DOI: 10.18503/1995-2732-2026-24-1-88-99
Abstract
Technological processes of cold sheet rolling are accompanied by uneven deformation of the steel billet, which is the main cause of residual stresses and can significantly affect the mechanical properties of sheet or strip rolled products. Unaccounted for residual stresses can lead to defects in the final processing operations of such products or premature failure of finished products. For the proper organization of the rolling process, it is necessary to predict the distribution of residual stresses at various technology parameters immediately at the time of cold-rolled products manufacture, therefore, the task of determining residual stresses and their impact on the quality of the steel sheet is relevant. The work is aimed at evaluating the residual stresses that occur during the manufacturing process of cold-rolled sheet billet intended for cold stamping using the thermoelectromotive force (TEMF) method. For the experimental determination of the TEMF values of cold-rolled strip samples made of 08Yu steel, an original method was used on the Gleeble 3500 system, which has previously proven effective in hardness studies using this method. It has been demonstrated that a strong positive correlation exists between the thermoelectromotive force (TEMF) values and residual stresses measured transverse to the rolling direction, which arise during the production of cold-rolled steel strip. This correlation indicates that as the residual stresses in the strip increase, the TEMF values also increase. The inverse relationship is also valid: higher TEMF values correspond to higher residual stresses in the transverse direction. A methodology has been proposed that involves constructing approximating lines for the experimental dependence of TEMF values on the temperature gradient. The slope of these lines represents the Seebeck coefficient, which can be used to evaluate residual stresses and to generate maps of their distribution over the strip surface. Thus, the applicability of the TEMF method for monitoring residual stresses in cold-rolled steel strip has been substantiated.
Keywords
cold-rolled strip, distribution of residual stresses along the length and width of the strip, thermoelectric research method, thermoelectromotive force, Seebeck coefficient
The work was carried out with the financial support of the Ministry of Science and Higher Education of Russia (project FZRU-2025-0003).
For citation
Chukin M.V., Koptseva N.V., Efimova Yu.Yu., Shemetov A.N. Thermoelectric Non-Destructive Evaluation of Residual Stresses in Cold-Rolled Steel Strip. Vestnik Magnitogorskogo Gosudarstvennogo Tekhnicheskogo Universiteta im. G.I. Nosova [Vestnik of Nosov Magnitogorsk State Technical University]. 2026, vol. 24, no. 1, pp. 88-99. https://doi.org/10.18503/1995-2732-2026-24-1-88-99
1. Pavlov I.M. Teoriya prokatki [Theory of rolling]. Moscow: Nauka, 1950, 610 p. (In Russ.)
2. Kolmogorov G.L., Kuznetsova E.V., Tiunov V.V. Texnologicheskie ostatochnye napryazheniya i ikh vliyanie na dolgovechnost i nadezhnost metalloizdeliy: monografiya [Technological residual stresses and their impact on the durability and reliability of metal products: monograph]. Perm: Perm National Research Polytechnic University Publishing house, 2012, 226 p. (In Russ.)
3. Baryshnikov M.P., Chukin M.V., Boiko A.B. et al Methods for studying the mechanical characteristics of metals and alloys in pressure treatment processes, taking into account the heterogeneity of the structure. Vestnik Magnitogorskogo gosudarstvennogo tekhnicheskogo universiteta im. G.I. Nosova [Vestnik of Nosov Magnitogorsk State Technical University]. 2014;(4(48)):26-31. (In Russ.)
4. Flanagan F., O’Connor A.N., Erfanian M. et al.Through-thickness resolution, stress oscillations and residual stress in cold rolling. European Journal of Mechanics, A/Solids. 2025;114:105761. doi:10.1016/j.euromechsol.2025.105761.
