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Determination of residual stresses in structural elements with continuously distributed eigenstrains

https://doi.org/10.26896/1028-6861-2025-91-4-67-77

Abstract

The aim of the work is to demonstrate the application of the cutting method in determining the membrane component of residual stresses in elements of metal structures with continuously distributed eigenstrains, when methods of etching, drilling holes and X-ray diffraction can provide only limited information. The objects of the study area (a) a 250 × 25 × 10 mm bar made of aluminum-magnesium alloy, one narrow face of which is subjected to spot pressure treatment, (b) a 150 × 25 × 10 mm edge made of austenitic stainless steel, surfaced on the basis by wire-arc, (c) sheet ferritic-martensitic steel with a thickness of 14 mm, subjected to mechanothermic treatment. The method used consisted in (1) cutting a sample in the form of a bar cut from a workpiece by an electroerosion method into strips 1 mm thick at a coordinate along which the membrane component of residual stresses was inhomogeneously distributed, and (2) measuring the deflections of the strips and reconstructing from these data the distributions of the sought component of residual stresses and the incompatible part of the eigenstrains that generate these residual stresses, according to the relations obtained by the authors earlier. As the result in all considered problems the method showed fairly good solvability and revealed technologically important differences in the distributions of residual stresses in the height of the edge surfaced by wire-arc with and without layer forging with pneumatic tools, as well as in the thickness of the sheet subjected to unilateral rapid cooling with or without plastic bending in one direction or the other. The method does not require special laboratory equipment, and the cutting method used has a minimal effect on the material, symmetrically on both sides of the strips.

About the Authors

I. E. Keller
Institute of Continuous Media Mechanics of the Ural Branch of RAS
Russian Federation

Ilya E. Keller,

1, ul. Akad. Koroleva, Perm, 614013.



D. S. Petukhov
Institute of Continuous Media Mechanics of the Ural Branch of RAS
Russian Federation

Dmitriy S. Petukhov,

1, ul. Akad. Koroleva, Perm, 614013.



D. S. Dudin
Institute of Continuous Media Mechanics of the Ural Branch of RAS
Russian Federation

Dmitriy S. Dudin,

1, ul. Akad. Koroleva, Perm, 614013.



G. L. Permyakov
Perm National Research Polytechnic University
Russian Federation

Gleb L. Permyakov,

29, Komsomolsky prosp., Perm, 614990.



D. N. Trushnikov
Perm National Research Polytechnic University
Russian Federation

Dmitriy N. Trushnikov,

29, Komsomolsky prosp., Perm, 614990.



A. B. Maksimov
Kerch State Marine Technological University
Russian Federation

Alexandr B. Maksimov,

82, Ordzhonikidze ul., Kerch, 298309.



References

1. Birger I. A. Residual Stresses. — Moscow: Mashgiz, 1963. — 233 p. [in Russian].

2. Pavlov V. F., Kirpichev V. A., Vakuluk V. S. Prediction of fatigue resistance of surface-hardened parts based on residual stresses. — Samara: Izd. SNTs RAN, 2012. — 125 p. [in Russian].

3. Makhutov N. A., Razumovskii I. A., Kosov V. S., et al. Study of residual stresses using electron digital speckle interferometry in full-scale conditions / Zavod. Lab. Mater. Diagn. 2008. Vol. 74. No. 5. P. 47 – 51 [in Russian].

4. Schajer G. S. Advances in hole-drilling residual stress measurements / Experimental Mechanics. 2010. Vol. 50. No. 2. P. 159 – 168. DOI: 10.1007/s11340-009-9228-7

5. Makhutov N. A., Razumovskii I. A. Methods for analyzing residual stress fields in spatial details / Zavod. Lab. Mater. Diagn. 2017. Vol. 83. No. 1. Part 1. P. 56 – 64 [in Russian].

6. Korsunsky A. M. A teaching essay on residual stresses and eigenstrains. — Oxford: Butterworth-Heinemann, 2017. — 197 p.

