An ordinary state-based peridynamic (PD) shell model with arbitrary horizon domains is presented. In computations of the PD parameters, the model removes the complete horizon assumption when treating the PD surface effect. In this study, the membrane, bending, and transverse shear deformations in the PD framework are taken into account. To examine fracture mechanics behavior, crack opening displacements and strain energy densities, which correspond to physical values of the PD failure criteria, are investigated under single- and mixed-mode fracture conditions. Several numerical examples are considered to evaluate fracture behaviors for shell structures subjected to in-plane or out-of-plane loading. The PD surface effect near domain boundaries or crack surfaces is validly treated by using the presented method. In addition, a crack propagation analysis is performed to estimate the effectiveness of the presented method.

提出了一种具有任意水平域的普通基于状态的近场动力学 (PD) 壳模型。在计算局部放电参数时，模型在处理局部放电表面效应时去除了完整的水平假设。在这项研究中，考虑了 PD 框架中的膜、弯曲和横向剪切变形。为了检查断裂力学行为，在单模和混合模断裂条件下研究了裂纹张开位移和应变能密度，它们对应于 PD 失效标准的物理值。考虑了几个数值例子来评估受到平面内或平面外载荷的壳结构的断裂行为。使用所提出的方法可以有效地处理域边界或裂纹表面附近的 PD 表面效应。此外，