Enriched kriging interpolation method based on finite covers and its application in engineering

Presented in this paper is a new meshless formulation based on finite covers technique and Kriging interpolation method which integrates the flexibilities of the manifold method in dealing with discontinuity and the meshless features of the moving Kriging interpolation. The presented method can capture the 1 root r stress singularity at crack-tip in linear-elastic fracture mechanics and the shape function can not be affected by the discontinuous in the domain. so discontinuous problem can be treated better by using enriche basis and finite cover technique. The merit of the proposed method is that the shape functions constructed using this-method have the property of Kronecker delta-function property ( phi(i) (x(i)) = delta(ij)) which made the essential boundary conditions be easily implemented. The fundamental theory of this procedure is illustrated and numerical analyses of examples show that the proposed procedure is an effective and simple method with higher computational accuracy.