Qualitative study of a geodynamical rate-and-state model for elastoplastic shear flows in crustal faults
Analysis of PDEs
2022-07-25 v1
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.
Keywords
Cite
@article{arxiv.2207.11074,
title = {Qualitative study of a geodynamical rate-and-state model for elastoplastic shear flows in crustal faults},
author = {Alexander Mielke and Tomáš Roubíček},
journal= {arXiv preprint arXiv:2207.11074},
year = {2022}
}