International journal of fracture vol:70 issue:4 pages:347-356
A three-dimensional six-noded prism (wedge) finite element containing a singularity of order lambda is developed. The interpolation functions of the displacement allow for variations proportional to the power lambda of the distance from the crack front along the crack surface and to the distance in the perpendicular direction. The element is compatible with standard wedge (6-noded) and brick (8-noded) isoparametric elements. Three problems are studied to examine the proposed element, namely, a penny-shaped crack in a cylinder, an edge crack in an homogeneous material, and a crack perpendicular to a bimaterial interface.