One dimensional models of frictional plastic strain localisation

Frictional plasticity governs the state of stress and the deformation style of the Earth’s upper crust. Frictional models depend on both deviatoric stress and pressure and include coupling between shear and volumetric stress via dilatancy and compaction. Elastic-plastic strains can takes the form of shear bands that can further be compared to geological observations. The study of frictional shear banding is non trivial because (1) this process is highly non-linear and (2) the models may require enrichment/regularisation to yield successful integration. 2D or 3D models may be used to model shear banding, they are however computationally expensive, which hinders systematic exploration of shear banding processes. We here present a 1D dimensional model of frictional plastic strain deformation. These models allow for exploring the process of strain localisation and the coupled effects of fluid flow and material microstructure.