Research Article

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

  1. Seth Green*,
  2. George Turkiyyah

Article first published online: 29 JUL 2004

DOI: 10.1002/nme.1070

Issue

International Journal for Numerical Methods in Engineering

International Journal for Numerical Methods in Engineering

Volume 61, Issue 3, pages 380–405, 21 September 2004

Additional Information

How to Cite

Green, S. and Turkiyyah, G. (2004), Second-order accurate constraint formulation for subdivision finite element simulation of thin shells. International Journal for Numerical Methods in Engineering, 61: 380–405. doi: 10.1002/nme.1070

Author Information

  1. Department of Civil Engineering, University of Washington, Seattle, Washington 98105, U.S.A.

*Department of Civil Engineering, 352700, University of Washington, Seattle, Washington 98195-2700, U.S.A.

Publication History

  1. Issue published online: 1 SEP 2004
  2. Article first published online: 29 JUL 2004
  3. Manuscript Accepted: 23 JAN 2004
  4. Manuscript Revised: 14 NOV 2003
  5. Manuscript Received: 11 JUN 2003

Funded by

  • U.S. National Science Foundation. Grant Number: ACI-0086093

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Keywords:

  • constraints;
  • shells;
  • finite elements;
  • subdivision surfaces

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. Copyright © 2004 John Wiley & Sons, Ltd.

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