Abstract
This chapter deals with fundamental definitions, constitutive equations of a viscoelastic medium subject to infinitesimal strain, and the nature and properties of the associated viscoelastic functions. General dynamical equations are written down. Also, the boundary value problems that will be discussed in later chapters are stated in general terms. Familiar concepts from the Theory of Linear Elasticity are introduced in a summary manner. For a fuller discussion of these, we refer to standard references (Love (1934), Sokolnikoff (1956), Green and Zerna (1968), Gurtin (1972)). Coleman and Noll (1961) have shown that the theory described here may be considered to be a limit, for infinitesimal deformations, of the general (non-linear) theory of materials with memory.
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© 1988 Springer-Verlag Berlin Heidelberg
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Golden, J.M., Graham, G.A.C. (1988). Fundamental Relationships. In: Boundary Value Problems in Linear Viscoelasticity. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06156-5_1
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DOI: https://doi.org/10.1007/978-3-662-06156-5_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-06158-9
Online ISBN: 978-3-662-06156-5
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