Header menu link for other important links
X
Dynamic fracture simulations using the scaled boundary finite element method on hybrid polygon-quadtree meshes
Ean Tat Ooi, , Chongmin Song, Ean Hin Ooi
Published in Elsevier Ltd
2016
Volume: 90
   
Pages: 154 - 164
Abstract
In this paper, we present an efficient computational procedure to model dynamic fracture within the framework of the scaled boundary finite element method (SBFEM). A quadtree data structure is used to discretise the domain, and 2:1 ratio between the cells is maintained. This limits the number of patterns in the quadtree decomposition and allows for efficient computation of the system matrices. The regions close to the boundary are discretised with arbitrary sided polygons so as to facilitate accurate modelling of the curved boundaries. The stiffness and the mass matrix over all the cells are computed by the SBFEM. Moreover, the semi-analytical nature of the SBFEM enables accurate modelling of the asymptotic stress fields in the vicinity of the crack tip. An efficient remeshing algorithm that combines the quadtree decomposition with simple Boolean operations is proposed to model the crack propagation. The remeshing is restricted only to a small region in the vicinity of the crack tip. The efficiency and the convergence properties of the proposed framework are demonstrated with a few benchmark problems. © 2015 Elsevier Ltd. All rights reserved.
About the journal
JournalData powered by TypesetInternational Journal of Impact Engineering
PublisherData powered by TypesetElsevier Ltd
ISSN0734743X
Open AccessNo
Concepts (17)
  •  related image
    Computational efficiency
  •  related image
    Crack propagation
  •  related image
    Crack tips
  •  related image
    Cracks
  •  related image
    Fracture
  •  related image
    Matrix algebra
  •  related image
    Mesh generation
  •  related image
    Stiffness matrix
  •  related image
    ASYMPTOTIC STRESS FIELD
  •  related image
    Computational procedures
  •  related image
    DYNAMIC FRACTURES
  •  related image
    HYBRID MESHES
  •  related image
    QUAD TREES
  •  related image
    QUAD-TREE DECOMPOSITION
  •  related image
    QUADTREE DATA STRUCTURES
  •  related image
    SCALED BOUNDARY FINITE ELEMENT METHOD
  •  related image
    Finite element method