Mma. Wahab et G. Deroeck, A 2-D 4-NODED FINITE-ELEMENT CONTAINING A SINGULARITY OF ORDER-LAMBDA, Structural engineering and mechanics, 3(4), 1995, pp. 383-390
A 2-D four-noded finite element which contains a lambda singularity is
developed. The new element is compatible with quadratic standard isop
arametric elements. The element is tested on two different examples. I
n the first example, an edge crack problem is analyzed using two diffe
rent meshes and different integration orders. The second example is a
crack perpendicular to the interface problem which is solved for diffe
rent material properties and in turn different singularity order lambd
a. The results of those examples illustrate the efficiency of the prop
osed element.