A 2-D five-noded finite element to model power singularity

Abstract

A 2-D five-noded finite element which contains a λ singularity is developed. The new element is compatible with cubic standard isoparametric elements. The main advantage of using cubic isoparametric elements over quadratic elements is to reduce the number of elements required to model a structure for results of comparable accuracy. The element is tested on two different examples. In the first example, an edge crack problem is analyzed using two different meshes. The second example is a crack perpendicular to the interface problem which is solved for two different specific composites. The results obtained using the proposed element are compared with those obtained using other existing elements in the literature. Those comparisons demonstrate the superiority of the present technique in using less number of elements and nodes to produce accurate results.