Isogeometric analysis (IGA) is an important mesh-free method that provides the technique for the integration of computer-aided design and analysis. However, its formulation is based on classical continuum mechanics and is not suitable for crack propagation problems. The peridynamics (PD) theory is based on the non-local integral equation, which avoids the discontinuous problem of classical continuum mechanics and can solve the crack problems. In this paper, a coupling model of IGA and bond-based PD (IGA-PD) is proposed to provide the solution to crack problem of model with exact geometry. We prove that in the IGA-PD coupling model, the PD nodes can be constructed by using the control net from IGA. The implicit and explicit formulas of the PD model are combined with IGA formulations based on the force balance principle. Through setting the isogeometric model on the domain near the boundaries, the surface effect of the PD model can be relieved. The IGA-PD model fully utilizes the advantages of non-local continuum theory and improves the precision and computational efficiency in calculation of crack problems. The coupling method is straightforward and effective, and can be integrated within existing IGA codes. Examples of static problems and crack propagations are given to prove the effectiveness of the proposed method.

等轴测分析（IGA）是一种重要的无网格方法，它为集成计算机辅助设计和分析提供了技术。但是，其公式是基于经典连续力学的，不适用于裂纹扩展问题。绕动力学（PD）理论基于非局部积分方程，它避免了经典连续力学的不连续性问题，并且可以解决裂纹问题。本文提出了一种基于IGA和基于键的PD的耦合模型（IGA-PD），以解决具有精确几何形状的模型的裂纹问题。我们证明，在IGA-PD耦合模型中，可以使用IGA的控制网络来构造PD节点。PD模型的隐式和显式公式与基于力平衡原理的IGA公式相结合。通过在边界附近的区域上设置等几何模型，可以减轻PD模型的表面效应。IGA-PD模型充分利用了非局部连续理论的优势，提高了裂纹问题的计算精度和计算效率。耦合方法简单有效，可以集成到现有的IGA代码中。给出了静态问题和裂纹扩展的实例，以证明该方法的有效性。并可以集成到现有的IGA代码中。给出了静态问题和裂纹扩展的实例，以证明该方法的有效性。并可以集成到现有的IGA代码中。给出了静态问题和裂纹扩展的实例，以证明该方法的有效性。