Geometrically exact nonlinear extended-Reissner/Mindlin Shells: Fundamentals, finite element formulation, elasticity

Mehrdad Negahban, Ashwani Goel, Paulo Marchon, Atorod Azizinamini

Research output: Contribution to journalArticle

6 Scopus citations


Extended Reissner/Mindlin shell kinematics are used to develop an exact shell that makes no further approximations on the deformation or strain. The formulation is fully tensorial. A three-dimensional isoparametric element is used as the reference configuration. The FE approximation introduces nodes on the mid-surface of the isoparametric element, with the thickness having a separately defined interpolation. The variational formulation is based on the nominal stress tensor. Isotropic linear and nonlinear elastic shells are constructed that use p-type interpolation along the director. The formulation is exact, resulting in nonlinear elements showing better characteristics in comparison to other such elements.

Original languageEnglish (US)
Pages (from-to)430-449
Number of pages20
JournalInternational Journal of Computational Methods in Engineering Science and Mechanics
Issue number6
StatePublished - Nov 1 2009



  • Elastic
  • Finite element method
  • Isoparametric
  • Linear
  • Nonlinear
  • Shells

ASJC Scopus subject areas

  • Computational Mechanics
  • Computational Mathematics

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