Finite element analysis of plane strain bifurcation within compressible solids

Research output: Contribution to journalArticle

14 Scopus citations

Abstract

The plane strain bifurcation of compressible solids is analyzed with finite elements by checking the singularity of the tangential stiffness matrix. The performance of the finite element method is tested by comparing numerical to analytical results in the particular case of the plane strain compression of hypoelastic materials. Although tested for a simple example, the proposed method can be applied to analyze the bifurcation phenomena which are observed in the boundary value problems of solid mechanics, structural geology, and geomechanics.

Original languageEnglish (US)
Pages (from-to)993-1007
Number of pages15
JournalComputers and Structures
Volume36
Issue number6
DOIs
StatePublished - 1990
Externally publishedYes

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Modeling and Simulation
  • Materials Science(all)
  • Mechanical Engineering
  • Computer Science Applications

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