Modeling the Bauschinger effect in orthotropic materials with isotropic-kinematic hardening under isothermal and nonisothermal loadings

Authors

  • V. N. Bastun S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kiev
  • I.Yu. Podil’chuk S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kiev

DOI:

https://doi.org/10.15407/dopovidi2016.07.039

Keywords:

Bauschinger effect, anisotropic materials, isotropic-kinematic hardening, isothermal and nonisothermal loadings

Abstract

The model of the Bauschinger effect in the general case of a combined stress state in materials with strain anisotropy, whose hardening is described by the isotropic-kinematic hypothesis, is considered. The model uses the loading surface concept and a graphical-analytical method, which establishes the stress-strain relations under combined loading. As an example, the Bauschinger effect measure is determined numerically in an orthotropic material with variable anisotropy parameters under uniaxial isothermal loading along the anisotropy axes. It is shown that this measure increases with the isotropic hardening fraction.

Downloads

Download data is not yet available.

References

Gibson M. C., Hameed A., Parker A. P., Hetherington J. G. J. Pressure Vessel Technol., 2006, 128 No 3: 217–222.

Bate P. S., Wilson D. V. Acta Metallurgica, 1986, 34, No 6: 1097–1105.

Silva F. S. Int. J. of Fatigue, 2007, 29: 1757–1771.

Buciumeanu M., Palaghian L., Miranda A. A., Silva F. S. Int. J. of Fatigue, 2011, 33, No 2: 145–152.

Ma Q., Levy C., Peri M. J. Pressure Vessel Technol., 2012, 134, No 2: 142–149.

Fridman Ya. B. Mechanical properties of metals, Moscow: Mashinostroenie, 1974, Part 2 (in Russian).

Talypov G. B. Plasticity and strength of steel under combined loading, Leningrad: Izd. Leningr. univ., 1968 (in Russian).

Bastun V. N. Strength of materials, 2012, 44, No 1: 1–7 (in Russian).

Bastun V. N. Dopov. NAN of Ukraine, 2013, No 10: 54–63 (in Russian).

Bastun V. N. Zavod. laboratoriya, 1976, No 6: 723–724 (in Russian).

Bastun V. N., Shkaraputa L. M. Strength of materials, 1987, 19 No 6: 785–790 (in Russian).

Bastun V. N., Kaminsky A. A. Int. Appl. Mech., 2005, 41, No 10: 1092–1129.

Il’yushin A. A. Plasticity. General mathematic theory, Moscow: Izd. AN SSSR, 1963 (in Russian).

Ziegler H. A. Quart. Appl. Math., 1959, No 17: 55–65.

Umanskii Ya. S., Finkel’shtein B. N., Blanter M. E. a. o. Physical material science, Moscow: Metallurgizdat, 1955 (in Russian).

Published

13.11.2024

How to Cite

Bastun, V. N., & Podil’chuk, I. (2024). Modeling the Bauschinger effect in orthotropic materials with isotropic-kinematic hardening under isothermal and nonisothermal loadings. Reports of the National Academy of Sciences of Ukraine, (7), 39–48. https://doi.org/10.15407/dopovidi2016.07.039