Nonlinear versions of flexurally superconvergent elements

Wing Kam Liu*, Ted Belytschko, Jiun Shyan Chen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

38 Scopus citations


Flexurally superconvergent four-node elements, which can achieve engineering beam accuracy with a single layer of elements through the thickness of the beam, are generalized to nonlinear problems. The Hu-Washizu variational principal in terms of the first Piola-Kirchhoff stress tensor and the deformation gradient is used in conjunction with the γ-projection to develop an efficient form of this element. Example solutions show that while there is some degradation of the accuracy in the nonlinear range, the performance of these elements still permits very coarse meshes.

Original languageEnglish (US)
Pages (from-to)241-258
Number of pages18
JournalComputer Methods in Applied Mechanics and Engineering
Issue number3
StatePublished - Dec 1988

ASJC Scopus subject areas

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


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