TY - JOUR T1 - A model of rupturing lithospheric faults with re-occurring earthquakes A1 - Roubíček, Tomáš A1 - Souček, Ondřej A1 - Vodička, Roman JA - SIAM J. Appl. Math. Y1 - 2013 VL - 73 IS - 4 SP - 1460 EP - 1488 M2 - doi: 10.1137/120870396 KW - activated processes KW - aseismic slip KW - convergence KW - seismic fault rupture KW - stable time discretisation KW - tectonic earthquakes KW - weak solution N2 - 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 fluidic-like aseismic response between the ruptures. Stable numerical strategy based on semi-implicit discretisation 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. M1 - Preprint project = NCMM M1 - Preprint year = 2013 M1 - Preprint number = 13 M1 - Preprint ID = NCMM/2013/13 ER -