Calculation of non-stationary creep deformations of nonlinear viscoelastic materials under the conditions of loading and unloading using the Heaviside function

Authors

  • Yaroslav Pavlyuk S.P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv

DOI:

https://doi.org/10.17721/1812-5409.2024/1.14

Keywords:

non-stationary creep, Heaviside function, heredity kernel, nonlinear viscoelasticity

Abstract

The problem of calculating non-stationary creep deformations of nonlinear viscoelastic materials under the conditions of loading and unloading is considered. The loading program is is realized in the form of alternation of elementary loadings and unloadings while varying the amount of loading and the duration of its action, which are specified with the help of Heaviside's unit functions. A nonlinear creep model with time-independent nonlinearity of the Rabotnov model is used to describe the deformation process. The kernels of heredity are given by Rabotnov's fractional-exponential function. The problem of calculation of non-stationary creep deformations for polyvinyl chloride plastic under the conditions of repeated loading.

Pages of the article in the issue: 74 - 77

Language of the article: Ukrainian

References

Golub, V.P., Pavlyuk, Y.V. & Fernati, P.V. (2017). Determining Parameters of Fractional–Exponential Heredity Kernels of Nonlinear Viscoelastic Materials. International Applied Mechanics, Vol. 53, P.419–433. https://doi.org/10.1007/s10778-017-0826-2

Samarin Y.P., Sorokin O.V. (1970). On the creep of polyvinyl chloride plastic compound under variable loads. DAN USSR, T. 195, No. 2, P.333-336.

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Published

2024-09-12

How to Cite

Pavlyuk, Y. (2024). Calculation of non-stationary creep deformations of nonlinear viscoelastic materials under the conditions of loading and unloading using the Heaviside function. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, 78(1), 74–77. https://doi.org/10.17721/1812-5409.2024/1.14

Issue

Vol. 78 No. 1 (2024)

Section

Differential equations, mathematical physics and mechanics

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Copyright (c) 2024 Yaroslav Pavlyuk

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