TY - JOUR A1 - Bulling, Jannis A1 - Gravenkamp, H. A1 - Birk, C. T1 - A high-order finite element technique with automatic treatment of stress singularities by semi-analytical enrichment JF - Computer Methods in Applied Mechanics and Engineering N2 - This paper presents an approach to the automatic enrichment of finite elements in the vicinity of a stress singularity. The enrichment consists of semi-analytical singular modes constructed using the Scaled Boundary Finite Element Method (SBFEM). In contrast to analytical methods, the SBFEM provides modes for inhomogeneous and anisotropic materials without additional effort. The finite element basis can be of arbitrary order and remains unaltered by the enrichment. The approach requires enrichment in only one layer of elements around a node. Due to the compatibility of SBFEM with FEM, there is no Need for transitional elements, and there are no parasitic terms. The approach is tested for several benchmark problems. The stress intensity factors are computed based on techniques inspired by the SBFEM. The proposed procedure is compared to a Standard finite element implementation and shows a significant improvement in the error of the displacement field for problems involving singular stresses. KW - Enriched finite element method KW - Scaled boundary finite element method KW - Stress intensity factors KW - Singular stress PY - 2019 DO - https://doi.org/10.1016/j.cma.2019.06.025 VL - 355 SP - 135 EP - 156 PB - Elsevier B.V. AN - OPUS4-48979 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER -