The peridynamic bond-associated material correspondence model is a reformulation of the conventional correspondence model, in which the concept of bond-associated states were introduced to inherently remove the material instability. Numerical studies, in terms of deformation analysis, have shown the effectiveness of the bond-associated model in removing the material instability. In this study, the bond-associated model is further examined concerning its wave dispersion property. Detailed procedure to derive the wave dispersion relation in this model is outlined. Different combinations of the peridynamic material point horizon and the bond-associated horizon are studied for all three geometric dimensions. Potential effects of weight function on the wave dispersion property are also investigated. It is found that the bond-associated material correspondence model can effectively remove the material instability for practical applications. However, for all one-dimensional cases studied, except the conventional model, the initial slopes of all the wave dispersion curves are slightly larger than that predicted by the classical continuum mechanics model. For two-dimensional analysis, material instability still exists for the combination of the peridynamic material point horizon being twice of the mesh spacing and the bond-associated horizon being three times of mesh spacing. But compared to the conventional model, the material instability for this case was slightly improved as the intersections of the wave dispersion curve with the wavenumber axis were reduced from two to one. For the three representative weight functions studied, it is found that the weight function does not significantly change the wave dispersion relation in the bond-associated material correspondence model, except for the one-dimensional cases.

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近场动力学键相关对应模型：波色散特性

近场动力学键相关材料对应模型是对传统对应模型的重新表述，其中引入了键相关状态的概念来固有地消除材料不稳定性。就变形分析而言，数值研究表明了键相关模型在消除材料不稳定性方面的有效性。在这项研究中，债券相关模型进一步研究了其波色散特性。概述了在该模型中导出波色散关系的详细程序。针对所有三个几何维度研究了近场动力学物质点视界和键相关视界的不同组合。还研究了权重函数对波色散特性的潜在影响。发现键相关材料对应模型可以有效地消除实际应用中的材料不稳定性。然而，对于研究的所有一维情况，除常规模型外，所有波频散曲线的初始斜率均略大于经典连续介质力学模型预测的斜率。对于二维分析，对于近场动力学材料点层位为网格间距的两倍和与键相关的层位为网格间距的三倍的组合，材料不稳定性仍然存在。但与传统模型相比，这种情况下的材料不稳定性略有改善，因为波频散曲线与波数轴的交点从两个减少到一个。对于研究的三个代表性权重函数，