Abstract
In the present study, the enriched finite element method (enriched FEM) is used to analyze the intensity of singularity in 2D-dissimilar material joints. Using the enriched FEM, the intensity of singularities can be directly evaluated and very refined mesh around the singular point is not necessary. An eigenvalue and eigenvector analysis by FEM is used to calculate the order of singularity and the asymptotic displacement fields on the enriched elements. The singular stress fields in three-material joints described by 2-real singularities are analyzed. In order to investigate the influence of material properties and boundary conditions on the singular stress field, models with various material combinations and loading styles (tensile and shear loadings) are considered. The relationships between the order of singularity, the intensity of singularity and the maximum stresses are discussed. Finally, the circumferential stresses, σθθ, and individual singular stress terms for the order of stress singularities, λ1 and λ2, are plotted, and the relationship between each singular term and asymptotic stresses is discussed.
