Abstract
Thus far, we have described viscoelastic materials by their differential equations. We shall now learn to describe them by another means, the hereditary integrals. Each of them can express all the facts contained in the differential equation (1.23) and even has the advantage of greater flexibility when it comes to rendering the measured properties of an actual material.
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References
E.H. Lee: Viscoelasticity, in W. Flügge (ed.), Handbook of Engineering Mechanics (New York, McGraw-Hill, 1962), Chap. 53, pp. 8–9.
W.V. Lovitt: Linear Integral Equations ( New York, Dover Publications, 1950 ).
F.B. Hildebrand: Methods of Applied Mathematics (Englewood Cliffs, N.J., Prentice-Hall, 1952), Chap. 4.
M.A. Heaslet: Integral equations, in W. Flügge (ed.), Handbook of Engineering Mechanics, (New York, McGraw-Hill, 1962 ), Chap. 17.
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© 1975 Springer-Verlag Berlin Heidelberg
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Flügge, W. (1975). Hereditary Integrals. In: Viscoelasticity. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02276-4_3
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DOI: https://doi.org/10.1007/978-3-662-02276-4_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-02278-8
Online ISBN: 978-3-662-02276-4
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