Geodesic
Qualitative study of a geodynamical rate-and-state model for elastoplastic shear flows in crustal faults
Alexander Mielke1 orcid ; Tomáš Roubíček2 orcid
1Weierstraß-Institut für Angewandte Analysis und Stochastik, Berlin; Humboldt Universität zu Berlin, Germany
2Charles University, Prague; Czech Academy of Sciences, Prague, Czechia
Interfaces and free boundaries, Tome 26 (2024) no. 2, pp. 245-282

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DOI

The Dieterich–Ruina rate-and-state friction model is transferred to a bulk variant and the state variable (aging) influencing the dissipation mechanism is here combined also with a damage influencing standardly the elastic response. As the aging has a separate dynamics, the overall model does not have a standard variational structure. A one-dimensional model is investigated as far as the steady-state existence, localization of the cataclastic core, and its time response, too. Computational experiments with a damage-free variant show stick-slip behavior (i.e. seismic cycles of tectonic faults) as well as stable slip under very large velocities.
DOI : 10.4171/ifb/506
Classification : 35Q86, 35Q74, 74A55, 74C10, 86A15
Mots-clés : rate-and-state friction, plasticity, damage, aging, steady states, dynamics, time-discretization, seismic cycles, 1-degree-of-freedom slider

Alexander Mielke  1   ; Tomáš Roubíček  2

1 Weierstraß-Institut für Angewandte Analysis und Stochastik, Berlin; Humboldt Universität zu Berlin, Germany
2 Charles University, Prague; Czech Academy of Sciences, Prague, Czechia 
Alexander Mielke; Tomáš Roubíček. Qualitative study of a geodynamical rate-and-state model for elastoplastic shear flows in crustal faults. Interfaces and free boundaries, Tome 26 (2024) no. 2, pp. 245-282. doi: 10.4171/ifb/506
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     journal = {Interfaces and free boundaries},
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