Abstract

Abstract Two topics are discussed within the context of finite element discretization of structures, the evaluation of stiffness properties and the computation of stresses. In the first part different polynomial expansions are studied on a typical example in regard to accuracy and efficiency. Then an attempt is made to improve the stiffness of the displacement model, e.g. by direct approximation of the strain field as opposed to its derivation from the displacement field. Alternatively, the order of numerical integration is reduced, the effect of which is then compared with the mixed model above. In the second part an integral procedure is developed for the direct approximation of element stresses as opposed to the local stress computation in which the stresses are derived from the displacement field. Numerical examples are then presented to illustrate the effects of different stress evaluation techniques for displacement models.

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