An element-based peridynamic (EBPD) model is developed to represent the Euler-Bernoulli beam. The force density is described by the two-node beam elements with three displacement and three rotation freedom degrees. The dynamic and static problems of the EBPD beam model are derived from Lagrangian formalism and variation principle, respectively. The Newmark and Gauss elimination methods are used to solve dynamic and static problems. The damage criterion expressed by the critical strain energy density is extended to the EBPD beam. Moreover, two different schemes of boundary conditions are discussed. Finally, various benchmark cases subjected to different loading and boundary conditions are used to validate the proposed EBPD beam model.

建立了基于元素的周边动力学（EBPD）模型来表示Euler-Bernoulli光束。力密度由具有三个位移和三个旋转自由度的两节点梁单元描述。EBPD梁模型的动态和静态问题分别来自拉格朗日形式主义和变化原理。Newmark和Gauss消除方法用于解决动态和静态问题。由临界应变能密度表示的损伤准则扩展到EBPD光束。此外，讨论了两种不同的边界条件方案。最后，使用经受不同载荷和边界条件的各种基准情况来验证所提出的EBPD梁模型。