期刊
SIAM JOURNAL ON APPLIED MATHEMATICS
卷 73, 期 4, 页码 1460-1488出版社
SIAM PUBLICATIONS
DOI: 10.1137/120870396
关键词
seismic fault rupture; tectonic earthquakes; activated processes; aseismic slip; stable time discretization; weak solution; convergence
资金
- Necas Center for Mathematical Modelling [LC06052]
- Gobierno de Espana, Ministerio de Educacion, Cultura y Deporte [VEGA 1/0201/11, SAB2010-0082]
- [RVO: 61388998]
- [201/09/0917]
- [201/10/0357]
An isothermal small-strain model based on the concept of generalized standard materials is devised, combining Maxwell-type rheology, damage, and perfect plasticity in the bulk. An interface analogue of the model is prescribed at the lithospheric faults, exploiting concepts of adhesive contacts with interfacial plasticity. The model covers simultaneously features such as rupturing of the fault zone accompanied with weakening/healing effects and also seismic waves emission and propagation connected with the sudden ruptures of the fault or a fluid-like aseismic response between the ruptures. A stable numerical strategy based on semi-implicit discretization in time is devised, and its convergence is shown. Numerical simulations documenting the capacity of the model to simulate earthquakes with repeating occurrence are performed, too.
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