Allison, K. L. and Dunham, E. M.: Earthquake cycle simulations with rate-and-state friction and power-law viscoelasticity, Tectonophysics, 733, 232–256, 2018. a
Andrews, D.: Rupture propagation with finite stress in antiplane strain, Journal of Geophysical Research, 81, 3575–3582, 1976.
a,
b
Buck, W. R.: Effect of lithospheric thickness on the formation of high-and low-angle normal faults, Geology, 21, 933–936, 1993. a
Cundall, P.: Numerical experiments on localization in frictional materials, Ingenieur-archiv, 59, 148–159, 1989. a
Cundall, P.: Numerical modelling of jointed and faulted rock, in: Mechanics of Jointed and Faulted Rock, 1st edn., edited by: Rossmanith, H. P., CRC Press, London,
https://doi.org/10.1201/9781003078975, 1990.
a
Dal Zilio, L., Lapusta, N., Avouac, J.-P., and Gerya, T.: Subduction earthquake sequences in a non-linear visco-elasto-plastic megathrust, Geophysical Journal International, 229, 1098–1121,
https://doi.org/10.1093/gji/ggab521, 2022.
a
de Borst, R. and Duretz, T.: On viscoplastic regularisation of strain-softening rocks and soils, International Journal for Numerical and Analytical Methods in Geomechanics, 44, 890–903, 2020. a
De Borst, R., Crisfield, M. A., Remmers, J. J., and Verhoosel, C. V.: Nonlinear finite element analysis of solids and structures, John Wiley & Sons,
https://doi.org/10.1002/9781118375938, 2012.
a
de Souza Neto, E. A., Peric, D., and Owen, D. R.: Computational methods for plasticity: theory and applications, John Wiley & Sons,
https://doi.org/10.1002/9780470694626, 2011.
a,
b,
c
Dieterich, J. H.: Modeling of rock friction: 1. Experimental results and constitutive equations, Journal of Geophysical Research: Solid Earth, 84, 2161–2168, 1979. a
Dormy, E. and Tarantola, A.: Numerical simulation of elastic wave propagation using a finite volume method, Journal of Geophysical Research: Solid Earth, 100, 2123–2133, 1995. a
Duretz, T., Souche, A., De Borst, R., and Le Pourhiet, L.: The benefits of using a consistent tangent operator for viscoelastoplastic computations in geodynamics, Geochemistry, Geophysics, Geosystems, 19, 4904–4924, 2018.
a,
b
Duretz, T., de Borst, R., and Le Pourhiet, L.: Finite thickness of shear bands in frictional viscoplasticity and implications for lithosphere dynamics, Geochemistry, Geophysics, Geosystems, 20, 5598–5616, 2019.
a,
b,
c
Duretz, T., de Borst, R., and Yamato, P.: Modeling lithospheric deformation using a compressible visco-elasto-viscoplastic rheology and the effective viscosity approach, Geochemistry, Geophysics, Geosystems, 22, e2021GC009675,
https://doi.org/10.1029/2021GC009675, 2021.
a
Forsyth, D. W.: Finite extension and low-angle normal faulting, Geology, 20, 27–30, 1992.
a,
b,
c
Frankel, S. P.: Convergence rates of iterative treatments of partial differential equations, Mathematics of Computation, 4, 65–75, 1950. a
Gabriel, A.-A., Ampuero, J.-P., Dalguer, L., and Mai, P. M.: Source properties of dynamic rupture pulses with off-fault plasticity, Journal of Geophysical Research: Solid Earth, 118, 4117–4126, 2013. a
Johnson, P. A., Savage, H., Knuth, M., Gomberg, J., and Marone, C.: Effects of acoustic waves on stick–slip in granular media and implications for earthquakes, Nature, 451, 57–60, 2008. a
Kaneko, Y. and Fialko, Y.: Shallow slip deficit due to large strike-slip earthquakes in dynamic rupture simulations with elasto-plastic off-fault response, Geophysical Journal International, 186, 1389–1403, 2011. a
Lavier, L. L., Roger Buck, W., and Poliakov, A. N.: Self-consistent rolling-hinge model for the evolution of large-offset low-angle normal faults, Geology, 27, 1127–1130, 1999.
