To the problem of influence of the third invariant of stress deviator on the process of longterm deformation of nonlinear viscoelastic materials

Authors

  • A. V. Romanov National Academy of Sciences of Ukraine S.P. Timoshenko Institute of Mechanics, 03057, Kyiv-57, P. Nesterov str., 3
  • P. V. Fernati National Academy of Sciences of Ukraine S.P. Timoshenko Institute of Mechanics, 03057, Kyiv-57, P. Nesterov str., 3

DOI:

https://doi.org/10.17721/1812-5409.2019/1.43

Abstract

The problem on the influence of stressed state on the process of long-term deformation of nonlinear viscoelastic materials under the simple and quasi-simple modes of loading by introduction of the function with the parameter of Lode angle into the defining equations is considered. The mentioned function is determined by analysis of base experimental data obtained from the base experiments on axial tension and pure torsion. Physical and mechanical properties of nonlinear viscoelastic solids are defined by the correspondence between the invariants of deformation tensors and tensions according to the modified nonlinear Rabotnov’s model for viscoelasticity. The heredity kernels are given by the fractional-exponential function. The constructed defining equations are verified experimentally for the problems of determination of nonlinear creep deformations under combined loading applied to the thin-walled tubular elements made of polyethylene of high density and low pressure polyethylene. As a result of juxtaposition of experimental data and calculations it is a stated that allowing for the type of stressed state improves their agreement qualitatively and quantitatively.

Key words: nonlinear viscoelastic materials, tension with torsion, creep strains, Lode angle.

Pages of the article in the issue: 186-189

Language of the article: Ukrainian

References

DEVIS E. (1948) Tekuchest i razrushenie stali so srednim soderzhaniem ugleroda pri slozhnom napryazhennom sostoyanii Teoriya plastichnosti Moskva: Izd. Inostr. Lit. p. 364-374.

ZHUKOV A. M. (1955) Slozhnoe nagruzhenie i teoriya plastichnosti izotropnyih metallov in Izv. AN SSSR, Otd. tehn. nauk. № 8.

BAEV L.V., MALININ N.I. (1966) Issledovanie polzuchesti organicheskogo stekla (polimetilmetakrilata) pri sovmestnom deystvii rastyazheniya s krucheniem Mehanika polimerov. № 5. – p. 671-677.

VASKOV B. S. (1967) Nekotoryie voprosyi polzuchesti polietilenovyih trub. Prochnost materialov i konstruktsiy. Trudyi LPI. № 278. – L: Mashinostroenie,. – p. 13-19.

KREGERS A.F., KILEVICH M.R. (1985) Kompleksnoe issledovanie polietilena vyisokoy plotnosti v usloviyah nelineynoy polzuchesti i relaksatsii napryazheniy. Mehanika kompozitnyih materialov, №2. – pp. 195-201.

NAMESTNIKOV V.S. (1957) O polzuchesti pri postoyannyih nagruzkah v usloviyah slozhnogo napryazhennogo sostoyaniya. Izv. AN SSSR. Otd. tehn. Nauk №4. – pp. 141-145.

MALININ N.N. (1975) Prikladnaya teoriya plastichnosti i polzuchesti. Moskva: Mashinostroenie.

GOLUB V. P., KOBZAR Yu. M., FERNATI P. V. (2005) Nelineynaya polzuchest vyazkouprugih organicheskih volokon pri rastyazhenii Prikl. mehanika.-Tom 41, №7

RABOTNOV Yu.N. (1966) Polzuchest elementov konstruktsiy. Moskva: Nauka.

No 1 (2019)

Downloads

How to Cite

Romanov, A. V., & Fernati, P. V. (2019). To the problem of influence of the third invariant of stress deviator on the process of longterm deformation of nonlinear viscoelastic materials. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (1), 186–189. https://doi.org/10.17721/1812-5409.2019/1.43

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).