A multiple-quadrature eight-node hexahedral finite element for large deformation elastoplastic analysis

Wing Kam Liu*, Yong Guo, Sing Tang, Ted Belytschko

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

107 Scopus citations

Abstract

A multiple-quadrature underintegrated hexahedral finite element, which is free of volumetric and shear locking, and has no spurious singular modes, is described and implemented for nonlinear analysis. Finite element formulations are derived in the corotational coordinate system. The use of consistent tangent operators for large deformation elastoplasticity with nonlinear isotropic/kinematic hardening rules preserves the quadratic rate of convergence of the Newton's iteration method in static analysis. Test problems studied demonstrate the efficiency and effectiveness of this element in solving a wide variety of problems, including sheet metal forming processes.

Original languageEnglish (US)
Pages (from-to)69-132
Number of pages64
JournalComputer Methods in Applied Mechanics and Engineering
Volume154
Issue number1-2
DOIs
StatePublished - Feb 1 1998

ASJC Scopus subject areas

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

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