Abstract
A method is developed by which a shear band in a soil medium can be adequately modelled in a numerical analysis. The approach consists of writing a modified principle of virtual work equation which accounts for discontinuities in the domain of interest. The formulation is then supplemented with governing fluid flow equations for a fluid saturated porous medium. Controlling field variables in the variational principle become continuous displacement, discontinuous displacement and pore fluid pressure. The finite element discretization leads to the development of a special 2-D element with implicit discontinuity in its interpolation function to obviate the need to update the mesh topology during progression of an internal discontinuity surface. Post peak failure is groved by an interface relationship for rupture, while the surrounding material follows any constitutive law. Some numerical examples are presented to illustrate the method.
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