A C0 triangular plate element with one‐point quadrature

T. Belytschko, H. Stolarski, N. Carpenter

Research output: Contribution to journalArticlepeer-review

105 Scopus citations


A triangular plate element of the Mindlin type, which uses linear fields for rotations and transverse deflections, is developed. Success is achieved, in contrast to previous failures with this element, by decomposing the displacements into well‐defined bending and shear modes which are associated with bending and shear energies, respectively. The element only requires a single quadrature point, which is very attractive for nonlinear analysis. Results are presented for a variety of plate problems; the accuracy is similar to the 4‐node bilinear Mindlin plate and its rate of convergence is approximately of order h2.

Original languageEnglish (US)
Pages (from-to)787-802
Number of pages16
JournalInternational Journal for Numerical Methods in Engineering
Issue number5
StatePublished - May 1984


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