SINGULAR MAPPING FUNCTION FOR STRESS CONCENTRATION

An efficient and highly accurate method by using hierarchical finite elements is presented for the analysis of local stresses that are caused by the stress concentration in the vicinity of singular points. Singular elements are used to prevent the deterioration of convergence of the solution in the case of having singular points. In this study, hierarchical curved elements with many singular points are developed by using singular mapping functions. The accuracy and availability of these elements are demonstrated by numerical examples.