Computational Viscoelasticity pp 51-58 | Cite as
Temperature Effect
Chapter
First Online:
Abstract
The viscoelastic constitutive relations presented so far were developed under the hypothesis of isothermal conditions. However, most viscoelastic materials, particularly polymers, have temperature dependent constitutive relations. The mechanisms responsible for these thermal effects have micro-structural origin and are, consequently, complex. In this chapter we present a brief description on temperature effects on the linear viscoelasticity behavior of polymers and concrete and a simplified formulation that is adequate for the so called thermo-rheologically simple materials.
Keywords
Shift Factor Molecular Transition Simple Material Creep Function Basic Creep
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
- 1.S. Arthananari, C.W. Yu, Creep of concrete under uniaxial and biaxial stresses at elevated temperatures. Mag. Concr. Res. 19(60), 149–156 (1967)CrossRefGoogle Scholar
- 2.O.R. Barani, D. Mostofinejaad, M.M. Saadatpour, M. Shekarchi, Concrete basic creep prediction based on time–temperature equivalence relation and short-term tests. Arab. J. Sci. Eng. 35(2B), 105–121 (2010)Google Scholar
- 3.E.J. Barbero, Prediction of long-term creep of composites from doubly-shifted polymer creep data. J. Compos. Mater. 43(19), 2109–2124 (2009)CrossRefGoogle Scholar
- 4.Z.P. Bazant, M.F. Kaplan, Concrete at High Temperatures: Material Properties and Mathematical Models (Longman Group Limited, Longman House, Burnt Mill, Harlow, 1996)Google Scholar
- 5.Z.P. Bažant, J.K. Kim, Improved prediction model for time-dependent deformations of concrete: part 2—basic creep. Mater. Struct. 24, 409–421 (1991)CrossRefGoogle Scholar
- 6.Z.P. Bažant, J.K. Kim, Improved prediction model for time-dependent deformations of concrete: part 4—temperature effects. Mater. Struct. 25, 84–94 (1992)CrossRefGoogle Scholar
- 7.H.F. Brinson, L.C. Brinson, Polymer Engineering Science and viscoelasticity: An Introduction (Springer, New York, 2008)CrossRefGoogle Scholar
- 8.W. Callister Jr, Materials Science and Engineering: An Introduction (Wiley, New York, 2003)Google Scholar
- 9.J.D. Ferry, Viscoelastic Properties of Polymers, 3rd edn. (Wiley, New York, 1980)Google Scholar
- 10.W.N. Findley, J.S. Lai, K. Onaran, Creep and Relaxation of Nonlinear Viscoelastic Materials (Dover Publications Inc., New York, 1989)Google Scholar
- 11.E.T.J. Klompen, L.E. Govaert, Nonlinear viscoelastic behaviour of thermorheologically complex materials. Mech. Time Depend. Mater. 3, 49–69 (1999)CrossRefGoogle Scholar
- 12.R.S. Lakes, Viscoelastic Solids (CRC Press LLC, Boca Raton, 1999)Google Scholar
- 13.J.C. Marechal, Creep of concrete as a function of temperature. In: International Seminar on Concrete for Nuclear Reactors, ACI Special Publication No. 34, vol. 1, American Concrete Institute, Detroit, 547–564 (1972)Google Scholar
- 14.L.W. Morland, E.H. Lee, Stress analysis for linear viscoelastic materials with temperature variation. Trans. Soc. Rheol. 4, 223 (1960)MathSciNetCrossRefGoogle Scholar
- 15.R. Muki, E. Sternberg, On transient thermal stresses in viscoelastic materials with temperature-dependent properties. J. Appl. Mech. 28, 193–207 (1961)MathSciNetMATHCrossRefGoogle Scholar
- 16.D.J. Plazek, Temperature dependence of the viscoelastic behavior of polysterene. J. Phys. Chem. 69, 3480–3487 (1965)CrossRefGoogle Scholar
- 17.D.J. Plazek, Oh, thermorheologically simplicity, wherefore art thou? J. Rheol. 40, 987–1014 (1996)CrossRefGoogle Scholar
- 18.F. Schwarzl, A.J. Starveman, Time-temperature dependent of linear viscoelastic behavior. J. Appl. Phys. 23, 838–843 (1952)MATHCrossRefGoogle Scholar
- 19.M.L. Williams, R.F. Landel, J.D. Ferry, The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids. Temp. Dependence Relax. Mech. 77, 3701–3707 (1955) (Contribution from the Department of Chemistry, University of Wisconsin)Google Scholar
Copyright information
© The Authors 2012