PSI - Issue 47

Sergei Kabrits et al. / Procedia Structural Integrity 47 (2023) 513–520 S. Kabrits and E. Kolpak / Structural Integrity Procedia 00 (2019) 000 – 000

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Fig. 6. Dependence of the shell lifetime ( t 2 ) on the radius of the torus.

5. Conclusion Our analysis revealed that the stress concentration near the junction of spherical and cylindrical elements of the same radii and thicknesses is relatively slight and does not lead to a noticeable mechanochemical effect, at least at considered geometrical parameters for thin shells. Therefore, the lifetime of such compound shells may be estimated by the available analytical solutions for cylindrical shells, especially when the criterion of the minimal allowable thickness is applied. In cases when the cylindrical and spherical shells have different radii, the maximum stress near the junction may rocket up to the strength limit under the same load. To partially avoid this, the toroidal element may be used to smooth the junction. Despite the smooth junction of the elements of different shapes, the stresses in the vicinity of junction fluctuate significantly. Nevertheless, the total mechanochemical effect in the shell consisting of spherical, toroidal, and cylindrical elements (provided a smooth connections) in case of double-sided corrosion is not very strong because of the fact that increase of stress on external surface is accompanied by the decrease of stress on internal one. In case of one-sided corrosion the situation may be different. Calculations showed that lifetime of the shell consisting of spherical, toroidal, and cylindrical elements increases significantly with the increase in the radius of the toroidal part. Acknowledgements This work was supported by the Russian Science Foundation, grant No 21-19-00100, https://rscf.ru/project/21-19-00100/. References Abakarov, A., Pronina, Y., 2022. Environmentally Assisted Growth of Multiple Cracks Grouped in Stacked Configurations. Procedia Structural Integrity 42, 1046-1053 doi: 10.1016/j.prostr.2022.12.132 Anguiano, M., Masud, A., Rajagopal, K. R., 2022. Mixture Model for Thermo-Chemo-Mechanical Processes in Fluid-Infused Solids. International Journal of Engineering Science 174, 103576. doi: 10.1016/j.ijengsci.2021.103576 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 Mechanics 118, 103302.