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Stress Analysis for Linear Viscoelastic Materials with Temperature Variation

Stress Analysis for Linear Viscoelastic Materials with Temperature Variation IV, 2:;:\-263 (1960) Stress Analysis for Linear Viscoelastic Materials with Temperature Variation * L. W. ~IOl{LA:\D and E. H. LEE, Bruwn Cniversity, Providence, Rhode Island 1. Introduction The equilibrium problem of stress analysis in linear viscoelastic materials under homogeneous temperature conditions is now well developed. and a review is presented in Section 2. This paper is an attempt to extend this treatment to linear viscoelastic bodies under nonhomogeneous temperature fields, such as that resulting from the solution of the normal heat conduction problem in the absence of thermodynamic coupling. The analysis is particularized to a class of materials called "thermorheologically simple" which exhibit for constant change of temperature, a pure shift in the creep Iuuctiou. relaxation modulus, and other characteristic functions of the material, when plotted against the logarithm of time. For materials of this type, and a given temperature field, a "reduced" or "pseudo" time cun be defined for the system, in general a function of hoth time and space variables. for which the viscoelastic law is the same us for constant temperature in terms of real time. lnfortuuutelv the equilibrium and compatibility conditions are ehnuged in form, and the usual character of the elasticity equations j:-lost. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Rheology The Society of Rheology

Stress Analysis for Linear Viscoelastic Materials with Temperature Variation

Morland, L. W.; Lee, E. H.
Journal of Rheology , Volume 4 (1) – Mar 1, 1960
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Publisher
The Society of Rheology
Copyright
Copyright © 1960 The Society of Rheology
ISSN
0148-6055
eISSN
1520-8516
DOI
10.1122/1.548856
Publisher site
See Article on Publisher Site

Abstract

IV, 2:;:\-263 (1960) Stress Analysis for Linear Viscoelastic Materials with Temperature Variation * L. W. ~IOl{LA:\D and E. H. LEE, Bruwn Cniversity, Providence, Rhode Island 1. Introduction The equilibrium problem of stress analysis in linear viscoelastic materials under homogeneous temperature conditions is now well developed. and a review is presented in Section 2. This paper is an attempt to extend this treatment to linear viscoelastic bodies under nonhomogeneous temperature fields, such as that resulting from the solution of the normal heat conduction problem in the absence of thermodynamic coupling. The analysis is particularized to a class of materials called "thermorheologically simple" which exhibit for constant change of temperature, a pure shift in the creep Iuuctiou. relaxation modulus, and other characteristic functions of the material, when plotted against the logarithm of time. For materials of this type, and a given temperature field, a "reduced" or "pseudo" time cun be defined for the system, in general a function of hoth time and space variables. for which the viscoelastic law is the same us for constant temperature in terms of real time. lnfortuuutelv the equilibrium and compatibility conditions are ehnuged in form, and the usual character of the elasticity equations j:-lost.

Journal

Journal of Rheology – The Society of Rheology

Published: Mar 1, 1960

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