A non‐uniform rational B‐splines enhanced finite element formulation based on the scaled boundary parameterization for the analysis of heterogeneous solids

The contribution is concerned with a finite element formulation for the nonlinear analysis of heterogeneous solids in boundary representation. It results an arbitrary number curved edges. edges can be parametrized by, example, non-uniform rational B-splines (NURBS). presented based on scaling concept, which adopted from so-called scaled method (SBFEM). In contrast to SBFEM, proposed uses numerical approximation displacement response direction. This enables geometrically and physically problems solid mechanics. interpolation at circumferential direction independent Thus, different basis functions used each direction, NURBS Lagrange radial allows construction polygonal elements sides, are described by either whole curves or curves' segments. advantage flexibility mesh generation. For using Quadtree algorithms, fast reliable generation achieved. Furthermore, connection trimming precise representation geometry even coarse meshes. Some benchmark tests evaluate accuracy against analytical solutions, comparison standard formulations given as well.