Justification of application of nonlinear viscoelasticity model of Rabotnov's model type in creep problems
Тип публікації :
Стаття
Дата випуску :
2021
Автор(и) :
Резнік, В. С.
Мова основного тексту :
Англійська
eKNUTSHIR URL :
Випуск :
3
ISSN :
1812-5409
Початкова сторінка :
111
Кінцева сторінка :
114
Цитування :
[APA 7] Резнік, В. С. (2021). Justification of application of nonlinear viscoelasticity model of Rabotnov's model type in creep problems. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, (3), 111–114. https://doi.org/10.17721/1812-5409.2021/3.21
[ДСТУ] Резнік В. С. Justification of application of nonlinear viscoelasticity model of Rabotnov's model type in creep problems. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics. 2021. no. 3. P. 111—114. DOI: 10.17721/1812-5409.2021/3.21 (date of access: 25.07.2026).
The relationship between the components of the strain tensor, stress tensor and time is given by the defining equations of the hereditary type, which are written based on the hypothesis of proportionality of the deviators. Thin-walled tubular low-pressure polyethylene elements are considered as the object of research. The scope of the model is substantiated based on the hypothesis of the existence of a single diagram of instantaneous deformation and a single diagram of long-term deformation. The invariance of the tensile and torsion diagrams with respect to the stress state is checked. The region of nonlinear elastic deformation is determined. The defining equations of the model contain a set of functions and coefficients determined from the basic experiments. A method for determining the parameters of heredity kernels of nonlinear viscoelastic materials under complex stress state has been developed. The nonlinearity of viscoelastic properties is given by equations of the Rabotnov's model type. The method is based on the relations between the creep kernels obtained under conditions of complex stress state and the creep kernels under one-dimensional stress state. The method is tested experimentally on the problems of calculating creep deformations under combined loading of thin-walled tubular elements made of low-pressure polyethylene.
Pages of the article in the issue: 111 - 114
Language of the article: Ukrainian
Pages of the article in the issue: 111 - 114
Language of the article: Ukrainian
Ключові слова :
nonlinear visco-elasticity complex stressed state longitudinal creep shearing creep volume creep diagrams of instant deformation diagrams of torsion heredity nuclei isochronous diagrams нелінійна в'язкопружність складний напружений стан діаграма миттєвого деформування діаграма кручення повздовжня повзучість зсувна повзучість об’ємна повзучість ядра спадковості ізохронні діаграми
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