Electronic Scientific Journal
 
Diagnostics, Resource and Mechanics 
         of materials and structures
Рус/Eng  

 

advanced search

IssuesAbout the JournalAuthorContactsNewsRegistration

2021 Issue 2

All Issues
 
2024 Issue 1
 
2023 Issue 6
 
2023 Issue 5
 
2023 Issue 4
 
2023 Issue 3
 
2023 Issue 2
 
2023 Issue 1
 
2022 Issue 6
 
2022 Issue 5
 
2022 Issue 4
 
2022 Issue 3
 
2022 Issue 2
 
2022 Issue 1
 
2021 Issue 6
 
2021 Issue 5
 
2021 Issue 4
 
2021 Issue 3
 
2021 Issue 2
 
2021 Issue 1
 
2020 Issue 6
 
2020 Issue 5
 
2020 Issue 4
 
2020 Issue 3
 
2020 Issue 2
 
2020 Issue 1
 
2019 Issue 6
 
2019 Issue 5
 
2019 Issue 4
 
2019 Issue 3
 
2019 Issue 2
 
2019 Issue 1
 
2018 Issue 6
 
2018 Issue 5
 
2018 Issue 4
 
2018 Issue 3
 
2018 Issue 2
 
2018 Issue 1
 
2017 Issue 6
 
2017 Issue 5
 
2017 Issue 4
 
2017 Issue 3
 
2017 Issue 2
 
2017 Issue 1
 
2016 Issue 6
 
2016 Issue 5
 
2016 Issue 4
 
2016 Issue 3
 
2016 Issue 2
 
2016 Issue 1
 
2015 Issue 6
 
2015 Issue 5
 
2015 Issue 4
 
2015 Issue 3
 
2015 Issue 2
 
2015 Issue 1

 

 

 

 

 

V. V. Nazarov

SELECTION OF COMPLEX EQUIVALENT STRESS FOR TWO DIFFERENT VARIANTS OF THE PLANE STRESS STATE

DOI: 10.17804/2410-9908.2021.2.064-072

To describe the creep rupture process under complex stress, various equivalent stresses are considered. From them, the equivalent stress at which the total error of the difference between the experimental and theoretical values takes the smallest value among the considered equivalent stresses is selected. In this paper, three basic equivalent stresses are considered, as well as two complex equivalent stresses, which are a linear combination of the basic ones with one material parameter. The analysis of the total errors in the considered experimental data shows that, with the simultaneous effect of internal pressure and the axial force on the wall of tubular specimens (or biaxial tension of a plane element), a complex equivalent stress should be used in the form of a combination of the maximum normal stress and the Mises stress. For simultaneous torsion and tension of tubular specimens (or simultaneous tension and compression of a plane element), a complex equivalent stress should be used in the form of a combination of the maximum normal stress and the doubled maximum tangential stress.

Acknowledgments: The study was partially financially supported by the Russian Foundation for Basic Research, grant 20−08−00387.

Keywords: creep rupture, time at rupture, plane stress state, equivalent stress

References:

