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A higher-order stress point method for non-ordinary state-based peridynamics
Engineering Analysis With Boundary Elements ( IF 3.3 ) Pub Date : 2020-05-19 , DOI: 10.1016/j.enganabound.2020.03.016
Hao Cui , Chunguang Li , Hong Zheng

A higher-order stress point method for non-ordinary state-based peridynamic (NOSB-PD) is presented. The stress point is interpolated by its adjacent original nodes, where the second-order peridynamic derivatives are determined according to the peridynamic differential operator. By introducing the higher-order derivatives, the proposed stress point method could efficiently suppress the zero-energy mode oscillations. In contrast to other available control methods, the stress point method has better accuracy and stability, and much fewer period elongations in the dynamic calculation. More importantly, the method does not require any additional parameters and it can mitigate the errors arising from the surface effect as well. Furthermore, the proposed method can easily solve the discontinuities problems since it leverages the non-local property of the NOSB-PD. As demonstrated in the last two examples, the phenomena of crack propagation and branching are successfully captured by the proposed stress point method.



中文翻译:

基于非常规状态的绕动力学的高阶应力点法

提出了一种基于非常规状态的周向动力学(NOSB-PD)的高阶应力点方法。应力点由其相邻的原始节点进行插值,在该节点上,根据周动力微分算子确定了二阶周动力导数。通过引入高阶导数,所提出的应力点方法可以有效地抑制零能量模式的振荡。与其他可用的控制方法相比,应力点方法具有更好的精度和稳定性,并且动态计算中的周期延长要少得多。更重要的是,该方法不需要任何其他参数,并且还可以减轻由表面效应引起的误差。此外,该方法利用了NOSB-PD的非局部特性,因此可以轻松解决不连续性问题。如后两个示例所示,通过提出的应力点方法成功地捕获了裂纹扩展和分支的现象。

更新日期:2020-05-19
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