In this paper, a semi-discrete model based on peridynamics (PD) for engineered cementitious composites (ECCs) is applied to simulate the fracture behavior of functionally graded ECC (FGECC) beams. This is a new application of PD in ECC. Prior to simulating the crack behavior, the convergence of the PD model for ECC is discussed and the appropriate horizon size \(\delta \) and nonlocal ratio m are obtained, i.e., \(\delta = 1.6\,\hbox {mm}\) and \(m = 4\). In addition, when the bond strain exceeds the elastic limit, a damage variable is introduced into the model, and the model is validated using a simple numerical algorithm. Finally, the dynamic fracture behavior of a two-dimensional FGECC beam under four-point bending is investigated, and the effect of the initial crack location on the fracture behavior is analyzed. Simulation results show that the initial crack location can affect the crack propagation pattern, thereby enabling one to understand the dynamic fracture behavior of ECC structures and guide the engineering practice.

在本文中，基于近场动力学 (PD) 的工程水泥基复合材料 (ECC) 的半离散模型被应用于模拟功能梯度 ECC (FGECC) 梁的断裂行为。这是PD在ECC中的新应用。在模拟裂纹行为之前，讨论了 ECC 的 PD 模型的收敛性，并获得了合适的层级尺寸\(\delta \)和非局部比率m，即\(\delta = 1.6\,\hbox {mm} \)和\(m = 4\). 此外，当粘结应变超过弹性极限时，将损伤变量引入模型，并使用简单的数值算法对模型进行验证。最后，研究了二维FGECC梁在四点弯曲作用下的动态断裂行为，分析了初始裂纹位置对断裂行为的影响。仿真结果表明，初始裂纹位置可以影响裂纹扩展模式，从而了解ECC结构的动态断裂行为并指导工程实践。