Qualitative study of a geodynamical rate-and-state model for elastoplastic shear flows in crustal faults

Alexander Mielke; Tomáš Roubíček

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arXiv · 2207.11074

Qualitative study of a geodynamical rate-and-state model for elastoplastic shear flows in crustal faults

Alexander Mielke·Tomáš Roubíček

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Abstract

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 ataclastic 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.

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Alexander Mielke, Tomáš Roubíček. 2022-07-22. Qualitative study of a geodynamical rate-and-state model for elastoplastic shear flows in crustal faults. https://arxiv.org/abs/2207.11074

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