Abstract:
Applicability indicators of the linear viscoelasticity constitutive equation for isotropic materials with an arbitrary shear and bulk creep compliances are considered. General properties of the creep curves for volumetric, longitudinal and lateral strains generated by the linear equation under constant tensile load and constant hydrostatic pressure are studied analytically. It is proved that the linear theory is able to describe the effect of expansion of a material linear behavior range with hydrostatic pressure growth. The analysis revealed a number of specific features of the theoretic creep and compliance curves that can be employed as the applicability or non-applicability indicators of the linear viscoelasticity theory and are convenient to check using data of a material creep tests under various levels of pressure and tensile stress.
Key words:
axial and volumetric creep, lateral strain, pressure influence, mean stress effect, axial compliance, linear range boundaries, indicators of non-linearity, identification, negative Poisson's ratio.
Citation:
A. V. Khokhlov, “On the capability of linear viscoelasticity theory to describe the effect of extending region of material linearity as the hydrostatic pressure grows”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 1, 39–46; Moscow University Mechanics Bulletin, 76:1 (2021), 7–14
\Bibitem{Kho21}
\by A.~V.~Khokhlov
\paper On the capability of linear viscoelasticity theory to describe the effect of extending region of material linearity as the hydrostatic pressure grows
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2021
\issue 1
\pages 39--46
\mathnet{http://mi.mathnet.ru/vmumm4377}
\zmath{https://zbmath.org/?q=an:1475.74018}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2021
\vol 76
\issue 1
\pages 7--14
\crossref{https://doi.org/10.3103/S0027133021010040}
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https://www.mathnet.ru/eng/vmumm4377
https://www.mathnet.ru/eng/vmumm/y2021/i1/p39
This publication is cited in the following 2 articles:
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