An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order

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Nguyen-Xuan, H.; Liu, G. R.; Bordas, Stéphane; Natarajan, S.; Rabczuk, T.;
  • Journal: Computer Methods in Applied Mechanics and Engineering (issn: 0045-7825)
  • Publisher copyright policies & self-archiving
  • Related identifiers: doi: 10.1016/j.cma.2012.07.017
  • Subject: Crack propagation | Edge-based | Adaptive finite elements | Singular stress field | Displacement field | Stresses | Adaptive procedure | Stress field | Smoothed finite element method | Singular fields | Finite element method | Arbitrary order | : Multidisciplinaire, généralités & autres [C99] [Ingénierie, informatique & technologie] | Discretized systems | Singular ES-FEM | Singularity | Displacement value | Numerical example | Adaptive finite element | Stiffness matrix | Triangular elements | : Multidisciplinary, general & others [C99] [Engineering, computing & technology]

This paper presents a singular edge-based smoothed finite element method (sES-FEM) for mechanics problems with singular stress fields of arbitrary order. The sES-FEM uses a basic mesh of three-noded linear triangular (T3) elements and a special layer of five-noded singu... View more
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