Abstract
In the preceding chapter we have treated the formal aspects of the impulse, step, slope, and harmonic responses but have said nothing about the actual form of the response. In this chapter and in Chap. 5 we will discuss the representation of viscoelastic behavior by mechanical, or, more precisely, rheological models.
There are many good books on linear viscoelastic behavior. You find them listed under electric circuit theory.
Attributed to H. Leaderman
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
Preview
Unable to display preview. Download preview PDF.
References
M.F. Gardner and J.L. Barnes, Transients in Linear Systems, Vol. I, John Wiley and Sons, New York, 1953.
G. Kirchhoff, Ann. Phys. Chem. (2) 72:497–574 (1847). English Transl. Trans. I.R.E. Vol. CT-5 (March): 4 (1958).
S. Goldman, Transformation Calculus and Electrical Transients, Constable and Co., London, 1949.
C. Truesdell and R.A. Toupin, The Classical Field Theories, in: S. Flügge, ed., Encyclopedia of Physics, Vol. III/l, p. 532, Springer, Berlin, 1960.
F.A. Firestone, American Institute of Physics Handbook, McGraw-Hill, New York, 1957.
H.F. Olsen, Dynamical Analogies, Van Nostrand, New York, 1945.
J.M. Burgers in: First Report on Viscosity and Plasticity, 2nd ed., p. 5, Noord-Hollandsche, Amsterdam, 1939.
T. Alfrey, Mechanical Behavior of High Polymers, Interscience, New York, 1948, p. 193.
B. Gross and R.M. Fuoss, J. Polymer Sci. 19:39 (1956).
R. Stambaugh, Ind. Eng. Chem. 44:1590 (1952).
J. Miles, J. Acoust. Soc. Amer. 14:183 (1943).
N.W. Tschoegl, Australian J. Phys., 14:307 (1961).
J.H. Poynting and J.J. Thomson, Properties of Matter, C. Griffin and Co., London, 1902.
N.W. Tschoegl, Kolloid-Z. 174:113 (1961).
O. Meyer, J. reine u. angew. Math. 78, 130 (1874).
W. Voigt, Ann. d. Phys. 47:671 (1892).
J.C. Maxwell, Phy. Trans. Roy. Soc. London A157:52 (1867): Papers 2:26–78, Dover, 1952.
T. Alfrey and P. Doty, J. Appl. Phys.16, 700 (1945).
J.J. Thomson, Applications of Dynamics to Physics and Chemistry, Chapter viii, MacMillan and Co., London, 1888.
E. Wiechert, Ann. d. Phys. u. Chem. 50:335 (1893).
W. Thomson (Lord Kelvin), “Elasticity” in Encyclopedia Britannica, 9th ed., Vol. VII, p. 803d, Charles Scribner’s, New York, 1878.
A.V. Tobolsky and K. Murakami, J. Polymer Sci., 40:443 (1959).
A.V. Tobolsky, Properties and Structure of Polymers, Wiley and Sons, New York, 1960, pp. 186–195.
R.A. Schapery, Proc. Fourth U.S. Nat. Congress Appl. Mech., 2:1075 (1962).
M.H. Gradowczyk and F. Moavenzadeh, Trans. Soc. Rheol. 13:173 (1969).
T.L. Cost and E.B. Becker, Intern. J. Num. Methods in Engg. 2:207 (1970).
I. Emri and N.W. Tschoegl, to be submitted to Rheol. Acta.
T. Alfrey, Quart. Appl. Math. 2:113 (1944).
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). Representation of Linear Viscoelastic Behavior by Series-Parallel Models. In: The Phenomenological Theory of Linear Viscoelastic Behavior. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73602-5_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-73602-5_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-73604-9
Online ISBN: 978-3-642-73602-5
eBook Packages: Springer Book Archive