PSI - Issue 81

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ScienceDirect

Procedia Structural Integrity 81 (2026) 162–169

VIII International Conference “In - service Damage of Materials: Diagnostics and Prediction“ (DMDP 2025) Assessment and prediction of residual stresses in the plate under localized heating during welding

Borys Shelestovskyi, Hryhorii Habrusiev*, Iryna Habrusieva Ternopil Ivan Puluj National Technical University, 56 Ruska str., Ternopil, 46001, Ukraine

Keywords: residual stresses; localized heating; welding; elastic isotropic plate; plastic strain field; three-dimensional elasticity; stress distribution; through thickness analysis. can be used to improve welding regimes and the reliability of products. © 2026 The Authors. Copy from the contract: Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of DMDP 2025 organizers 1. Introduction: Relevance and References In modern mechanical engineering, shipbuilding, energy, and aerospace industries, welding is one of the most widespread methods of joining structural components. Therefore, the prediction and control of residual stresses are of both fundamental and applied significance. During the production of welded structural elements and in repair or assembly operations, in fact, all types of joints are performed by spot, short butt, or circular welds. Abstract The article deals with the analytical description and assessment of residual stresses arising in the plate under localized heating during welding. Special attention is paid to circular and butt welds characteristic of flange, nozzle, and patch insertions, where transverse deformations cannot be compensated by simple displacements. The plate is modeled as an elastic isotropic layer free of external loads, and the residual plastic strain field is specified analytically with parameters determined from experimental data. Using the equations of three-dimensional elasticity and axisymmetric assumptions, analytical dependencies are derived for finding the radial, hoop, normal, and shear stress components, as well as for the through-thickness difference of principal stresses. Numerical analysis of stress distributions along the radial coordinate and through the plate thickness is carried out for different geometric parameters. The results are compared with solutions based on two-dimensional plate theory under plane stress assumptions. It is shown that for thin plates (about 2 mm), both approaches have similar results, whereas increasing the thickness results in the volumetric nature of the residual stress distribution. The normal stresses are maximal at the mid-plane of the plate, whereas the shear stress peak is at about 0.2 of the thickness from the surface. A localized volumetric stress state near the weld zone and a gradual transition to a plane stress state outside this region are found. The findings are relevant to previous analytical and experimental studies, testifying the adequacy of the proposed model. The developed approach makes it possible to predict residual stresses in welded structures and

* Corresponding author. Tel.: +38-093-471-45-25. E-mail address: habrusiev@gmail.com

2452-3216 © 2026 The Authors. Copy from the contract: Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of DMDP 2025 organizers 10.1016/j.prostr.2026.03.029