The adequate coupling of dissimilar materials and structural element types provides effective engineering designs. Particularly, it enables high stiffness and low weight mechanical components, which are largely desired in numerous applications. Besides, Isogeometric Analysis (IGA) has recently stood out as a robust and accurate approach for the mechanical modelling of complex 3D engineering designs directly from Computer-Aided Design (CAD) tools. In this context, this study presents nonlinear Isogeometric Boundary Element Method (IGABEM) formulations for the effective mechanical modelling of nonhomogeneous 3D structural systems reinforced by embedded fibres. The IGABEM based on NURBS surfaces represents the solid whereas the 1D approach of BEM models the reinforcements, which characterises a 1DBEM/IGABEM coupling technique. The sub-region technique enables the nonhomogeneous system modelling whereas connection 1DBEM elements allow for crossing reinforcements along boundary interfaces without the need for surfaces remeshing. Thus, the CAD model information can be straightforwardly used in the mechanical model. Nonlinear time independent formulations are presented accounting for both elastoplastic and bond-slip behaviours. Besides, linear and nonlinear time dependent formulations are presented herein applying the Kelvin-Voigt and Boltzmann viscoelastic rheological models. Five applications illustrate the accuracy and robustness of the proposed formulations. The IGABEM formulations lead to accurate and stable results, in addition to efficient modelling. Besides, it demonstrates excellent performance considering the computational time consuming and the total number of degrees of freedom in each application.

不同材料和结构元素类型的充分耦合提供了有效的工程设计。特别是，它可以实现高刚度和低重量的机械部件，这在许多应用中都是非常需要的。此外，等几何分析 (IGA) 最近已成为直接从计算机辅助设计 (CAD) 工具对复杂 3D 工程设计进行机械建模的强大而准确的方法。在这种情况下，本研究提出了非线性等几何边界元方法 (IGABEM) 公式，用于对嵌入纤维增强的非均匀 3D 结构系统进行有效的机械建模。基于 NURBS 曲面的 IGABEM 表示实体，而 BEM 的一维方法对钢筋进行建模，这是 1DBEM/IGABEM 耦合技术的特征。子区域技术支持非均匀系统建模，而连接 1DBEM 单元允许沿边界界面交叉钢筋，而无需重新划分表面。因此，CAD 模型信息可以直接用于机械模型。非线性时间独立公式被提出来考虑弹塑性和粘结滑移行为。此外，本文还应用 Kelvin-Voigt 和 Boltzmann 粘弹性流变模型提出了线性和非线性时间相关公式。五个应用说明了所提出的配方的准确性和稳健性。除了有效的建模外，IGABEM 公式还可以产生准确和稳定的结果。除了，