PEERS: A new mixed finite element for plane elasticity

Douglas N. Arnold, Franco Brezzi, Jim Douglas

Research output: Contribution to journalArticle

254 Scopus citations

Abstract

A mixed finite element procedure for plane elasticity is introduced and analyzed. The symmetry of the stress tensor is enforced through the introduction of a Lagrange multiplier. An additional Lagrange multiplier is introduced to simplify the linear algebraic system. Applications are made to incompressible elastic problems and to plasticity problems.

Original languageEnglish (US)
Pages (from-to)347-367
Number of pages21
JournalJapan Journal of Applied Mathematics
Volume1
Issue number2
DOIs
StatePublished - Dec 1 1984
Externally publishedYes

Keywords

  • finite element methods
  • plane elasticity

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