5. Bogdanov N.V., Budyukin A.M. The effect of residual stresses in the metal of the car body after an accident on its reliability. Sovremennye tekhnologii, primenyaemye pri obsluzhivanii i remonte avtomobiley: sb. trudov V Natsionalnoy mezhvuzovskoy nauchno-tekhnicheskoy konferentsii studentov, magistrantov, aspirantov i molodykh uchenykh [Modern technologies used in car maintenance and repair. Collection of works of V National Interuniversity Scientific and Technical Conference of Students, Undergraduates, Postgraduates and Young Scientists]. Saint Petersburg: Emperor Alexander I St. Petersburg State Transport University Publishing House, 2022, pp. 101-105. (In Russ.)
6. Ignatiev A.G., Tretyakov A.A. Improving the durability of refurbished machine parts based on residual stress management. Vestnik YuUrGU. Seriya: Mashinostroenie [Bulletin of South Ural State University. Series: Mechanical Engineering]. 2018;18(1):58-67. (In Russ.) doi: 10.14529/engin180107.
7. Adrian D., Crisan A. Cold Rolling Effects on Material Properties in Pallet Rack Uprights. The Open Civil Engineering Journal. 2017;11:319-331. doi.org/10.2174/1874149501711010319.
8. Mutafia A., Yidris N., Loughlan J. et al. Investigation into the distribution of residual stresses in pressed-braked thin-walled steel lipped channel sections using the 3D-FEM technique. Thin-Walled Structures. 2019;135:437-445. DOI:10.1016/j.tws.2018.11.003
9. Afzal M.J., Hajavifard R., Buhl J. et al. Influence of process parameters on the residual stress state and properties in disc springs made by incremental sheet forming (ISF). Forsch Ingenieurwes. 2021;85:783-793. https://doi.org/10.1007/s10010-021-00491-w
10. Kolmogorov G.L., Kuznetsova E.V., Khabarova D. Relaxation of residual stresses and precision of pipe metal products. Vestnik Magnitogorskogo gosudarstvennogo tekhnicheskogo universiteta im. G.I. Nosova [Vestnik of Nosov Magnitogorsk State Technical University]. 2018;(3(16)):103-108. (In Russ.)
11. Pogulyaev S.I., Maksyutin I.V., Popkov A.S. The effect of uneven distribution of residual and operational stresses in pipes on the occurrence of stress corrosion cracking defects in them. Nauchno-tekhnicheskiy sbornik Vesti gazovoy nauki [Scientific and technical collection “News of gas science”]. 2022;(1(50)):120-132. (In Russ.)
12. Loginov Yu.N., Grekhov S.K. The formation of residual stresses during low carbon wire drawing. Stal [Steel]. 2021;(5):25-28. (In Russ.)
13. Gromov D.V., Radionova L.V., Glebov L.A. Analysis of residual stresses in wire after drawing in monolithic fiber. Vestnik YuUrGU. Seriya: Metallurgiya [Bulletin of South Ural State University. Series: Metallurgy]. 2025;25(3):48-59. (In Russ.) doi: 10.14529/met250305.
14. Fairushin A.M., Markelov D.A., Marchenko I.A. Investigation of patterns of residual stresses in sheet metal after cold bending operations. Elektronnyi nauchnyi zhurnal Neftegazovoe delo [Electronic scientific Journal “Oil and gas business”]. 2020;(4):74-84. (In Russ.)
15. Kolikov A.P., Lyutsau A.V., Lisunets N.L. et al. The effect of residual stresses on the quality of products during cold pressure treatment of sheet workpieces. Izvestiya MGTU «MAMI» [News of MSTU MAMI]. 2011;(2(12)):139-144. (In Russ.)
16. Flanagan F., O’Connor A.N., Erfanian M. et al. Careful finite element simulations of cold rolling with accurate through-thickness resolution and prediction of residual stress. ArXiv preprintarXiv: 2408.03242. 2024;1-33. https://arxiv.org/pdf/2408.03242
17. Nakhoul R., Montmitonnet P., Potier-Ferry M. Multi-scale method for modeling thin sheet buckling under residual stresses in the context of strip rolling. International Journal of Solids and Structures. 2015;66:62-76. https://doi.org/10.1016/j.ijsolstr.2015.03.028.
