Most peridynamics models adopt regular point distribution and unified horizon, limiting their flexibility and engineering applications. In this work, a micropolar peridynamics approach with non-unified horizon (NHPD) is proposed. This approach is implemented in a conventional finite element framework, using element-based discretization. By modifying the dual horizon approach into the pre-processing part, point dependent horizon and non-unified beam-like bonds are built. By implementing a domain correction strategy, the equivalence of strain energy density is assured. Then, a novel energy density-based failure criterion is presented which directly bridges the critical stretch to the mechanical strength. The numerical results indicate the weak mesh dependency of NHPD and the effectiveness of the new failure criterion. Moreover, it is proven that damage of solid with different non-local effects can lead to similar results by only adjusting the mechanical strength.

中文翻译：

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具有不同非局域效应的固体损伤的非统一视界微极近场动力学模型

大多数近场动力学模型采用规则的点分布和统一的视野，限制了它们的灵活性和工程应用。在这项工作中，提出了一种具有非统一视界 (NHPD) 的微极近场动力学方法。这种方法是在传统的有限元框架中实现的，使用基于元素的离散化。通过将双视界方法修改到预处理部分，建立点相关视界和非统一梁状键。通过实施域校正策略，确保了应变能密度的等效性。然后，提出了一种新的基于能量密度的失效准则，该准则直接将临界拉伸与机械强度联系起来。数值结果表明 NHPD 的弱网格依赖性和新失效准则的有效性。而且，