Abstract
We now examine how the formulas emerging from the methodology developed in Chapter 10 apply to materials other than those exhibiting a discrete-spectrum response, in particular for materials with a branch-cut-type singularity. We confine our considerations to the case that the cut is on the imaginary axis. Such a material is said to have a continuous-spectrum response, i.e., thosematerials for which the relaxation function is given by an integral of a density function multiplying a strictly decaying exponential. The results reported in this chapter were first presented in [61].
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© 2012 Springer Science+Business Media, LLC
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Amendola, G., Fabrizio, M., Golden, J.M. (2012). The Minimum Free Energy for a Continuous-Spectrum Material. In: Thermodynamics of Materials with Memory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-1692-0_13
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DOI: https://doi.org/10.1007/978-1-4614-1692-0_13
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Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4614-1691-3
Online ISBN: 978-1-4614-1692-0
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