New effective moduli of isotropic viscoelastic composites. Part II. Comparison of approximate calculation with the analytical solution

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Abstract

A new approximate algorithm for calculating a stress-strain state of viscoelastic bodies is used. The algorithm is based on the derivation of the expressions of time-effective modules. These modules are obtained by iterative changes, compressing the fork of Voigt-Reuss. As an example the analytic solution about the action of a concentrated force on the viscoelastic half-space is compared with the approximate solution. Numerical calculations are performed for a wide range of relaxation characteristics of a viscoelastic half-space. Results of the comparison of stresses and displacements with the analytic solution give coincidence within 3... 15%.

Original languageEnglish
Article number012100
JournalIOP Conference Series: Materials Science and Engineering
Volume124
Issue number1
DOIs
Publication statusPublished - 2 Jun 2016
EventInternational Conference on Mechanical Engineering, Automation and Control Systems 2015, MEACS 2015 - Tomsk, Russian Federation
Duration: 1 Dec 20154 Dec 2015

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Composite materials

ASJC Scopus subject areas

  • Materials Science(all)
  • Engineering(all)

Cite this

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title = "New effective moduli of isotropic viscoelastic composites. Part II. Comparison of approximate calculation with the analytical solution",
abstract = "A new approximate algorithm for calculating a stress-strain state of viscoelastic bodies is used. The algorithm is based on the derivation of the expressions of time-effective modules. These modules are obtained by iterative changes, compressing the fork of Voigt-Reuss. As an example the analytic solution about the action of a concentrated force on the viscoelastic half-space is compared with the approximate solution. Numerical calculations are performed for a wide range of relaxation characteristics of a viscoelastic half-space. Results of the comparison of stresses and displacements with the analytic solution give coincidence within 3... 15{\%}.",
author = "Kupriyanov, {N. A.} and Simankin, {F. A.} and Manabaev, {K. K.}",
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T1 - New effective moduli of isotropic viscoelastic composites. Part II. Comparison of approximate calculation with the analytical solution

AU - Kupriyanov, N. A.

AU - Simankin, F. A.

AU - Manabaev, K. K.

PY - 2016/6/2

Y1 - 2016/6/2

N2 - A new approximate algorithm for calculating a stress-strain state of viscoelastic bodies is used. The algorithm is based on the derivation of the expressions of time-effective modules. These modules are obtained by iterative changes, compressing the fork of Voigt-Reuss. As an example the analytic solution about the action of a concentrated force on the viscoelastic half-space is compared with the approximate solution. Numerical calculations are performed for a wide range of relaxation characteristics of a viscoelastic half-space. Results of the comparison of stresses and displacements with the analytic solution give coincidence within 3... 15%.

AB - A new approximate algorithm for calculating a stress-strain state of viscoelastic bodies is used. The algorithm is based on the derivation of the expressions of time-effective modules. These modules are obtained by iterative changes, compressing the fork of Voigt-Reuss. As an example the analytic solution about the action of a concentrated force on the viscoelastic half-space is compared with the approximate solution. Numerical calculations are performed for a wide range of relaxation characteristics of a viscoelastic half-space. Results of the comparison of stresses and displacements with the analytic solution give coincidence within 3... 15%.

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JF - IOP Conference Series: Materials Science and Engineering

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