Abstract
The paper considers the analysis of shallow and deep arches by curved beam finite elements, the interest in this problem being that it forms a limiting case of the shell problem. The individual elements are assumed to be shallow with respect to a local base line and different types of strain-displacement equations are utilised. Particular attention is focussed on the choice of the displacement patterns for the elements and models based both on independently-interpolated displacement components, of up to quintic order, and on assumed strain distributions are considered. Numerical applications using the various models show that of those tested only quintic-quintic models and assumed-strain models are generally satisfactory.
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