On the kinetic physical and mathematical metal creep theory controlled by thermally activated dislocation sliding

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Resumo

The rationale for the prospects of using the physical and mathematical theory of metal creep in creep computations is carried out by a comparative analysis of the classical phenomenological and physical and mathematical metal creep theories. On the example of the description by both theories specific results of non-stationary creep experiments and analysis of the theories equations it is shown that implementing the physical kinetic equation for the actual structural parameter of the material, namely the scalar density of immobile dislocations, makes the physical and mathematical theory universal for solving non-stationary metal creep problems with multiaxial loading, when change, including abruptly, temperature, forces and loading rates.

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Sobre autores

V. Greshnov

Ufa University of Science and Technology

Autor responsável pela correspondência
Email: Greshnov_VM@list.ru
Rússia, Ufa

R. Shaikhutdinov

Ufa University of Science and Technology

Email: shaykhutdinovri@gmail.com
Rússia, Ufa

Bibliografia

  1. Kachanov L.M. Theory of creep. Moscow: Fizmatgiz, 1960.
  2. Rabotnov Yu.N. Creep of structural elements. M.: Nauka, 1966.
  3. Greshnov V.M. Physico-mathematical theory of large irreversible deformations of metals // M.: Fizmatlit, 2018.
  4. Greshnov V.M. Physico-Mathematical Theory of High Irreversible Strains in Metals, CRC Press, 2019.
  5. Rumer Yu.B., Ryvkin M.Sh. Thermodynamics. Statistical physics and kinetics. Novosibirsk: Siberian University Edition, 2001. 608 p.
  6. Kachanov L.M. On the time of destruction under creep conditions // Izv. Academy of Sciences of the USSR. OTN. 1958. V. 8. P. 26–31.
  7. Rabotnov Yu.N. On the mechanism of long-term destruction // Issues of strength of materials and structures. M.: Publishing House of the USSR Academy of Sciences, 1959. P. 5–7.
  8. Lokoshchenko A.M. Creep and long-term strength of metals. M.: Fizmatlit, 2016.
  9. Malinin N. Calculations for creep of elements of mechanical engineering structures, 2nd ed., rev. and additional Textbook for bachelor’s and master’s degrees, Litres, 2022.
  10. Malinin N.N. Applied theory of plasticity and creep, 2020.
  11. Greshnov V.M., Puchkova I.V. Model of plasticity of metals under cyclic loading with large deformations // Appl. Mech. Tech. Phys. 2010. V. 51. № 2. P. 160–169.
  12. Greshnov V.M. Physical-mathematical theory of irreversible strains in metals // Mech. Solids. 2011. V. 46. № 4. P. 544–553.
  13. Greshnov V.M. et al. Mathematical modeling of multi-transition processes of cold die forging based on the physical and mathematical theory of plastic shaping of metals. Part 1. Calculation of the stress-strain state //Forging and stamping production. Metal forming. 2001. № 8. P. 33.
  14. Greshnov V.M. et al. Mathematical modeling of multi-transition processes of cold die forging based on the physical and mathematical theory of plastic shaping of metals. Part 2. Calculation of deformation damage and prediction of macrofracture // Forging and stamping production. Metal forming. 2001. № 10. P. 33–39.
  15. Greshnov V.M. Model of a viscoplastic body taking into account the history of loading // News of the Russian Academy of Sciences. Mechanics of solids. 2005. № 2. P. 117–125.
  16. Greshnov V.M., Pyataeva I.V., Sidorov V.E. Physico-mathematical theory of plasticity and creep of metals // Bulletin of the Ufa State Aviation Technical University. 2007. V. 9. № 6. P. 143–152.
  17. Greshnov V.M., Shaikhutdinov R.I., Puchkova I.V. Kinetic physical and phenomenological model of long-term strength of metals // Appl. Mech. Tech. Phys. 2017, V. 58. № 1. P. 189–198.
  18. Greshnov V.M., Safin F.F., Puchkova I.V. Plastic Structure Formation of the 1570R Alloy (Al–Mg–Sc) Using the Physico-Mathematical Theory of Metal Plasticity // J. Appl. Mech. Tech. Phys. 2022. V. 63. № 4. P. 669–675; https://doi.org/10.1134/S0021894422040149
  19. Greshnov V.M. et al. Al-Mg-Sc (1570) Alloy Structure Formation Process //Proceedings of the International Conference on Aerospace System Science and Engineering 2021, Singapore: Springer Nature Singapore, 2022. P. 547–554; https://doi.org/10.1007/978-981-16-8154-7_41
  20. Greshnov V.M., Shaikhutdinov R.I. Physico-phenomenological model of dislocation creep of metals // Bulletin of the Ufa State Aviation Technical University. 2013. V. 17. № 1 (54). P. 33–38.
  21. Ishlinsky A.Yu., Ivlev D.D. Mathematical theory of plasticity. M.: Fizmatlit, 2003. 701 p.
  22. Namestnikov V.S., Rabotnov Yu. N. On hereditary theories of creep // Appl. Mech. Tech. Phys. 1961. V. 2. № 4. P. 148.
  23. Bailey R.W. The utilization of creep test data in engineering design // Proceedings of the Institution of Mechanical Engineers. 1935. V. 131. № 1. P. 131–349.
  24. Oding I.A. Mechanism of creep of metals // Metallurgist. 1934. № 1.
  25. Namestnikov V.S., Khvostunkov A.A. Creep of duralumin under constant variable loads // Appl. Mech. Tech. Phys. 1960. № 4. P. 90–95.

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2. Fig. 1. Creep curve: I, the first unsteady stage; II, the second steady-state stage at which and has a minimum value; III, the third stage ending in the failure of the specimen. In the figure, where index c stands for creep characteristics and index e stands for elastic deformation characteristics.

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3. Fig. 2. Creep curve (εc in % of t in hours) of D16T alloy at temperature 150 °C and stress change from lower σ1 = 292 MPa (22 h) to higher σ2 = 340 MPa (14 h) (points - experiment [25], solid line - calculation according to physical and mathematical theory, dotted line - according to phenomenological theory of hardening).

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4. Fig. 3. Dependence of scalar density of fixed dislocations (ρs in cm-2 on t in hours) during creep of D16T alloy at temperature 150 °C and jumping change of stress from lower σ1 = 292 MPa (22 h) to higher σ2 = 340 MPa (14 h) (calculation by physical and mathematical theory of creep).

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5. Fig. 4. Creep curve (εc in % of t in hours) of D16T alloy at a temperature of 200 °C and a jumping change of stress from the higher σ1 = 160 MPa (24 h) to the lower σ2 = 120 MPa (26 h). Dots - experiment [25], solid curve - calculation (calculation according to the physical and mathematical theory of creep).

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