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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
S. Arthananari, C.W. Yu, Creep of concrete under uniaxial and biaxial stresses at elevated temperatures. Mag. Concr. Res. 19(60), 149–156 (1967)
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)
E.J. Barbero, Prediction of long-term creep of composites from doubly-shifted polymer creep data. J. Compos. Mater. 43(19), 2109–2124 (2009)
Z.P. Bazant, M.F. Kaplan, Concrete at High Temperatures: Material Properties and Mathematical Models (Longman Group Limited, Longman House, Burnt Mill, Harlow, 1996)
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)
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)
H.F. Brinson, L.C. Brinson, Polymer Engineering Science and viscoelasticity: An Introduction (Springer, New York, 2008)
W. Callister Jr, Materials Science and Engineering: An Introduction (Wiley, New York, 2003)
J.D. Ferry, Viscoelastic Properties of Polymers, 3rd edn. (Wiley, New York, 1980)
W.N. Findley, J.S. Lai, K. Onaran, Creep and Relaxation of Nonlinear Viscoelastic Materials (Dover Publications Inc., New York, 1989)
E.T.J. Klompen, L.E. Govaert, Nonlinear viscoelastic behaviour of thermorheologically complex materials. Mech. Time Depend. Mater. 3, 49–69 (1999)
R.S. Lakes, Viscoelastic Solids (CRC Press LLC, Boca Raton, 1999)
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)
L.W. Morland, E.H. Lee, Stress analysis for linear viscoelastic materials with temperature variation. Trans. Soc. Rheol. 4, 223 (1960)
R. Muki, E. Sternberg, On transient thermal stresses in viscoelastic materials with temperature-dependent properties. J. Appl. Mech. 28, 193–207 (1961)
D.J. Plazek, Temperature dependence of the viscoelastic behavior of polysterene. J. Phys. Chem. 69, 3480–3487 (1965)
D.J. Plazek, Oh, thermorheologically simplicity, wherefore art thou? J. Rheol. 40, 987–1014 (1996)
F. Schwarzl, A.J. Starveman, Time-temperature dependent of linear viscoelastic behavior. J. Appl. Phys. 23, 838–843 (1952)
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)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 The Authors
About this chapter
Cite this chapter
Marques, S.P.C., Creus, G.J. (2012). Temperature Effect. In: Computational Viscoelasticity. SpringerBriefs in Applied Sciences and Technology(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25311-9_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-25311-9_6
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25310-2
Online ISBN: 978-3-642-25311-9
eBook Packages: EngineeringEngineering (R0)