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2024 №04 (05) DOI of Article
10.37434/as2024.04.06
2024 №04 (01)

Automatic Welding 2024 #04
Avtomaticheskaya Svarka (Automatic Welding), #4, 2024, pp. 47-54

Mathematical modeling of overall distortions at welding of large-sized vessels of aluminum alloys

B.R. Tsaryk, O.V. Makhnenko

E.O. Paton Electric Welding Institute of the NASU. 11 Kazymyr Malevych Str., 03150, Kyiv, Ukraine. E-mail: makhnenko@paton.kiev.ua

The problem of calculation prediction of the overall distortions of a large vessel made of aluminum alloy during friction stir welding (FSW) is considered. A mathematical model was developed using numerical thermoplasticity analysis for determining the stress-strain state during FSW, by the means of which it is possible to obtain residual plastic strains (the inherent strain function) for two types of the vessel welded joints (longitudinal and circular). This allows prediction of the overall distortions of a large-sized cylindrical vessel with a large number of welded joints by the approximate method of inherent strains within the limits of the theory of elasticity. The reliability of the mathematical model for determining the residual stresses and strains at FSW of aluminum alloy is confirmed by the agreement of the calculated data on distribution of the residual longitudinal stresses with the data of experimental measurements. This can contribute to ensuring the necessary accuracy of predicting the overall distortions of large vessels of aluminium alloy accordingly. The developed mathematical models and calculation algorithms can be effectively used for operational prediction of the stress-strain state during assembly welding of large-sized cylindrical vessels made of aluminum alloys. 11 Ref., 9 Fig.
Keywords: welded vessels, aluminum alloy, friction stir welding, plastic strains, residual stresses, mathematical modeling

Received: 01.07.2024
Received in revised form: 10.07.2024
Accepted: 31.07.2024

References

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7. Makhnenko, O.V. (2010) Combined use of the method of thermoplasticity and the method of the shrinkage function for the study of the process of thermal straightening of shipbuilding panels. J. of Mathematical Sci., 167(2), 232- 241. https://doi.org/10.1007/s10958-010-9917-x
8. Makhnenko, V.I. (1976) Calculation methods for studying the kinetics of welding stresses and deformations. Kyiv, Naukova Dumka [in Russian].
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