Abstract
As pointed out in the introduction to Chap. 4, all linear viscoelastic functions contain essentially the same information on the time dependent behavior of the material which they describe if they are known over the entire domain of their definition, i.e. over the complete range from zero to infinity of the time, t, frequency, ω, respondance time, τ, or transform variable, s. Thus, all linear viscoelastic response functions are, in principle, equivalent.
Plus ça change, plus c’est la même chose
Alphonse Karr
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
I.L. Hopkins and R.W. Hamming, (a) J. Appi. Phys. 28:906 (1957); (b) J. Appi. Phys. 29:742 (1958).
G.W. Becker, Kolloid-Z., 166:4 (1959).
E.F. Denby, Rheol. Acta, 14:591 (1975).
J.D. Ferry, Viscoelastic Properties of Polymers, 3rd ed., Wiley, New York, 1980, p. 63.
T.L. Smith, Trans. Soc. Rheol., 2:131 (1958).
I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, New York, 1980, p. 292.
F.R. Schwarzl and L.C.E. Struik, Adv. Mol. Relaxation Processes 1:201 (1967).
R.S. Marvin, Phys. Rev. 86:644 (1952).
E. Catsiff and A.V. Tobolsky, J. Colloid. Sci., 10:375 (1955).
K. Ninomiya and J.D. Ferry, J. Colloid Sci., 14:36 (1959).
K. Yagii and E. Maekawa, Nippon Gomu Kyokaishi, 40:46 (1967).
F. Schwarzl, Rheol. Acta, (a) 14:581 (1975); (b) 9:382 (1970); (c) 10:166 (1971); (d) 8:6 (1969).
J. Koppelmann, Rheol. Acta, 1:20 (1958).
E. Riande and H. Markovitz, J. Polymer Sci., Polymer Phys. Ed., 13:947 (1975).
DJ. Plazek, N. Ragupathi, and S.J. Orbon, J. Rheol., 23:477 (1979).
R.M. Christensen, Theory of Viscoelasticity, 2nd ed., Academic Press, New York, 1982, Section 4.6.
R. de L. Kronig, J. Opt. Soc. Amer., 12:547 (1926).
H.A. Kramers, Atti Cong. Intern, dei Fisici, Como, 1927, p. 545.
H.C. Booij and G.P.J.M. Thoone, Rheol. Acta, 21:15 (1982).
A. Brather, Colloid & Polymer Sci., 257:467 (1978).
A. Brather, Rheol. Acta, 17:325 (1978).
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Tschoegl, N.W. (1989). Interconversion of the Linear Viscoelastic Functions. In: The Phenomenological Theory of Linear Viscoelastic Behavior. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73602-5_8
Download citation
DOI: https://doi.org/10.1007/978-3-642-73602-5_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-73604-9
Online ISBN: 978-3-642-73602-5
eBook Packages: Springer Book Archive