Stress amplification in the upper crust and the development of normal faulting

Finite element analysis of lithosphere deformation, incorporating failure criteria based on the Modified Griffith Theory for an elastic upper crust and a visco-elastic rheology for the lower crust and lithospheric mantle, demonstrates that normal faulting as a result of comparatively small, horizontal tensile stresses acting throughout the lithosphere can occur by the phenomenon of stress amplification. The use of a simple, Newtonian viscosity or of power law creep for the visco-elastic material does not significantly change the results. The time to failure is dependent upon the magnitude of the applied stress and the effective viscosity of the underlying material. For an applied stress of 20 MPa and a constant viscosity of 10²³ Pa s failure is predicted after 1.19 Ma, with a fault plane hade of about 30°. A decrease of one order of magnitude in the viscosity of the lower crust results in a slightly shorter time to failure whereas an increase of one order of magnitude results in a very much greater failure time.