.M., Leshchak, R.L., and Dorosh, M.І. Experimental and analytic investigation of the hydrogenation of pipe steels. Materials Science, 2018, 53, 811–817. DOI: 10.1007/s11003-018-0140-0.
- Ivanytskyi, Ya.L., Hembara, O.V., and Chepil, Ya.O. Determination of the durability of elements of power-generating equipment with regard for the influence of working media. Materials Science, 2015, 51, 104–113. DOI: 10.1007/s11003-015-9815-y.
- Khismatulin, E.R., Korolev, E.M., Livshits, V.I. et al. Sosudy i truboprovody vysokogo davleniya: spravochnik [High-Pressure Vessels and Pipelines: Handbook]. Mashinostroenie Publ., Moscow, 1990, 384 p. (In Russian).
- Pisarenko, G.S., Yakovlev, A.P., and Matveev, V.V. Spravochnik po soprotivleniyu materialov [Handbook on Strength of Materials]. Naukova Dumka Publ., Kiev, 1988, 736 p. (In Russian).
Article reference
Emelyanov I. G., Ogorelkov D. A. The Stress State of a Thick-Walled Shell with Allowance for Contact with a Hydrogen-Containing Medium // Diagnostics, Resource and Mechanics of materials and structures. -
2024. - Iss. 2. - P. 20-35. - DOI: 10.17804/2410-9908.2024.2.020-035. -
URL: http://eng.dream-journal.org/issues/content/article_418.html (accessed: 12/21/2024).
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