A shallow shell finite element of triangular shape

Abstract A conforming shallow shell finite element of arbitrary triangular shape is developed and applied to the solution of several static problems. The element incorporates 36 generalized coordinates, namely the normal displacement w and its first and second derivatives plus the tangential displacements u and v and their first derivatives at each vertex. The theoretical asymptotic rate of convergence of strain energy when using this element is n −6 , where n is the number of elements per side of a structure. The example applications presented demonstrate that accurate predictions of stresses as well as displacements are obtained with only a few elements.

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