Arbitrary lagrangian-eulerian petrov-galerkin finite elements for nonlinear continua

Kam Liu Wing Kam Liu*, Chang Herman, Chen Jiun-Shyan, Belytschko Ted

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

194 Scopus citations


The fundamental arbitrary Lagrangian-Eulerian (ALE) mechanics and its finite element formulation are given. The tangential stiffness matrix, which is shown to be composed of the linarized material response matrix, the geometrical stiffness matrix, and the ALE transport matrix are derived from a consistent linearization procedure. Various numerical methods for the ALE finite element equations are then presented, and several examples are analyzed to examine some features of the method.

Original languageEnglish (US)
Pages (from-to)259-310
Number of pages52
JournalComputer Methods in Applied Mechanics and Engineering
Issue number3
StatePublished - Jun 1988

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications


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