论文标题
具有非统一地平线的微极性植物学模型，可损害具有不同非本地效应的固体
A micropolar peridynamics model with non-unified horizon for damage of solids with different non-local effects
论文作者
论文摘要
大多数植物动力学模型都采用定期分配和统一的视野，从而限制了它们的灵活性和工程应用。在这项工作中，提出了一种非自义平线（NHPD）的微极性植物学方法。这种方法使用基于元素的离散化在常规有限元框架中实现。通过将双层方法修改为预处理部分，建立了依赖点的视野和非统一光束样键。通过实施域校正策略，可以确保应变能密度的等效性。然后，提出了一种新型的基于能量密度的故障标准，直接将临界拉伸桥接到机械强度。数值结果表明NHPD的弱网格依赖性以及新的故障标准的有效性。此外，事实证明，具有不同非本地效应的固体损害只能通过调整机械强度来导致相似的结果。
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.
