PSI - Issue 81

Borys Shelestovskyi et al. / Procedia Structural Integrity 81 (2026) 162–169

169

(a)

(b)

Fig. 6. Distribution of the through-thickness averaged difference of principal stresses along the radial coordinatefor different plate thicknesses h at (a) 2 3  = and (b) 5 3  = .

The area of volumetric stress state caused by welding is localized, and outside this area the plate is under conditions of the plane stress. The averaged principal stresses are small in the vicinity of the localized heating point and are of maximal value at a distance of several plate thicknesses from this point (Figure 6). This fact is important for reconstructing the residual stress distribution pattern based on experimental data. 4. Conclusions 1. An analytical model for predicting residual stresses in the plate under the localized heating during welding was developed, taking into account spatial and plastic strain effects. 2. The model provides closed-form expressions for radial, hoop, normal, and shear stresses, as well as for the through thickness difference of principal stresses. 3. Numerical analysis testifies good agreement between three-dimensional and two-dimensional plate theories for thin plates, while volumetric effects are of significance for thicker plates. 4. The results testify the localized nature of the volumetric stress state near the weld and the transition to plane stress conditions elsewhere. 5. The proposed approach makes it possible to optimize the welding parameters and to improve the welded structure durability. References Habrusiev, H., Habrusieva, I., Shelestovskyi, B., 2018. The effect of initial deformations of the thick plate on its contact interaction with the ring punch. Scientific Journal of TNTU 90(2), 50 – 59. Goldstein, R. V., Gorshkov, A. G., 1972. Thermoelastic analysis of welding processes. In: Nauka, Moscow, 214 p. Kasatkin, B. S., Kudrin, A. B., Lobanov, L. M., Pivtorak, V. A., Polukhin, P. I., Chichenev, N. A., 1981. Welded structures. In: Naukova Dumka, Kyiv, 584 p . Kim, J., Hong, S., 2018. Experimental validation of residual stress models in welded plates under different cooling conditions. Welding Journal 97(5), 150 – 159. Lingen, E., Andersson, H., Thunman, H., 2020. Finite element modeling of residual stresses in thick-walled welded structures. International Journal of Pressure Vessels and Piping 188, 104 – 115. Lobanov, L. M., Makhnenko, V. I., Trufyakov, V. I., 2005. Welded building structures. In: Naukova Dumka, Kyiv, 416 p. Makhnenko, V. I., Kudriavtsev, O. P., 2020. Influence of arc welding parameters on residual stresses in steel plates. Scientific Works of NTUU "KPI" 35(2), 115 – 123. Mikhaylov, S. R., 2021. Nonlinear thermoelastic-plastic modeling of welding residual stresses. Mechanics of Materials, Vol. 161, 104 – 132. Nedoseka, A. Ya., 2008. Fundamentals of calculation and diagnostics of welded structures. In: INDprom Publishing, Kyiv, 816.p. Rosenthal, D., 1946. The theory of moving sources of heat and its application to metal treatments. Transactions of the ASME, Vol. 68, 849 – 866. Shelestovskyi, B., Habrusiev, H., 2003. Contact interaction of a punch with a layer containing residual deformations induced by a circular weld. Mashynoznavstvo 2, 9 – 12. Yasniy, P., Glado, S., Iasnii., V., 2017. Lifetime of aircraft alloy plates with cold expanded holes. International Journal of Fatigue 104, 112-119. Zhang, Y., Liu, H., Wu, C., 2019. Residual stress analysis in welded steel plates using X-ray diffraction and FEM simulation. Journal of Materials Processing Technology 266, 530 – 540.