  1. Lokoshchenko A.M., Nazarov V.V. Kinetic approach of investigation of creep-rupture for metals under biaxial tension. Aviatsionno-Kosmicheskaya Tekhnika i Tekhnologiya, 2005, no. 10 (26), pp. 73–79. (In Russian). Available at: http://nbuv.gov.ua/UJRN/aktit_2005_10_15
  2. Lokoshchenko A.M., Nazarov V.V. Choice of Long-Term Strength Criteria for Metals in Combined Stress State. Aviatsionno-Kosmicheskaya Tekhnika i Tekhnologiya, 2004, no. 7 (15), pp. 124−128. (In Russian). Available at: http://nbuv.gov.ua/UJRN/aktit_2004_7_27
  3. Lokoshchenko A.M. Long-term strength of metals in complex stress state (a survey). Mechanics of Solids, 2012, vol. 47, pp. 357–372. DOI: 10.3103/S0025654412030090.
  4. Himeno T., Chuman Y., Tokiyoshi T., Fukahori T., Igari T. Creep rupture behaviour of circumferentially welded mod. 9Cr–1Mo steel pipe subject to internal pressure and axial load. Materials at High Temperatures, 2016, vol. 33, iss. 6, pp. 636−643. DOI: 10.1080/09603409.2016.1226703.
  5. Kobayashi H., Ohki R., Itoh T., Sakane M. Multiaxial creep damage and lifetime evaluation under biaxial and triaxial stresses for type 304 stainless steel. Engineering Fracture Mechanics, 2017, vol. 174, pp. 30−43. DOI: 10.1016/j.engfracmech.2017.01.001.
  6. Dyson B.F., Mclean D. Creep of Nimonic 80A in torsion and tension. Metal Science, 1977, vol. 11, iss. 2, pp. 37–45. DOI: 10.1179/msc.1977.11.2.37.
  7. Cane B.J. Creep damage accumulation and fracture under multiaxial stresses. In: Proceedings of The 5th International Conference on Fracture Mechanics «Advances in Fracture Research», Cannes, France, 29 March-2 April 1981, Oxford, 1981, vol. 3, pp. 1285–1293.
  8. Nazarov V.V. Determination of creep properties under tension and torsion of copper tubular specimens. Inorganic Materials, 2014, vol. 50, pp. 1514−1515. DOI: 10.1134/S0020168514150138.
  9. Kowalewski Z.L. Biaxial creep study of copper on the basis of isochronous creep surfaces. Archives of Mechanics, 1996, vol. 48, no 1, pp. 89−109. Available at: https://am.ippt.pan.pl/am/article/view/v48p89
  10. Stanzl-Tschegg S., Argon A.S., Tschegg E.K. Diffusive intergranular cavity growth in creep in tension and torsion. Acta Metallurgica, 1983, vol. 31, iss. 6, pp. 833−843. DOI: 10.1016/0001-6160(83)90111-6.
  11. Nazarov V.V. Criterion of creep rupture for tubular specimens under tension and torsion. Industrial Laboratory. Diagnostics of Materials, 2014, vol. 80, no. 12, pp. 57−59. (In Russian).
  12. Lebedev A.A. The theory of equivalent stresses as a problem of mechanics of materials. Strength of Materials, 1996, vol. 28, no. 2, pp. 94–108. DOI: 10.1007/BF02215833.
  13. Nazarov V.V. Analysis of two creep rupture models. Diagnostics, Resource and Mechanics of materials and structures, 2019, iss. 5, pp. 73–80. DOI: 10.17804/2410-9908.2019.5.073-080. Available at: https://dream-journal.org/DREAM_Issue_5_2019_Nazarov_V.V._073_080.pdf
  14. Nazarov V.V. Approximation of secondary creep for tubular specimens under tension and torsion. Industrial Laboratory. Diagnostics of Materials, 2015, vol. 81, no 7, pp. 60−61. (In Russian).
  15. Norton F.N. Creep of Steel at High Temperatures, New York, Mc. Graw−Hill Book Company, 1929, 67 p.
  16. Bailey R.W. Creep of steel under simple and compound stresses and the use of high initial temperature in steam power plant. In: Transactions of World Power Conference, Oct–Nov 1929, Tokyo, vol. 3.
  17. Lasdon L.S., Fox R.L., Ratner M.W. Nonlinear optimization using the generalized reduced gradient method. Operations Research, 1974, vol. 8, No. V3, pp. 73−103. Available at: http://www.numdam.org/item/RO_1974__8_3_73_0/
  18. Available at: https://www.solver.com/excel-solver-algorithms-and-methods-used


PDF      

Article reference

Nazarov V. V. Selection of Complex Equivalent Stress for Two Different Variants of the Plane Stress State // Diagnostics, Resource and Mechanics of materials and structures. - 2021. - Iss. 2. - P. 64-72. -
DOI: 10.17804/2410-9908.2021.2.064-072. -
URL: http://eng.dream-journal.org/issues/2021-2/2021-2_321.html
(accessed: 03/29/2024).

 

impact factor
RSCI 0.42

 

MRDMS 2024
Google Scholar


NLR

 

Founder:  Institute of Engineering Science, Russian Academy of Sciences (Ural Branch)
Chief Editor:  S.V. Smirnov
When citing, it is obligatory that you refer to the Journal. Reproduction in electronic or other periodicals without permission of the Editorial Board is prohibited. The materials published in the Journal may be used only for non-profit purposes.
Contacts  
 
Home E-mail 0+
 

ISSN 2410-9908 Registration SMI Эл № ФС77-57355 dated March 24, 2014 © IMACH of RAS (UB) 2014-2024, www.imach.uran.ru