A non-conforming displacement triangular finite element is derived with quadratically varying displacements for use in plate-bending problems. It is shown that the element corresponds with a known constant-bending-moment element and provides, in consequence, an over-estimate of the influence coefficients. Convergence is also assured in advancing to successively finer mesh sizes. A few simple test problems are computed so as to illustrate the kind of accuracy which can be expected.
No takes yet. Share an insight, caveat, or question.
L. S. D. Morley (1971) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: