Skip to main content
Log in

Description of creep and fracture of modern construction materials using kinetic equations in energy form

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

It has been shown experimentally and theoretically that the equations of the Rabotnov kinetic theory of creep with a scalar damage parameter can be used to describe the deformation (up to fracture) of metallic materials in creep without restrictions on the creep strain and energy dissipation at the moment of fracture. In finding the functional dependences in the equations of creep and damage, the damage parameter is determined by the amount of normalized specific energy dissipation in the process of material creep under the necessary condition of similarity of the initial creep curves for constant stresses and temperatures in the normalized variables.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. F. Nikitenko, O. V. Sosnin, N. G. Torshenov, and I. K. Shokalo, “Strength Characteristics of Titanium Alloys,” Prikl. Mekh. Tekh. Fiz. 17(6), 118–122 (1976) [J. Appl. Mech. Tech. Phys. 17 (6), 849–852 (1976)].

    Google Scholar 

  2. B. V. Gorev and I. Zh. Masanov, “Features of Deformation of Sheets and Plates of Aluminum Alloys in Creep Modes,” Tekhnologiya Mashinostroeniya, No. 7, 13–20 (2009).

    Google Scholar 

  3. B. V. Gorev and O. V. Sosnin, “Technological Processes of Plastic Working of Metals in Creep Modes and Their Modeling,” in Modern Metal Materials and Technologies, Proc. Int. Scientific-Tech. Conf. St. Petersburg, June 24–26, 2009 (St. Petersburg State Polytechnic University, St. Petersburg, 2009), pp. 257–269.

    Google Scholar 

  4. B. V. Gorev, I. D. Klopotov, and I. V. Lyubashevskaya, “Creep and Damage Behavior of AK4-1 T and VT-9 Alloy Under Different Stress State,” Theor. Appl. Fracture Mech., No. 29, 1–10 (1998).

    Google Scholar 

  5. S. S. Ushkov and D. I. Chashnikov, “The Term Superplasticity in Broad and Narrow Senses,” Sudostroit. Prom., Ser. Metalloved. Metallurg. 13, 11–21 (1990).

    Google Scholar 

  6. O. V. Sosnin, B. V. Gorev, and A. F. Nikitenko, Energy Variant of Creep Theory, (Lavrent’ev Institute of Hydrodynamics, Siberian Branch, USSR Academy of Sciences, Novosibirsk, 1986) [in Russian].

    Google Scholar 

  7. Yu. N. Rabotnov, Mechanics of Deformable Solids (Nauka, Moscow, 1988) [in Russian].

    Google Scholar 

  8. A. F. Nikitenko, Creep and Long-Term Rupture Strength of Metallic Materials (Novosibirsk State University of Architecture and Civil Engineering, Novosibirsk, 1997) [in Russian].

    Google Scholar 

  9. B. V. Gorev, T. E. Zakharova, and I. D. Klopotov, “On the Description of the Creep and Fracture of Materials with Nonmonotonically Varying Strain-Strength Properties,” Fiz. Mezomekh. 5(2), 17–22 (2002).

    Google Scholar 

  10. B. V. Gorev, I. F. Masanov, A. I. Oleynikov, and A. I. Pekarsh, “Strain-Strength Behavior of Aluminum-Based Sheet Materials as Applied to the Shaping of Parts in the Creep Mode,” in Dynamic and Technological Problems of Mechanics of Structures and Continua, Proc. of the 11th Int. Symp., Yaropolets, February 14–18, 2005 (Moscow Aviation Institute, 2005), pp. 115–117.

    Google Scholar 

  11. V. V. Rubanov, “Damage Parameter Under Creep,” in Dynamics of Continuous Media, No. 49: Nonclassical Problems of Elasticity and Plasticity (Inst. of Hydrodynamics, Sib. Branch, USSR Acad. of Sci., Novosibirsk, 1981), 151–156.

    Google Scholar 

  12. V. I. Astaf’ev, “The Dissipative Criterion of Creep Rupture,” Prikl. Mekh. Tekh. Fiz. 24(4), 167–170 (1983) [J. Appl. Mech. Tech. Phys. 24 (4), 601–603 (1983)].

    Google Scholar 

  13. I. Yu. Tsvelodub, The Stability Postulate and Its Application in the Theory of Creep of Metallic Materials (Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 1991) [in Russian].

    Google Scholar 

  14. O. V. Sosnin and I. K. Shokalo, “Energy Version of the Theory of Creep and Long-Term Rupture Strength. 2. Creep and Fracture of Materials with Initial Hardening,” Probl. Prochnosti, No. 1, 43–48 (1974).

    Google Scholar 

  15. B. V. Gorev, “Estimating the Creep and Long-Term Rupture Strength of Structural Elements by the Method of Characteristic Parameters,” Probl. Prochnosti, No. 4, 30–36 (1979).

    Google Scholar 

  16. B. V. Gorev and S. N. Korobeinikov, “The Determination of the Shear Strain of Metallic Materials in Creep,” in Topical Problems of Continuum Mechanics, Proc. 2nd Int. Conf., Dilijan, October 4–8, 2010 (Yerevan Telecommunication Research Institute, Yerevan, 2010), Vol. 1, pp. 187–191.

