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.
Keywords
- Maxwell Model
- Relaxation Modulus
- Linear Viscoelastic Behavior
- Generalize Maxwell Model
- Equilibrium Modulus
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There are many good books on linear viscoelastic behavior. You find them listed under electric circuit theory.
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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).
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© 1989 Springer-Verlag Berlin Heidelberg
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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
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DOI: https://doi.org/10.1007/978-3-642-73602-5_3
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