Stabilized Finite Element Formulations for Shells in a Bending Dominated State

  • Authors:
  • Dominique Chapelle;Rolf Stenberg

  • Affiliations:
  • -;-

  • Venue:
  • SIAM Journal on Numerical Analysis
  • Year:
  • 1998

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Abstract

We consider the design of finite element methods for the Naghdi shell model in the case when the deformation is bending dominated. Two formulations based on stabilizing techniques are introduced and it is proved that they are stable, hence free from locking. The theoretical estimates are confirmed by numerical benchmark studies.