PSI - Issue 6
Irina Stareva et al. / Procedia Structural Integrity 6 (2017) 48–55 Author name / Structural Integrity Procedia 00 (2017) 000 – 000
7
54
r r m a / and
R R m a / both the mentioned errors become greater.
For greater ratios
4. Conclusion
An algorithm is developed for the problem of a vertically standing or hanging long initially cylindrical tube subjected to mechanochemical corrosion under its own weight. As it was expected, the mechanochemical effect is noticeable for long enough tubes. Despite the fact that the stress grows very slowly with time, using the simplified formula ignoring the effect of synergetic growth of stress and corrosion rate is not justified when the mechanochemical effect should be taken into account.
Acknowledgements
This work was supported by the Russian Foundation for Basic Research (project N 16-08-00890).
References
Bergman R.M., Levitsky S.P., Haddad J., Gutman E.M., 2006. Stability loss of thin-walled cylindrical tubes, subjected to longitudinal compressive forces and external corrosion. Thin-Walled Struct. 44 (7), 726–729. Dolinskii V.M., 1967. Calculations on loaded tubes exposed to corrosion. Chemical and Petroleum Engineering, Vol. 3 (2), pp. 9697. Elishako ff I. , Ghyselinck G., Miglis Y., 2012. Durability of an elastic bar under tension with linear or nonlinear relationship between corrosion rate and stress. Journal of Applied Mechanics, Trans. ASME, Vol. 79 (2), 021013. Evstifeev A.D., Gruzdkov A.A., Petrov Y.V., 2013. Dependence of the type of fracture on temperature and strain rate. Technical Physics. Vol. 58, N 7. P. 989-993. Freidin A.B., 2015. On the chemical a ffi nity tensor for chemical reactions in deformable materials. Mechanics of Solids. Vol. 50. 3. P. 260–285. Freidin A.B., Korolev I.K., Aleshchenko S.P., Vilchevskaya E.N., 2016. Chemical a ffi nity tensor and chemical reaction front propagation: theory and FE-simulations. International Journal of Fracture. 202(2), pp. 245-259. Fridman M., 2014. Optimal design of compressed columns with corrosion taken into account. Journal of Theoretical and Applied Mechanics 52, 1, Warsawp, p. 129-137. Fridman M. and Elishako ff I., 2013, Buckling optimization of compressed bars undergoing corrosion. Ocean Syst. Eng., 3(2), 123-136. Fridman M. and Elishako ff I ., 2015. Design of bars in tension or compression exposed to a corrosive environment. Ocean Systems Engineering, Vol. 5, No. 1 pp. 21-30 DOI: 10.12989/ose.2015.5.1.021 21 Grekov M.A., 2004. The perturbation approach for a two-component composite with a slightly curved interface. Vestnik St-Petersburg University. Ser 1. Matematika Mekhanika Astronomiya. Issu 1. P. 8188 Grekov M.A., Kostyrko S.A., 2016. Surface e ff ects in an elastic solid with nanosized surface asperities. Int. J. Solids Struct. Vol. 96, 1 Oct. P. 153-161. DOI: 10.1016/j.ijsolstr.2016.06.013 Gutman E.M., 1994 . Mechanochemistry of solid surfaces. World Scientific, Singapore. Izotov I.N., Kuznetsov N.P., Melnikov B.E., Mityukov A.G., Musienko A.Y., Semenov A.S., 2001. Modification of the multisurface theory of plasticity with one surface. Comparison with experimental data. Proceedings of SPIE - The International Society for Optical Engineering, 4348, pp. 390-397. Izotov I.N., Kuznetsov N.P., Melnikov B.E., Mityukov A.G., Ponomareva S.V., 2004. Elasto-plastic behavior of steel tubes under complex threeaxial loading. Experimental data. Comparison with the predictions of plasticity theories. Proceedings of SPIE - The International Society for Optical Engineering, 5400, pp. 244-257. DOI: 10.1117/12.555497 Kabanin V.V., Naumova G.A., Ovchinnikov I.G., 2007. Strength of shells of revolution subjected to corrosive wear at nonuniform temperatures. Izdvo VolgGASU. Volgograd. Kolpak E.P., Ivanov S.E., 2015. Mathematical and computer modeling vibration protection system with damper. Applied Mathematical Sciences, 9 (77–80), 3875–3885.
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