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On the use of Coons ’ interpolation in CAD/CAE applications

By Christopher Provatidis and Andreas Kanarachos


Abstract:- This paper presents the several possibilities of using the Coons ’ interpolation in both CAD and CAE applications. It is shown that not only curvilinear surfaces may be interpolated (as it is well known from the literature), but also finite element meshes may be developed in any arbitrarily-shaped domain. Moreover, it is shown how it is possible to built-up isoparametric macro-finite-elements with degrees of freedom appearing at the boundaries only, using global shape functions that are based on the same interpolation. The theory is sustained by one typical two-dimensional application of a U-notched elastic structural member

Topics: Key-Words, CAD/CAE, Coons ’ interpolation, Finite Element Method (FEM, Mesh generation, Macroelements, Elastic Structures, Notched members, Stress concentration
Year: 2014
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