不同非局部效应下固体损伤的非统一视界微极周波模型
A micropolar peridynamics model with non-unified horizon for damage of solids with different non-local effects
摘要：
大多数周期波动模型采用规则的点分布和统一的层位，限制了其灵活性和工程应用。在这项工作中，提出了一个微极周波方法与非统一的地平线（NHPD）。这种方法是在一个传统的有限元框架，使用基于元素的离散化。通过将双水平线方法引入到预处理部分，建立了点相关水平线和非统一梁状键。通过实施域修正策略，保证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破坏准则，该准则直接将临界拉伸与机械强度联系起来。数值结果表明了NHPD的弱网格依赖性和新的失效准则的有效性。此外，还证明了在不同的非局部效应下，仅通过调整机械强度就可以得到相似的结果。
英文摘要：
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.
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