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

Kam Liu Wing Kam Liu; Chang Herman; Chen Jiun-Shyan; Belytschko Ted

doi:10.1016/0045-7825(88)90011-4

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

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

184 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	259-310
Number of pages	52
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	68
Issue number	3
DOIs	https://doi.org/10.1016/0045-7825(88)90011-4
State	Published - Jun 1988

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Physics and Astronomy(all)
Computer Science Applications

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abstract = "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.",

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