Isogeometric analysis enhanced by the scaled boundary finite element method

By Sundararajan Natarajan, Junchao Wang, Chongmin Song, Carolin Birk. 2015

100 citations recorded by the source corpus.

Abstract By leveraging the information of a typical CAD model in the analysis, the intensive process of discretization can be circumvented. This unification has led to the ‘Isogeometric Analysis’ (IGA) (Hughes et al., 2005). However, as the CAD model provides information only of the boundary, a 2D/3D stress analysis is still one major step away. In this work, the concepts of isogeometric analysis and the scaled boundary finite element method (SBFEM) are combined. The SBFEM requires only the boundary information and hence provides a seamless integration with the CAD modeling. Within the proposed framework, the NURBS basis functions are used to discretize the unknown fields in the circumferential direction, whilst analytical solution is sought in the radial direction. We further extend the framework to problems with singularities and to dynamic analysis. The accuracy and the convergence properties of the proposed method are demonstrated with benchmark problems in the context of linear elasticity and linear elastic fracture mechanics.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/a818a04130c665596a98fa1a039a6d11ae3fecda

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In Computational Mechanics

In Computer Graphics and Computer-Aided Design

In Mechanics of Materials

Citations in the corpus

Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth (2017, methodology): “Nevertheless, the approach does require a certain subdivision of the domain for complex geometries in order to obtain the scaling center [56].”