Isogeometric analysis based on geometric reconstruction models

Abstract

In isogeometric analysis (IGA), the boundary representation of computer-aided design (CAD) and the tensor-product non-uniform rational B-spline structure make the analysis of three-dimensional (3D) problems with irregular geometries difficult. In this paper, an IGA method for complex models is presented by reconstructing analysis-suitable models. The CAD model is represented by boundary polygons or point cloud and is embedded into a regular background grid, and a model reconstruction method is proposed to obtain the level set function of the approximate model, which can be directly used in IGA. Three 3D examples are used to test the proposed method, and the results demonstrate that the proposed method can deal with complex engineering parts reconstructed by boundary polygons or point clouds.

Graphical abstract

Keywords

isogeometric analysis / reconstruction model / level set function / trimmed element / point cloud

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Acknowledgements

This work has been supported by the National Key R&D Program of China (Grant No. 2020YFB1708300), the National Natural Science Foundation of China (Grant Nos. 52075184 and 51705158), and the Research Grants Council via Early Career Scheme, Hong Kong, China (RGC Ref. No. 27209817). These supports are gratefully acknowledged.

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