Abstract The Isogeometric Analysis (IGA) uses the Non-Uniform Rational B-Spline (NURBS) basis functions for the representation of both the geometry and the field variables. In IGA, the enforcement of the essential boundary conditions is complex because the NURBS basis functions do not satisfy the Kronecker-Delta property owing to their non-interpolating nature. Thus in the present formulation the strength of the NURBS basis functions to represent the geometry very accurately is considered and its weakness for representing the field variables is avoided by adopting classical finite element basis functions for the field variables and a new finite element method is coined as NURBS-Augmented Finite Element Method (NAFEM) is proposed.

中文翻译：

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用于任意板静态分析的 NURBS 增强有限元方法

摘要 等几何分析 (IGA) 使用非均匀有理 B 样条 (NURBS) 基函数来表示几何和场变量。在 IGA 中，基本边界条件的执行很复杂，因为 NURBS 基函数由于其非插值性质而不满足 Kronecker-Delta 性质。因此，在目前的公式中，考虑了 NURBS 基函数非常准确地表示几何的强度，并通过对场变量采用经典的有限元基函数来避免其在表示场变量方面的弱点，并创造了一种新的有限元方法为提出了 NURBS 增强有限元方法 (NAFEM)。