Second-order accurate constraint formulation for subdivision finite element simulation of thin shells

Seth Green*, George Turkiyyah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We present a new method for enforcing boundary conditions within subdivision finite element simulations of thin shells. The proposed framework is demonstrated to be second-order accurate with respect to increasing refinement in the displacement and energy norm for simply supported, clamped, free and symmetric boundary conditions. Second-order accuracy on the boundary is consistent with the accuracy of subdivision-based approaches for the interior of a body. Our proposed framework is applicable to both triangular and quadrilateral refinement schemes, and does not impose any topological requirements upon the underlying subdivision control mesh. Several examples from an obstacle course of benchmark problems are used to demonstrate the convergence of the scheme.

Original languageEnglish (US)
Pages (from-to)380-405
Number of pages26
JournalInternational Journal for Numerical Methods in Engineering
Volume61
Issue number3
DOIs
StatePublished - Sep 21 2004

Keywords

  • Constraints
  • Finite elements
  • Shells
  • Subdivision surfaces

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Second-order accurate constraint formulation for subdivision finite element simulation of thin shells'. Together they form a unique fingerprint.

Cite this