Meshless methods for shear-deformable beams and plates

Brian M. Donning, Wing K Liu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

135 Scopus citations


A meshless method is developed to analyze moderately thick and thin structures using Mindlin-Reissner theory. A uniform discretization is used to allow for efficient integration and for the shape functions to be written explicitly. Irregular boundaries are modeled in a straightforward manner. An unmodified displacement-based Galerkin method is used; full integration is used to evaluate all energy terms, and convergence is independent of the thickness. Shear and membrane locking are completely eliminated pointwise at the interpolant level using cardinal splines. The continuity of the splines chosen results in continuous stresses. An extension to general meshless methods is given. Beam and plate examples show the accuracy of this method for coarse discretizations.

Original languageEnglish (US)
Pages (from-to)47-71
Number of pages25
JournalComputer Methods in Applied Mechanics and Engineering
Issue number1-2
StatePublished - Jan 22 1998

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'Meshless methods for shear-deformable beams and plates'. Together they form a unique fingerprint.

Cite this