Article ID Journal Published Year Pages File Type
4626121 Applied Mathematics and Computation 2016 9 Pages PDF
Abstract

We present a discretisation of Kirchhoff–Love thin shells based on a subdivision algorithm that generalises NURBS to arbitrary topology. The isogeometric framework combines the advantages of both subdivision and NURBS, enabling higher degree analysis on watertight meshes of arbitrary geometry, including conic sections. Because multiple knots are supported, it is possible to benefit from symmetries in the geometry for a more efficient subdivision based analysis. The use of the new subdivision algorithm is an improvement to the flexibility of current isogeometric analysis approaches and allows new use cases.

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Physical Sciences and Engineering Mathematics Applied Mathematics
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