18. Maksimov E.A., Shatalov R.L., Shalamov V.G. Development of a methodology for calculating residual stresses and spring parameters of a sheet on a regular roller machine. Izvestiya vuzov. Chernaya metallurgiya [News of universities. Ferrous metallurgy]. 2021;64(1):14-20. DOI: 10.17073/0368-0797-2021-1-14-20. (In Russ.)
19. Sun W., Shao J., He A. et al. Research on Distribution of Residual Stresses of Cold Rolled Sheet Distorted Area Based on ANSYS. Manufacturing technology – abstracts. 2015;15(2):220-226. DOI: 10.21062/ujep/x.2015/a/1213-2489/MT/15/2/220.
20. Tretyakov E.M. Residual stresses in cold-formed thin products and in thin-sheet trained metal. Problemy mashinostroeniya i nadezhnosti mashin [Problems of mechanical engineering and machine reliability]. 2008;(1):49-61. (In Russ.)
21. Monakhov A.D., Yakovlev N.O., Avtaev V.V. et al. Destructive methods for determining residual stresses (review). Trudy VIAM [Proceedings of VIAM]. 2021;(9 (103)):95-104. (In Russ.) DOI: 10.18577/2307-6046-2021-0-9-95-104.
22. Pichugin S.S., Shitikov V.S., Golovkov A.N. Non-destructive methods of residual stress assessment. Trudy VIAM [Proceedings of VIAM]. 2024;(1(131)):101-112. (In Russ.) DOI: 10.18577/2307-6046-2024-0-1-101-112.
23. Orlov D.V. Termoelektricheskie effekty v metallakh [Thermoelectric effects in metals]. Yekaterinburg: UrFU, 2005, 150 p. (In Russ.)
24. Soldatov A.I., Soldatov A.A., Kostina M.A. Modern trends in the application of the thermoelectric method in non-destructive testing (review). Defektoskopiya [Flaw detection]. 2024;(2):64-83. (In Russ.)
25. Nesterovich Yu.I. Razrabotka metoda i sredstva termoelektricheskogo kontrolya metallov i splavov: dis. …kand. tekhn. nauk. [Development of a method and means of thermoelectric control of metals and alloys. Ph.D. dissertation]. Orel, 2000, 281 p. (In Russ.)
26. Timofeev M.V., Tatarinov A.Y., Fomevko R.N. et al. Analysis of the possibilities of the thermoelectric method of non-destructive testing. Spravochnik. Inzhenernyi zhurnal [Reference book. Engineering magazine]. 2008;(8(137)):25-30 (In Russ.)
27. Carreon H., Medina A. Nondestructive characterization of the level of plastic deformation by thermoelectric power measurements in cold-rolled Ti-6Al-4V samples. Materials Science, Nondestructive Testing and Evaluation. 2007;22(4):299-311. DOI: 10.1080/10589750701546960.
28. Soldatov A.A., Seleznev A.I., Fiks I.I. et al. Nondestructive proximate testing of plastic deformations by differential thermal EMF measurements. Russian Journal of Nondestructive Testing. 2012;48(3):184-186. DOI: 10.1134/S1061830912030060.
29. Carreon H., Nagy P.B., Blodgett M.P. Thermoelectric Nondestructive Evaluation of Residual Stress in Shot-Peened Metals. Research in Nondestructive Evaluation. 2002;14(2):59. DOI: 10.1080/09349840209409705
30. Chukin M.V., Efimova Yu.Y., Koptseva N.V. Determination of the heterogeneity of the properties of a cold-rolled strip by TEMF. Message 1. Development of research methodology. Chernye metally [Ferrous metals]. 2026;60-66. (In Russ.)
31. Nikulin S.A., Shitkin S.L., Rozhnov A.B. et al. Application of the X-ray method for determining the stress state of railway transport parts. Izvestiya vysshikh uchebnykh zavedeniy. Chernaya metallurgiya [News of universitites. Ferrous metallurgy]. 2017;60(3):200-206. (In Russ.) DOI:10.17073/0368-0797-2017-3-200-206.

