Header menu link for other important links
X
Scaled boundary polygons for linear elastodynamics
Hauke Gravenkamp,
Published in Elsevier B.V.
2018
Volume: 333
   
Pages: 238 - 256
Abstract
A polygonal scaled boundary finite element method (SBFEM) is proposed for linear elastodynamics in two dimensions. The domain is divided into non-overlapping polygonal elements, and the scaled boundary finite element approach is employed over each polygon. The advantages are that an arbitrary interpolation order can be used on each polygon and we can choose the optimal element order on each edge individually. Moreover, the SBFEM simplifies the numerical integration over the polygons when compared to conventional approaches. The dynamic stiffness matrix is computed by employing the continued fraction expansion. The influence of the shape of the polygon and the element order on the boundary of each polygon are studied. The robustness and the accuracy of the approach are demonstrated with numerical examples. © 2018 Elsevier B.V.
About the journal
JournalData powered by TypesetComputer Methods in Applied Mechanics and Engineering
PublisherData powered by TypesetElsevier B.V.
ISSN00457825
Open AccessNo
Concepts (12)
  •  related image
    Geometry
  •  related image
    Stiffness matrix
  •  related image
    Wave propagation
  •  related image
    CONTINUED FRACTION EXPANSION
  •  related image
    Dynamic stiffness matrix
  •  related image
    ELASTO-DYNAMICS
  •  related image
    Finite-element approach
  •  related image
    POLYGONAL ELEMENT
  •  related image
    SBFEM
  •  related image
    SCALED BOUNDARY FINITE ELEMENT METHOD
  •  related image
    SCALED BOUNDARY POLYGONS
  •  related image
    Finite element method