Towards the analysis of stress relaxation in thin-walled cylindrical shells made of linear viscoelastic materials

Authors

  • V. P. Golub S.P. Timoshenko Institute of Mechanics NAS Ukraine, 03057, Kyiv, 3 Nesterov Str.

DOI:

https://doi.org/10.17721/1812-5409.2021/4.3

Keywords:

stress relaxation, thin-walled cylindrical shells, linear viscoelastic materials, biaxial loading

Abstract

The problems of stress relaxation analysis in thin-walled cylindrical shells made of linear viscoelastic materials under uniaxial and biaxial loading have been solved. The analysis is based on a there-dimensional model of viscoelasticity starting from the hypothesis of the deviators proportionality. The viscoelastic properties of a material are given with relationships that establish the dependence between stress and strain intensities as well as between the mean stress and volumetric strain by the Bolzmann-Volterra type equation. The kernels of relaxation intensity and volumetric relaxation are given with the Rabotnov exponential-fractional functions. The parameters of relaxation kernels are determined from creep test result using the relationships between creep kernels under the complex stress state and creep kernels under the one- dimensional stress state. The problems of the analysis of normal and tangential stresses relaxation in thin-walled cylindrical shells made of high density polyethylene “PJeVP” under uniaxial tension, pure torsion and combined tension with torsion loading have been solved and experimentally approved.

Pages of the article in the issue: 29 - 34

Language of the article: Ukrainian

References

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GOLUB, V.P., MASLOV, B.P., FERNATI, P.V. (2016) Identifikacija jader nasledstvennosti izotropnyh linejno-vjazkouprugih materialov pri slozhnom naprjazhennom sostojanii. 2. Sluchaj proporcional’nosti deviatorov, Prikl. mehanika, 52(6). рр. 111-125.

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No 4 (2021)

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Published

2021-12-21

How to Cite

Golub, V. P. (2021). Towards the analysis of stress relaxation in thin-walled cylindrical shells made of linear viscoelastic materials. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (4), 29–34. https://doi.org/10.17721/1812-5409.2021/4.3

Issue

No. 4 (2021)

Section

Differential equations, mathematical physics and mechanics

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