Adaptive ALE finite elements with particular reference to external work rate on frictional interface

Wing Kam Liu*, Jiun Shyan Chen, Ted Belytschko, Yi Fei Zhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

44 Scopus citations

Abstract

Simulation methods for material forming processes based on arbitrary Lagrangian-Eulerian (ALE) finite elements and adaptive mesh deployment techniques are developed. Special emphasis is on the ALE formulation with respect to the external virtual work rate on the friction interface. An extension of the solution algorithm from the explicit scheme to Newton iteration is also given. Successful strategies for the use of ALE finite element models in nonlinear problems are explored. The implementation of ALE finite element modeling to rolling material forming processes with friction and the fusion of ALE methods with adaptive finite elements is explored. Applications to metal rolling problems are then given.

Original languageEnglish (US)
Pages (from-to)189-216
Number of pages28
JournalComputer Methods in Applied Mechanics and Engineering
Volume93
Issue number2
DOIs
StatePublished - Dec 1991

Funding

When a material is formed by processes such as forging, cutting, sheet pressing and molding, it experiences large unrecoverable deformation. This deformation leads to the development of zones of high strain concentration and, consequently, the onset of internal (or surface) cracks. This strain localization is the cause of many defects, such as wrinkling and buckling, puckering, necking and tearing. In general, the formation of these defects cannot be identified easily during the design of the forming process. In solids, the strain localization is often called shear bands. Shear bands, which can be described as regions of inhomogeneity in which intense shear strains are developed, are formed when the material flows at different strain rates (or velocities) during the forming process. An accurate forming simulation should provide information on the forming force, strain and stress distributions; the undesirable processes which lead to localization deformations might then be avoided. The deformation which occurs in forming processes exhibits characteristics of both solid and fluid flow. Therefore, either a fluid mechanics approach or a solid mechanics approach are * The support of this research by NSF Grant EET-8806347 and the National Center for Supercomputing Applications at Urbana-Champaign is gratefully acknowledged. Presently at GENCORP, Research Division, 2990 Gilchrist Road, Akron, OH, 44305, USA.

ASJC Scopus subject areas

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

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