2022/07/22 by Alexander Mielke, Mielke, Alexander, Tomáš Roubı́ček +1
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #35Q74 #35Q86 #74-10 #74A55 #74C10 #74R20 #86A15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Granular flow and fluidized beds #Theoretical and Computational Physics #earthquake and tectonic studies
paper · pdf · doi:10.48550/arxiv.2207.11074
openalex publication_date 2022/07/22 · openalex created_date 2022/07/27 · openalex updated_date 2026/07/28
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.