Towards Automatic Stress Analysis using Scaled Boundary Finite Element Method with Quadtree Mesh of High-order Elements
For engineers and researchers in computational mechanics, this provides a more automatic and accurate method for stress analysis, though it is an incremental improvement over existing SBFEM approaches.
The paper introduces a technique for stress and fracture analysis using the scaled boundary finite element method with quadtree meshes of high-order elements, enabling automatic meshing without special treatment for hanging nodes or cracks. Numerical examples demonstrate its simplicity and applicability.
This paper presents a technique for stress and fracture analysis by using the scaled boundary finite element method (SBFEM) with quadtree mesh of high-order elements. The cells of the quadtree mesh are modelled as scaled boundary polygons that can have any number of edges, be of any high orders and represent the stress singularity around a crack tip accurately without asymptotic enrichment or other special techniques. Owing to these features, a simple and automatic meshing algorithm is devised. No special treatment is required for the hanging nodes and no displacement incompatibility occurs. Curved boundaries and cracks are modelled without excessive local refinement. Five numerical examples are presented to demonstrate the simplicity and applicability of the proposed technique.