A D-adaptive mathematical model that combines elastic structures with a thin coating is analysed. The main idea of this approach is based on the formulation of the combined model, which allows the use of 3-D elasticity theory model over one part of the domain, and 2-D Timoshenko’s shell model over the other part. The boundary and variation formulation of the D-adaptive model problem are presented. The numerical results are compared with available exact solutions. The numerical results demonstrate the applicability of this approach.
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