Abstract
It is known that certain polymeric materials, such as polymeric solutions and melts, flow like fluids while they strongly exhibit recovery usually associated with viscoelastic solids. Moreover, the behavior of these materials is highly influenced by their flow and temperature history. Some available experimental observations [see, e.g., Ferry (1)] indicate that the temperature dependence of these viscoelastic fluids may be described adequately by incorporating the notion of “temperature-time equivalence” in their constitutive relations. The “temperature-time equivalence” has been utilized previously in a thermodynamic study of a class of viscoelastic solids (2) and include as a special case results appropriate for “thermo-rheologically simple” solids (3)1).
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References
Ferry, J. D., Viscoelastic Properties of Polymers (2nd ed., London-New York 1970).
Crochet, M. J. and P. M. Naghdi, Int. J. Eng. Sci. 7, 1173 (1969).
Crochet, M. J. and P. M. Naghdi, Proc. IUTAM Symp. on Thermoinelasticity (East Kilbride, Scotland, 1968), p. 59 (Berlin-Heidelberg-New York 1970).
Crochet, M. J. and P. M. Naghdi, Int. J. Eng. Sci. 10 (1972, to appear).
Coleman, B. D., Arch. Rational Mech. Anal. 17, 1 (1964).
Tmesdell, C. and W. Noll, The Non-Linear Field Theories of Mechanics, Handbuch der Physik, Vol. III/3. Edited by S. Flügge (Berlin-Heidelberg-New York 1965).
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© 1975 Springer-Verlag Berlin Heidelberg
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Crochet, M.J., Naghdi, P.M. (1975). On thermal effects in a special class of viscoelastic fluids. In: Vallet, G., Meskat, W. (eds) Rheological Theories · Measuring Techniques in Rheology Test Methods in Rheology · Fractures Rheological Properties of Materials · Rheo-Optics · Biorheology. Steinkopff, Heidelberg. https://doi.org/10.1007/978-3-662-41458-3_40
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DOI: https://doi.org/10.1007/978-3-662-41458-3_40
Publisher Name: Steinkopff, Heidelberg
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