a,
b
Lemiale, V., Mühlhaus, H.-B., Moresi, L., and Stafford, J.: Shear banding analysis of plastic models formulated for incompressible viscous flows, Physics of the Earth and Planetary Interiors, 171, 177–186, 2008. a
Le Pourhiet, L.: Strain localization due to structural softening during pressure sensitive rate independent yielding, Bulletin de la Société géologique de France, 184, 357–371, 2013.
a,
b
Ma, S.: A physical model for widespread near-surface and fault zone damage induced by earthquakes, Geochemistry, Geophysics, Geosystems, 9,
https://doi.org/10.1029/2008GC002231, 2008.
a
Ma, S. and Andrews, D.: Inelastic off-fault response and three-dimensional dynamics of earthquake rupture on a strike-slip fault, Journal of Geophysical Research: Solid Earth, 115,
https://doi.org/10.1029/2009JB006382, 2010.
a
Moresi, L., Mühlhaus, H.-B., Lemiale, V., and May, D.: Incompressible viscous formulations for deformation and yielding of the lithosphere, Geological Society, London, Special Publications, 282, 457–472, 2007. a
Poliakov, A. N., Herrmann, H. J., Podladchikov, Y. Y., and Roux, S.: Fractal plastic shear bands, Fractals, 2, 567–581, 1994.
a,
b
Popov, A. and Sobolev, S. V.: SLIM3D: A tool for three-dimensional thermomechanical modeling of lithospheric deformation with elasto-visco-plastic rheology, Physics of the earth and planetary interiors, 171, 55–75, 2008.
a,
b
Pranger, C., Sanan, P., May, D. A., Le Pourhiet, L., and Gabriel, A.-A.: Rate and state friction as a spatially regularized transient viscous flow law, Journal of Geophysical Research: Solid Earth, 127, e2021JB023511,
https://doi.org/10.1029/2021JB023511, 2022.
a
Preuss, S., Ampuero, J. P., Gerya, T., and van Dinther, Y.: Characteristics of earthquake ruptures and dynamic off-fault deformation on propagating faults, Solid Earth, 11, 1333–1360,
https://doi.org/10.5194/se-11-1333-2020, 2020.
a
Räss, L., Utkin, I., Duretz, T., Omlin, S., and Podladchikov, Y. Y.: Assessing the robustness and scalability of the accelerated pseudo-transient method, Geosci. Model Dev., 15, 5757–5786,
https://doi.org/10.5194/gmd-15-5757-2022, 2022.
a
Ruina, A.: Slip instability and state variable friction laws, Journal of Geophysical Research: Solid Earth, 88, 10359–10370, 1983. a
Sabet, S. A. and de Borst, R.: Structural softening, mesh dependence, and regularisation in non-associated plastic flow, International Journal for Numerical and Analytical Methods in Geomechanics, 43, 2170–2183, 2019.
a,
b
Scuderi, M., Marone, C., Tinti, E., Di Stefano, G., and Collettini, C.: Precursory changes in seismic velocity for the spectrum of earthquake failure modes, Nature geoscience, 9, 695–700, 2016. a
Templeton, E. L. and Rice, J. R.: Off-fault plasticity and earthquake rupture dynamics: 1. Dry materials or neglect of fluid pressure changes, Journal of Geophysical Research: Solid Earth, 113,
https://doi.org/10.1029/2007JB005529, 2008.
a,
b
Tong, X. and Lavier, L. L.: Simulation of slip transients and earthquakes in finite thickness shear zones with a plastic formulation, Nature communications, 9, 3893,
https://doi.org/10.1038/s41467-018-06390-z, 2018.
a
Uphoff, C., May, D. A., and Gabriel, A.-A.: A discontinuous Galerkin method for sequences of earthquakes and aseismic slip on multiple faults using unstructured curvilinear grids, Geophysical Journal International, 233, 586–626, 2023. a
Vermeer, P.: The orientation of shear bands in biaxial tests, Géotechnique, 40, 223–236, 1990.
a,
b,
c
Virieux, J.: P-SV wave propagation in heterogeneous media: Velocity-stress finite-difference method, Geophysics, 51, 889–901, 1986. a
Wollherr, S., Gabriel, A.-A., and Uphoff, C.: Off-fault plasticity in three-dimensional dynamic rupture simulations using a modal Discontinuous Galerkin method on unstructured meshes: implementation, verification and application, Geophysical Journal International, 214, 1556–1584, 2018. a
