PSI - Issue 33

I.A. Evstafeva et al. / Procedia Structural Integrity 33 (2021) 933–941 Author name / Structural Integrity Procedia 00 (2019) 000–000

940

8

Table 2. Lifetimes of the pipe for different T  at

50 C R T   .

T 

50

40

30

20

10

0

-10

-20

-30

-40

-50

20.51

21.75

23.18

24.88

26.90 24.14

21.83

19.87 18.19 16.73

t 

19.44

Note that if the shape of the pipe cross-section deviates from the circular, then dissolution of the material becomes non-uniform and localisation of corrosion may occur (see Gutman et al. (2005), Pronina (2017)). Local wear may also be induced by defects in thin films of corrosion products or protective coatings (Kostyrko et al. (2019, 2020), Sevostianov and Kachanov (2009), Zhang et al. (2020)). In these cases, the proposed solution does not work. Add that for preventing propagation of longitudinal cracks originated from local defects in pipes, special thermal treatment of the steel sheets for pipe manufacturing was proposed (see discussion of related fracture problem in the works of Maksimov and Pronina (2020), Pronina et al. (2020)). Conclusion The paper presents a solution to the problem of assessment of the durability of a thin-walled elastic pipe subjected to mechanochemical corrosion under internal and external pressures of different media with generally different temperatures. The proposed solution takes into account the effects of both internal and external pressures (not only their difference), a difference in the elastic stresses through the pipe wall thickness, and thermal stresses. Being obtained in a closed form, this solution can serve as a benchmark for numerical analysis and for design purposes. It is shown that the presented solution demonstrates a perfect coincidence of the results with the exact solution based on the Lame formulas for a pipe under pressure, while the relative error in the pipe lifetime calculated using the classical thin shell model can reach tens of percent. Acknowledgements This work was supported by the Russian Science Foundation, grant No 21-19-00100. References Awrejcewicz, J., Krysko, A., Krylova, E. Y., Yaroshenko, T., Zhigalov, M., Krysko, V., 2020. Analysis of Flexible Elastic-Plastic Plates/Shells Behaviour Under Coupled Mechanical/Thermal Fields and One-Sided Corrosion Wear. Int. J. Non-Linear Mech. 118, 103302. Butusova, Y. N., Mishakin, V. V., Kachanov, M., 2020. On Monitoring the Incubation Stage of Stress Corrosion Cracking in Steel by the Eddy Current Method. International Journal of Engineering Science 148, 103212 Dastjerdi,S., Akgöz,B., Civalek,Ö., Malikan,,M., Eremeyev,,V. A., 2020. On the Non-linear Dynamics of Torus-shaped and Cylindrical Shell Structures. International Journal of Engineering Science. 156, 103371. doi: 10.1016/j.ijengsci.2020.103371 Dehrouyeh-Semnani, A.M., Dehdashti, E., Yazdi, M.R.H., Nikkhah-Bahrami, M., 2019. Nonlinear thermo-resonant behavior of fluid-conveying FG pipes. International Journal of Engineering Science 144, 103141. https://doi.org/10.1016/j.ijengsci.2019.103141 Dolinskii, V. M., 1967. Calculations on Loaded Tubes Exposed to Corrosion. Chemical and Petroleum Engineering, 3 (2), 96–97. Elishakoff 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. Eremeyev, V. A., Rosi, G., Naili, S., 2020. Transverse Surface Waves on a Cylindrical Surface with Coating. International Journal of Engineering Science 147, 103188. Groysman, A., 2017. Physicochemical basics of corrosion at refineries units. Topics in Safety, Risk, Reliability and Quality, 32, pp. 17-36. Gutman, E. M., Zainullin, R. S., Shatalov, A. T., Zaripov, R. A., 1984. Strength of Gas Industry Pipes under Corrosive Wear Conditions . Moscow: Nedra. (in Russian) Gutman, E. M., 1994. Mechanochemistry of Solid Surfaces. World Scientific, Singapore. Gutman, E., Haddad, J., Bergman, R., 2005. Stability of Thin-Walled High-Pressure Cylindrical Pipes With Non-Circular Cross-Section and Variable Wall Thickness Subjected to Non-Homogeneous Corrosion, Thin Walled Structures 43(1), 23–32. Karpunin, V.G., Kleshchev, S.I., Kornishin, M.S., 1975. Calculation of Plates and Shells Taking General Corrosion into Account. In: Proceedings, 10th All-Union Conference of the Theory of Shells and Plates, Metsniereba, Tbilisi.pp. 166–174. (in Russian) Kostyrko, S., Grekov, M., Altenbach, H., 2021. Coupled Effect of Curved Surface and Interface on Stress State of Wrinkled Thin Film Coating at the Nanoscale. ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik, doi:10.1002/zamm.202000202 Kostyrko, S., Grekov, M., Altenbach, H., 2019. Stress Concentration Analysis of Nanosized Thin-Film Coating with Rough Interface. Continuum Mechanics and Thermodynamics, 31(6), 1863-1871. doi:10.1007/s00161-019-00780-4