7. Kalokoutzky N. V. An Investigation into the Internal Stresses Occurring in Cast Iron and Steel. — St. Petersburg: A. M. Wolf, 1887. — 127 p. [in Russian].

8. Davidenkov N. N. Bending deflection method / Zeitschrift fur Metallkunde. 1932. Vol. 24. No. 2. P. 25 – 29.

9. Sachs G., Espey G. A new method for determination of stress distribution in thin-walled tubing / Transactions of the AIME. 1942. Vol. 147. P. 348 – 360.

10. US Pat. 2015/0219444, B23K 26/34, B22F 3/105. Method and Apparatus for Determining Residual Stresses of a Component / Bamberg J., Hessert R.; applicant MTU Aero Engines AG. — DE 102014202020.4; appl. 05.02.2014, publ. 06.08.2015.

11. Tebedge N., Alpsten G., Tall L. Residual-stress measurement by the sectioning method / Experimental Mechanics. 1973. Vol. 13. No. 2. P. 88 – 96.

12. Withers P. J., Bhadeshia H. K. D. H. Residual stress. Part 1. Measurement techniques / Materials Science and Technology. 2001. Vol. 17. No. 4. P. 355 – 365. DOI: 10.1179/026708301101509980

13. Rossini N. S., Dassisti M., Benyounis K. Y., Olabi A. G. Methods of measuring residual stresses in components / Materials and Design. 2012. Vol. 35. P. 572 – 588. DOI: 10.1016/j.matdes.2011.08.022

14. Sherman D. R. Residual stress measurement in tubular members / ASCE Journal of Structural Division. 1969. Vol. 95. No. ST4. P. 635 – 648.

15. Cruise R. B., Gardner L. Residual stress analysis of structural stainless steel sections / Journal of Constructional Steel Research. 2008. Vol. 64. No. 3. P. 352 – 366. DOI: 10.1016/j.jcsr.2007.08.001

16. US Pat. 1638425A, G01B 5/30. Strain Gauge / Whittemore H. L. — Appl. No. US 74516; appl. 10.12.1925, publ. 09.08.1927. US Pat. Office 1638425.

17. RU Pat. 2797771, G01N 3/20. Method for determining residual stresses in a rib on a rigid base / Keller I. E., Petukhov D. S., Dudin D. S., Permiakov G. L., Trushnikov D. N.; proprietor Perm Nat. Res. Polytech. Univ. — No. 2022133445; appl. 20.12.2022; publ. 08.06.2023. Byull. No. 16 [in Russian].

18. Petukhov D., Keller I. Exact reconstruction formulas for plastic strain distribution in the surface-treated plate and their applications / Acta Mechanica. 2020. Vol. 231. P. 1849 – 1866. DOI: 10.1007/s00707-020-02625-7

19. Olshanskaya T., Trushnikov D., Dushina A., et al. Microstructure and properties of the 308l SI austenitic steel produced by plasma-MIG deposition welding with layer-by-layer peening / Metals. 2022. Vol. 12. No. 1. DOI: 10.3390/met12010082

20. RU Pat. 2790243, C21D 8/02. Method for deformation and heat treatment of flat steel / Maksimov A. B., Pronina Yu. G., Erokhina I. S.; proprietor Kerch Gov. Marine Technol. Univ. — No. 2022100467; appl. 11.01.2022; publ. 15.02.2023. Byull. No. 5 [in Russian].


Review

For citations:


Keller I.E., Petukhov D.S., Dudin D.S., Permyakov G.L., Trushnikov D.N., Maksimov A.B. Determination of residual stresses in structural elements with continuously distributed eigenstrains. Industrial laboratory. Diagnostics of materials. 2025;91(4):67-77. (In Russ.) https://doi.org/10.26896/1028-6861-2025-91-4-67-77

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ISSN 1028-6861 (Print)
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