Abstract
This paper investigates the performance of global shape functions in axisymmetric elastic structures. The main idea behind the proposed theory is the use of the interpolation formula developed by Coons for CAD purposes in automotive industry, in which it is shown that it is capable of interpolating the displacements within a large patch on the axial cross-section of a structure. The degrees of freedom appear only at the patch boundaries and can be used in the solution of displacement and stress analysis problems. Two different schemes for the interpolation of the boundary data, using B-splines and/or linear global shape functions, are investigated. Numerical results are presented for three typical test cases where the proposed method is successfully compared with conventional finite elements and closed analytical solutions.
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