On some method of the heredity kernel parameters determination of nonlinear viscoelastic materials under the complex stress state

Authors

  • V. S. Reznik S.P. Timoshenko Institute of Mechanics, 252680, Nesterov str, 3, Kiev

DOI:

https://doi.org/10.17721/1812-5409.2019/1.41

Abstract

The deformation of viscoelastic medium given by means of constitutive equations of the hereditary type. These equations establish the relationship between the components of strain tensor, the components of stress tensor and the integral time operator, and contain the set of function and coefficients that are determined from the basic experiments. ? method of the heredity kernel parameters determination of nonlinear viscoelastic materials is developed. As the visco-elastic model, the constitutive equations of the hereditary type are chosen in which the relationship between the components of the strain tensor and the stress tensor is given based on the hypothesis of the deviators proportionality. The nonlinearity of the viscoelastic properties is given by the equations of Ratotnov’s type. The method is based on the relations between the creep kernels under complex stress state and the creep kernels under one-dimensional stress state. The method verified experimentally for the problems of determination of creep deformations under combined loading applied to the thin-walled tubular elements made of polyethylene of high density.

Key words: nonlinear visco-elasticity, complex stressed state, longitudinal creep, shearing creep, volume creep.

Pages of the article in the issue: 178-181

Language of the article: Ukrainian

References

RABOTNOV, U. N. (1966) Polzuchest` elementov konstrukcii. Moskva: Nauka.

KRISTENSEN, R.M. (1974). Vvedenie v teoriu vyazkouprugosti. Moskva: Mir.

GOLUB, V.P., KOBZAR, U.M. & RAGULINA, V.S. (2013) K zadache opredeleniya parametrov yader nasledstvennosri izotropnih nelineynovyazkouprugih materialov pri slognom napryagennom sostoyanii. Teoret. i prikl. mehanika. 5(51). pp. 26-35.

GOLUB, V.P., KOBZAR, U.M. & FERNATI, P.V. (2014) K resheniu zadach polzuchesti izotropnih nelineyno-vyazkouprugih materialov pri slognom napryagennom sostoyanii. Teoret. i prikl. mehanika. 5(51). pp. 26-35.

No 1 (2019)

Downloads

How to Cite

Reznik, V. S. (2019). On some method of the heredity kernel parameters determination of nonlinear viscoelastic materials under the complex stress state. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, (1), 178–181. https://doi.org/10.17721/1812-5409.2019/1.41

Issue

No. 1 (2019)

Section

Differential equations, mathematical physics and mechanics

License

Authors who publish with this journal agree to the following terms:

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).