A review of the scaled boundary finite element method for two-dimensional linear elastic fracture mechanics

By Chongmin Song, E. Ooi, Sundararajan Natarajan. 2017

179 citations recorded by the source corpus.

Abstract The development and the application of the scaled boundary finite element method for fracture analysis is reviewed. In this method, polygonal elements (referred to as subdomains) of arbitrary number of edges are constructed, with the only limitation that the whole boundary is directly visible from the scaling centre. The element solution is semi-analytical. When applied to two-dimensional linear fracture mechanics, any kinds of stress singularities are represented analytically without local refinement, special elements and enrichment functions. The flexibility of polygons to represent arbitrary geometric shapes leads to simple yet efficient remeshing algorithms to model crack propagation. Coupling procedures with the extended finite element method, meshless method and boundary element method to handle changes in the crack morphology have been established. These developments result in an efficient framework for fracture modelling. Examples of applications are provided to demonstrate their feasibility.

Subfields: Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/1d191ae63abad488809465f180a1f4274f1846d8

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In Mechanics of Materials

Citations in the corpus

Extended virtual element method for the Laplace problem with singularities and discontinuities (2019, methodology): “Among the methods for fracture on polygonal meshes that are germane to the present study, we mention the X-FEM [4], polygonal finite elements [5] and the scaled boundary finite element method [6].”