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Wave propagation improvement in two-dimensional bond-based peridynamics model
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science ( IF 1.8 ) Pub Date : 2021-01-20 , DOI: 10.1177/0954406220985551
Reza Alebrahim 1 , Pawel Packo 2 , Mirco Zaccariotto 1 , Ugo Galvanetto 1
Affiliation  

In this study, methods to mitigate anomalous wave propagation in 2-D Bond-Based Peridynamics (PD) are presented. Similarly to what happens in classical non-local models, an irregular wave transmission phenomenon occurs at high frequencies. This feature of the dynamic performance of PD, limits its potential applications. A minimization method based on the weighted residual point collocation is introduced to substantially extend the frequency range of wave motion modeling. The optimization problem, developed through inverse analysis, is set up by comparing exact and numerical dispersion curves and minimizing the error in the frequency-wavenumber domain. A significant improvement in the wave propagation simulation using Bond-Based PD is observed.



中文翻译:

基于二维键的绕动力学模型中的波传播改进

在这项研究中,提出了减轻基于2-Bond-based Peridynamics(PD)的异常波传播的方法。与经典非局部模型中发生的情况类似,在高频处会出现不规则的波传输现象。PD动态性能的这一功能限制了其潜在的应用。引入了基于加权残差点配置的最小化方法,以充分扩展波动建模的频率范围。通过对精确和数值色散曲线进行比较并最小化频率-波数域中的误差来建立通过反分析得出的优化问题。观察到在使用基于键合的局部放电的波传播模拟中的重大改进。

更新日期:2021-01-20
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