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• W2102955711 startingPage "783" @default.
• W2102955711 abstract "In 1958, Jeffreys (Geophys J R Astron Soc 1:92–95) proposed a power law of creep, generalizing the logarithmic law earlier introduced by Lomnitz, to broaden the geophysical applications to fluid-like materials including igneous rocks. This generalized law, however, can be applied also to solid-like viscoelastic materials. We revisit the Jeffreys–Lomnitz law of creep by allowing its power law exponent α, usually limited to the range 0 ≤ α ≤ 1 to all negative values. This is consistent with the linear theory of viscoelasticity because the creep function still remains a Bernstein function, that is positive with a completely monotone derivative, with a related spectrum of retardation times. The complete range α ≤ 1 yields a continuous transition from a Hooke elastic solid with no creep $left(alpha ,to, -inftyright)$ to a Maxwell fluid with linear creep $left(alpha ,=,1right)$ passing through the Lomnitz viscoelastic body with logarithmic creep $left(alpha, =0right)$ , which separates solid-like from fluid-like behaviors. Furthermore, we numerically compute the relaxation modulus and provide the analytical expression of the spectrum of retardation times corresponding to the Jeffreys–Lomnitz creep law extended to all α ≤ 1." @default.
• W2102955711 created "2016-06-24" @default.
• W2102955711 creator A5010637528 @default.
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• W2102955711 date "2012-05-16" @default.
• W2102955711 modified "2023-10-11" @default.
• W2102955711 title "On the viscoelastic characterization of the Jeffreys–Lomnitz law of creep" @default.
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• W2102955711 doi "https://doi.org/10.1007/s00397-012-0634-x" @default.
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