Numerical method of determining creep model parameters within the first two stages of creep

Abstract

The article describes a new numerical method for determining the parameters of a creep model within the first two stages of creep. The numerical method is based on the transition from a nonlinear model of creep to a linear-parametric discrete model. The linear-parametric discrete model describes the sequence of experimental values of creep deformation. The formulas describing the relationship between the coefficients of the linear parametric discrete model and the parameters of the reference creep model are presented. We propose an iterative procedure of RMS estimation of the coefficients of the linear parametric discrete model. The developed numerical method was tested in the estimation of parameters of a creep model, and the validity of the relationships obtained was confirmed.

About the authors

V. E. Zoteev

Samara State Technical University

Author for correspondence.
Email: zoteev-ve@mail.ru

Doctor of Science (Engineering)

Russian Federation

R. Yu. Makarov

Samara State Technical University

Email: makaroman1@yandex.ru

post-graduate student

Russian Federation

References

  1. Zoteev V.E. Iteration procedure of RMS estimation of coefficients of a stochastic difference equation of turbulence-friction systems’ vibration. Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki. 2005. No. 38. P. 100-109. (In Russ.)
  2. Zoteev V.E. Iteration procedure of RMS estimation of the correlation function of distribution of the plastic rheological deformation random field. Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki. 2006. No. 42. P. 123-134. (In Russ.)
  3. Zoteev V.E. Mathematical Base for Difference Equations Formulation in Parametrical Identification Problems. Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki. 2008. No. 2 (17). P. 192-202. (In Russ.)
  4. Zoteev V.E. Parametricheskaya identifikatsiya dissipativnykh mekhanicheskikh sistem na osnove raznostnykh uravneniy [Parametric identification of dissipative mechanical systems on the basis of difference equations]. Moscow: Mashinostroenie Publ., 2009. 343 p.
  5. Zoteev V.E., Makarov R.Yu. A numerical method for the determination of parameters of the strain softening creep model. Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki. 2016. V. 20, no. 2. P. 328-341. (In Russ.). doi: 10.14498/vsgtu1488
  6. Katanakha N.A., Getsov L.B., Danyushevskii I.A., Semenov A.S. The resource for the bends of high-temperature steampipes. Nauchno-tekhnicheskie vedomosti Sankt-Peterburgskogo gosudarstvennogo politekhnicheskogo universiteta. 2013. No. 178. P. 82-94. (In Russ.)
  7. Katanakha N.A., Semenov A.S., Getsov L.B. Unified Model of Steady-State and Transient Creep and Identification of Its Parameters. Strength of Materials. 2013. V. 45, Iss. 4. P. 495-505. doi: 10.1007/s11223-013-9485-7
  8. Rabotnov Ju.N. Experimental data on creep of engineering alloys and phenomenological theories of creep. A review. Journal of Applied Mechanics and Technical Physics. 1965. V. 6, Iss. 1. P. 137-154. doi: 10.1007/BF00914390
  9. Radchenko V.P., Saushkin M.N. Polzuchest' i relaksatsiya ostatochnykh napryazheniy v uprochnennykh konstruktsiyakh [Creep and relaxation of residual stresses in strengthened structures]. Moscow: Mashinostroenie-1 Publ., 2005. 226 p.
  10. Radchenko V.P., Simonov A.V. Computerized system for constructing models of inelastic deformation of metals on the basis of methods of nonparametric data smoothing. Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki. 1999. No. 7. P. 51-62. (In Russ.)
  11. Chetyrkin E.M. Statisticheskie metody prognozirovaniya [Statistical methods of forecasting]. Moscow: Statistika Publ., 1977. 200 p.

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