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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2025 Volume 25, Issue 3, Pages 391–405 (Mi isu1092)

Scientific Part
Mechanics

The effect of the geometric shape of an incision on the relaxation of residual stresses in a surface-hardened cylinder during thermal exposure

V. P. Radchenko, V. E. Glebov

Samara State Technical University, 244 Molodogvardeyskaya St., Samara 443100, Russia

Abstract: A computational method is proposed for predicting residual stress relaxation during high-temperature creep following prior surface plastic deformation of solid cylinders with square and V-shaped notches. A series of parametric simulations was performed for cylindrical specimens made of EI698 alloy ($20$ mm length, $3.76$ mm radius) with various notch geometries: depths of $\{0.1; 0.3\}$ mm for square notches, and depths of $\{0.1; 0.3\}$ mm with opening angles of $\{1^\circ, 5^\circ, 15^\circ\}$ for V-notches. The study demonstrates that residual stress field calculations after notching a strengthened cylindrical specimen require an elastoplastic formulation. The steady-state creep law was employed to simulate residual stress relaxation at $700^\circ$C over $100$ hours. A parametric analysis of notch geometry effects on stress relaxation was conducted. Results indicate that after the complete loading cycle "hardening treatment at $20^\circ$C  — thermal loading (heating) to $700^\circ$C  — $100$-hour creep at $700^\circ$C  — thermal unloading (cooling) to $20^\circ$C", despite relaxation, significant compressive residual stresses remain. This confirms the effectiveness of surface plastic strengthening for components with the investigated notch types under high-temperature creep conditions.

Key words: solid cylinder, surface plastic deformation hardening, square and V-profile notches, residual stresses, thermal exposure, high-temperature creep, stress relaxation.

UDC: 539.376:621.787

Received: 15.10.2024
Revised: 20.11.2024

DOI: 10.18500/1816-9791-2025-25-3-391-405



© Steklov Math. Inst. of RAS, 2026