Abstract
A simple nine-freedom thin plate finite element is obtained by using cubic Hermitian interpolation to define displacements at the third points on each side. A tenth “local” freedom at the centroid is then approximated using an interpolation devised by Bazeley et al. together with Hermitian interpolation on the sides. The result is a ten freedom “local” element to which the standard cubic Lagrangian areal coordinate interpolation can be applied. The element is of similar accuracy to a number of other well-known elements of comparable complexity and it provides another useful example of the “method of nested interpolations” which, along with penalty factors and Lagrange multipliers, brings us to the state of the art of the finite element method[1].
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