We propose a new isogeometric method using Toric surface patches for trimmed CAD planar surfaces. This method converts each trimmed spline element into a Toric surface patch with conforming boundary representation and converts each non-trimmed spline element into a Bézier element. Because the Toric surface patches are a multi-sided generalization of classical Bézier surface patches, all trimmed and non-trimmed elements of a trimmed CAD surface have a unified geometric representation using Toric surface patches. Toric surface patches share the advantages of isogeometric continuum elements in that they can exactly model the geometry and can be easily implemented in standard finite-element code architectures. Several numerical examples are used to demonstrate the reliability of the proposed method.

我们提出了一种新的等高线方法，该方法使用Toric表面贴片来修剪CAD平面。该方法将每个修剪的样条曲线元素转换为具有一致边界表示的Toric表面贴片，并将每个未修剪的样条曲线元素转换为Bézier元素。由于Toric曲面补丁是经典Bézier曲面补丁的多面概括，因此，修剪的CAD曲面的所有修剪和非修剪元素都具有使用Toric曲面补丁的统一几何表示。复曲面曲面贴片具有等几何连续元素的优点，因为它们可以精确地对几何建模，并且可以在标准的有限元素代码体系结构中轻松实现。几个数值例子用来证明所提方法的可靠性。