Understanding Micropolar Theory in the Earth Sciences I: The Eigenfrequency $$\omega _r$$

Autor: Abreu, Rafael, Durand, Stephanie, Institut für Geophysik, Westfälische Wilhelms-Universität Münster, Münster, Germany, Univ Lyon, UCBL, ENSL, UJM, CNRS, LGL-TPE, Villeurbanne, France
Přispěvatelé: Laboratoire de Géologie de Lyon - Terre, Planètes, Environnement (LGL-TPE), École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Institut national des sciences de l'Univers (INSU - CNRS)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)
Rok vydání: 2021
Předmět:
Zdroj: Pure and Applied Geophysics
Pure and Applied Geophysics, 2022, 179, pp.915-932. ⟨10.1007/s00024-021-02932-7⟩
ISSN: 1420-9136
0033-4553
Popis: Even though micropolar theories are widely applied for engineering applications such as the design of metamaterials, applications in the study of the Earth’s interior still remain limited and in particular in seismology. This is due to the lack of understanding of the required elastic material parameters present in the theory as well as the eigenfrequency $\omega _r$ which is not observed in seismic data. By showing that the general dynamic equations of the Timoshenko’s beam is a particular case of the micropolar theory we are able to connect micropolar elastic parameters to physically measurable quantities. We then present an alternative micropolar model that, based on the same physical basis as the original model, circumvents the problem of the original eigenfrequency $\omega _r$ laking in seismological data. We finally validate our model with a seismic experiment and show it is relevant to explain observed seismic dispersion curves.
Westfälische Wilhelms-Universität Münster (1056)
Databáze: OpenAIRE
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