Complex geometric models are usually built with multiple NURBS patches with non-conforming interfaces, which bring difficulties within the isogeometric analysis. In this paper, Nitsche’s method is employed to glue different patches for nonlinear isogeometric analysis of hyperelastic material models which are widely used to describe the material behavior of rubbers, foams, biological tissues, etc. Nitsche based weakly governing equations and discretized stiffness matrices are detailedly developed in total Lagrangian form for isogeometric implementation. Different popular hyperelastic materials including Neo–Hookean, Mooney–Rivlin and Yeoh materials are employed for derivation. The Legendre–Gauss quadrature rule is used for numerical calculation. Several numerical examples in two dimensions are performed and compared with the results from commercial software to verify the validity of the proposed method and show the prospect in solving engineering problems.

中文翻译：

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超弹性等几何分析中非一致多面体耦合的 Nitsche 方法

复杂的几何模型通常由多个 NURBS 面片和非一致界面构建，这给等几何分析带来了困难。在本文中，Nitsche 的方法用于粘合不同的补丁，用于超弹性材料模型的非线性等几何分析，这些模型广泛用于描述橡胶、泡沫、生物组织等的材料行为。详细介绍了基于 Nitsche 的弱控制方程和离散刚度矩阵以完全拉格朗日形式开发，用于等几何实现。不同流行的超弹性材料包括 Neo-Hookean、Mooney-Rivlin 和 Yeoh 材料用于推导。勒让德-高斯求积法则用于数值计算。