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hp-Generalized FEM and crack surface representation for non-planar 3-D cracks

Pereira, J. P. ; Duarte, C. A. ; Guoy, D. ; Jiao, X.

International journal for numerical methods in engineering, 2009-01, Vol.77 (5), p.601-633 [Periódico revisado por pares]

Chichester, UK: John Wiley & Sons, Ltd

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  • Título:
    hp-Generalized FEM and crack surface representation for non-planar 3-D cracks
  • Autor: Pereira, J. P. ; Duarte, C. A. ; Guoy, D. ; Jiao, X.
  • Assuntos: Computational techniques ; Exact sciences and technology ; extended finite element method ; fracture ; Fracture mechanics (crack, fatigue, damage...) ; Fundamental areas of phenomenology (including applications) ; generalized finite element method ; high-order approximations ; Mathematical methods in physics ; Physics ; Solid mechanics ; Structural and continuum mechanics
  • É parte de: International journal for numerical methods in engineering, 2009-01, Vol.77 (5), p.601-633
  • Notas: istex:DE9C9764EFD3E9E436CE0D9B84452EAC4B6A9CAB
    ark:/67375/WNG-LL92GQ0M-H
    University of Illinois at Urbana-Champaign
    ArticleID:NME2419
    ObjectType-Article-2
    SourceType-Scholarly Journals-1
    ObjectType-Feature-1
    content type line 23
  • Descrição: A high‐order generalized finite element method (GFEM) for non‐planar three‐dimensional crack surfaces is presented. Discontinuous p‐hierarchical enrichment functions are applied to strongly graded tetrahedral meshes automatically created around crack fronts. The GFEM is able to model a crack arbitrarily located within a finite element (FE) mesh and thus the proposed method allows fully automated fracture analysis using an existing FE discretization without cracks. We also propose a crack surface representation that is independent of the underlying GFEM discretization and controlled only by the physics of the problem. The representation preserves continuity of the crack surface while being able to represent non‐planar, non‐smooth, crack surfaces inside of elements of any size. The proposed representation also provides support for the implementation of accurate, robust, and computationally efficient numerical integration of the weak form over elements cut by the crack surface. Numerical simulations using the proposed GFEM show high convergence rates of extracted stress intensity factors along non‐planar curved crack fronts and the robustness of the method. Copyright © 2008 John Wiley & Sons, Ltd.
  • Editor: Chichester, UK: John Wiley & Sons, Ltd
  • Idioma: Inglês
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