Abstract
Chapters 2 to 10 discussed linear viscoelastic behavior in terms of behavior in shear (cf. Sect. 2.1). We now enlarge our discussion to cover linear viscoelastic behavior in modes of deformation other than shear. To do this, we need to establish the viscoelastic analogs of the stress-strain relations of a general anisotropic purely elastic linear material (see Sect. 1.4). This is the subject of the first section of this chapter. In the next section we specialize these relations for a linear viscoelastic isotropic material. In Sect. 11.3, then, we discuss the behavior of such a material in different modes of deformation. Finally, in Sect. 11.4 we deal with the problem of interconverting the various response functions which characterize the behavior of an isotropic linear viscoelastic material in the modes of deformation we considered in Sect. 11.3.
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References
H. Kolsky, Stress Waves in Solids, Clarendon Press, Oxford, (1953); Dover Publications, New York (1963).
R.W. Whorlow, Rheological Techniques, Halstead Press, New York (1980).
H.J. Skimmin, Ultrasonic Methods for Measuring the Mechanical Properties of Liquids and Solids, in: W.P. Mason, ed., Physical Acoustic, Principles and Methods, Vol. 1, Pt. A, Academic Press, New York (1964).
T.L. Smith, Trans. Soc. Rheol., 6, 61 (1962).
H.A. Waterman, Rheol. Acta, 16, 31 (1977).
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© 1989 Springer-Verlag Berlin Heidelberg
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Tschoegl, N.W. (1989). Linear Viscoelastic Behavior in Different Modes of Deformation. In: The Phenomenological Theory of Linear Viscoelastic Behavior. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73602-5_11
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DOI: https://doi.org/10.1007/978-3-642-73602-5_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-73604-9
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