论文标题
非球形视野的扩展的普通基于状态的Peridynemics
An extended ordinary state-based peridynamics for non-spherical horizons
论文作者
论文摘要
这项工作为非球形视野提供了扩展的普通基于状态的Peridyanic（XOSBPD）模型。基于OSBPD，我们通过引入Lagrange乘数来得出XOSBPD，以确保非本地扩张和非本地应变能密度（SED）分别等于局部扩张和局部SED。在此公式中，XOSBPD消除了球形视野的局限性，适合任意地平线形状。此外，提出的XOSBPD不需要体积和表面校正，并且允许具有各种范围大小的非均匀离散化实现。三个经典示例证明了复杂动力学断裂分析的准确性和能力。提出的方法提供了有效的工具，并深入了解了结构组件和固体材料的故障机理。
This work presents an extended ordinary state-based peridynamics (XOSBPD) model for the non-spherical horizons. Based on the OSBPD, we derive the XOSBPD by introducing the Lagrange multipliers to guarantee the non-local dilatation and non-local strain energy density (SED) are equal to local dilatation and local SED, respectively. In this formulation, the XOSBPD removes the limitation of spherical horizons and is suitable for arbitrary horizon shapes. In addition, the presented XOSBPD does not need volume and surface correction and allows non-uniform discretization implementation with various horizon sizes. Three classic examples demonstrate the accuracy and capability for complex dynamical fracture analysis. The proposed method provides an efficient tool and in-depth insight into the failure mechanism of structure components and solid materials.