    Google Scholar 

  17. O. V. Sosnin, A. F. Nikitenko, and B. V. Gorev, “Justification of the Energy Variant of the Theory of Creep and Long-Term Strength of Metals” Prikl. Mekh. Tekh. Fiz. 51(4), 188–197 (2010) [J. Appl. Mech. Tech. Phys. 51 (4), 608–614 (2010)].

    Google Scholar 

  18. I. V. Lyubashevskaya, B. V. Gorev, and V. A. Panamarev, “Version of the Kinetic Equations of Creep and Damage with an Energy Parameter of Damage,” Vestn. Nizhegor. Univ. im. N. I. Lobachevskogo 5(4), 2321–2323 (2011).

    Google Scholar 

  19. B. V. Gorev and I. B. Lyubashevskaya, “Method of Determining the Functional Dependences of the Kinetic Equations for the Description of Creep Rupture,” in Proceedings of the 9th Int. Conf. on Nonequilibrium Processes in Nozzles and Jets (NPNJ’ 2012), Alushta, May 25–31, 2012 (Moscow Aviation Institute, Moscow, 2012), pp. 337–339.

    Google Scholar 

  20. A. Yu. Larichkin and B. V. Gorev, “Construction of Shear Creep Strains of Pure Torsion of Solid Round Bars,” Nauch.-Tekhn. Vedomosti S.-Peterb. Gos. Politekh. Univ., Fiz.-Mat. Nauki, 3, 212–219 (2013).

    Google Scholar 

  21. B. V. Gorev, “High-Temperature Creep of Structural Alloys and Its Application to Shaping of Large Parts,” Doct. Dissertation in Tech. Sci. (Novosibirsk, 2003).

    Google Scholar 

  22. S. N. Korobeinikov, A. I. Oleinikov, B. V. Gorev, and K. S. Bormotin, “Mathematical Modeling of the Creep of Metal Products of Materials Having Different Properties under Tension and Compression,” Vychisl. Metod. Programm. 9(2), 160–179 (2008).

    Google Scholar 

  23. I. A. Banshchikova, B. V. Gorev, and I. Yu. Tsvelodub, “Creep of Plates Made of Aluminum Alloys Under Bending,” Prikl. Mekh. Tekh. Fiz. 48(5), 156–159 (2007) [J. Appl. Mech. Tech. Phys. 48 (5), 751–754 (2007)].

    Google Scholar 

  24. B. V. Gorev and I. A. Banshchikova, ”Description of the Descending Section of Stress-Strain Curves Using the Kinetic Equations with a Scalar Damage Parameter,” Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki, No. 2, 1–4 (2008).

    Google Scholar 

  25. B. V. Gorev and I. A. Banshchikova, “Description of the Process of Creep and Fracture of Hardening Materials by the Kinetic Equations with a Scalar Damage Parameter,” Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki, No. 2, 1–7 (2009).

    Google Scholar 

  26. I. Yu. Tsvelodub, “Construction of Constitutive Equations of Creep in Orthotropic Materials with Different Properties under Tension and Compression,” Prikl. Mekh. Tekh. Fiz. 53(6), 98–101 (2012) [J. Appl. Mech. Tech. Phys. 53 (6), 888–890 (2012)].

    MathSciNet  Google Scholar 

  27. B. V. Gorev and V. A. Panamarev, “Method of Integral Characteristics for Calculation of the Bending of Structural Elements,” Nauch.-Tekh. Vedomosti St.-Peterb. Gos. Politekh. Univ., Fiz.-Mat. Nauki 3, 268–273 (2013).

    Google Scholar 

  28. B. V. Gorev, V. A. Panamarev, and I. V. Lyubashevskaya, “Justification of the Kinetic Equations of Creep and Damage in the Energy Form for Describing the Technical Process of Deformation of Modern Structural Materials,” in Modern Metal Materials and Technologies (MMM’2013): Proc. 10th Int. Scientific-Tech. Conf., St. Petersburg, June 25–29, 2013 (St. Petersburg State Polytechnic University, St. Petersburg, 2013), pp. 5–11.

    Google Scholar 

  29. A. Yu. Larichkin and B. V. Gorev, “Method of Determining the Parameters of Creep Equations to Calculate Pure Torsion of Round Bars from Experiments on Tension and Compression,” in Safety and Survivability of Technical Systems, Proc. 4th All-Russia. Conf., October 9–13, 2012 (Nauka Special Design and Technological Bureau, Kransnoyarsk, 2012), Vol. 1, pp. 154–159.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to B. V. Gorev.

Additional information

Original Russian Text © B.V. Gorev, I.V. Lyubashevskaya, V.A. Panamarev, S.V. Iyavoynen.

__________

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 55, No. 6, pp. 132–144, November–December, 2014.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gorev, B.V., Lyubashevskaya, I.V., Panamarev, V.A. et al. Description of creep and fracture of modern construction materials using kinetic equations in energy form. J Appl Mech Tech Phy 55, 1020–1030 (2014). https://doi.org/10.1134/S0021894414060145

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021894414060145

Keywords

Navigation