Impact problem for the quasi-linear viscoelastic standard solid model

Ivan Argatov; N. S. Selyutina; Gennady Mishuris

doi:10.1177/0309324715610027

Impact problem for the quasi-linear viscoelastic standard solid model

Ivan Argatov, N. S. Selyutina, Gennady Mishuris

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Abstract

The one-dimensional impact problem in the case of Fung’s quasi-linear viscoelastic model is studied for the relaxation function of the standard solid model (or Zener model). Additionally, quasi-linear viscoelastic Maxwell and Kelvin–Voigt models are recovered as limit cases. The results of numerical simulations for some illustrative values of the dimensionless problem parameters are presented. The obtained results can be of interest for biomedical testing

Original language	English
Pages (from-to)	294-303
Number of pages	10
Journal	Journal of Strain Analysis for Engineering Design
Volume	51
Issue number	4
Early online date	30 Oct 2015
DOIs	https://doi.org/10.1177/0309324715610027
Publication status	Published - 01 May 2016

Keywords

impact
quasi-linear viscoelastic
coefficient of restitution

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Impact problem for the quasi-linear viscoelastic standard solid modelAccepted author manuscript, 1.24 MB

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title = "Impact problem for the quasi-linear viscoelastic standard solid model",

abstract = "The one-dimensional impact problem in the case of Fung{\textquoteright}s quasi-linear viscoelastic model is studied for the relaxation function of the standard solid model (or Zener model). Additionally, quasi-linear viscoelastic Maxwell and Kelvin–Voigt models are recovered as limit cases. The results of numerical simulations for some illustrative values of the dimensionless problem parameters are presented. The obtained results can be of interest for biomedical testing",

keywords = "impact, quasi-linear viscoelastic, coefficient of restitution",

author = "Ivan Argatov and Selyutina, {N. S.} and Gennady Mishuris",

note = "This is the author accepted manuscript. The final version is available from SAGE Publications via http://dx.doi.org/10.1177/0309324715610027",

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T1 - Impact problem for the quasi-linear viscoelastic standard solid model

AU - Argatov, Ivan

AU - Selyutina, N. S.

AU - Mishuris, Gennady

N1 - This is the author accepted manuscript. The final version is available from SAGE Publications via http://dx.doi.org/10.1177/0309324715610027

PY - 2016/5/1

Y1 - 2016/5/1

N2 - The one-dimensional impact problem in the case of Fung’s quasi-linear viscoelastic model is studied for the relaxation function of the standard solid model (or Zener model). Additionally, quasi-linear viscoelastic Maxwell and Kelvin–Voigt models are recovered as limit cases. The results of numerical simulations for some illustrative values of the dimensionless problem parameters are presented. The obtained results can be of interest for biomedical testing

AB - The one-dimensional impact problem in the case of Fung’s quasi-linear viscoelastic model is studied for the relaxation function of the standard solid model (or Zener model). Additionally, quasi-linear viscoelastic Maxwell and Kelvin–Voigt models are recovered as limit cases. The results of numerical simulations for some illustrative values of the dimensionless problem parameters are presented. The obtained results can be of interest for biomedical testing

KW - impact

KW - quasi-linear viscoelastic

KW - coefficient of restitution

UR - http://hdl.handle.net/2160/44640

U2 - 10.1177/0309324715610027

DO - 10.1177/0309324715610027

M3 - Article

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VL - 51

SP - 294

EP - 303

JO - Journal of Strain Analysis for Engineering Design

JF - Journal of Strain Analysis for Engineering Design

IS - 4

ER -

Impact problem for the quasi-linear viscoelastic standard solid model

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