Finite element analysis of plane strain bifurcation within compressible solids

Research output: Contribution to journalArticle

14 Citations (Scopus)

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

Fingerprint

Bifurcation (mathematics)
Plane Strain
Bifurcation
Structural geology
Finite Element
Geomechanics
Finite element method
Solid Mechanics
Geology
Stiffness matrix
Stiffness Matrix
Boundary value problems
Mechanics
Compaction
Compression
Finite Element Method
Boundary Value Problem
Singularity

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics

Cite this

Finite element analysis of plane strain bifurcation within compressible solids. / Bardet, Jean-Pierre.

In: Computers and Structures, Vol. 36, No. 6, 1990, p. 993-1007.

Research output: Contribution to journalArticle

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