Finite element analysis of anisotropic materials with singular inplane stress fields (Q675402)

A finite element formulation is developed for the analysis of singular stress states at material and geometric discontinuities in anisotropic materials loaded inplane. The displacement field of the sectorial element is quadratic in the angular coordinate direction and exponential in the radial direction measured from the singular point. The stress and displacement fields are obtained when the order of the stress singularity is real as well as complex. The simplicity and accuracy of the formulation are demonstrated by comparison to several analytical solutions for both isotropic and anisotropic multi-material wedges and junctions with and without disbonds.