论文标题

弹性传输本征函数的光谱模式:边界定位,表面共振和应力浓度

Spectral patterns of elastic transmission eigenfunctions: boundary localisation, surface resonance and stress concentration

论文作者

Jiang, Yan, Liu, Hongyu, Zhang, Jiachuan, Zhang, Kai

论文摘要

我们介绍了有关弹性传播征函数频谱模式的新发现的全面研究,包括边界定位,表面共振和应力浓度。在域是径向并且潜在参数是恒定的情况下,我们给出严格的理由并获得对那些有趣的几何和物理模式的彻底理解。我们还提供了数值示例,以验证一般几何和参数设置中相同的结果是否存在。

We present a comprehensive study of new discoveries on the spectral patterns of elastic transmission eigenfunctions, including boundary localisation, surface resonance, and stress concentration. In the case where the domain is radial and the underlying parameters are constant, we give rigorous justifications and derive a thorough understanding of those intriguing geometric and physical patterns. We also present numerical examples to verify that the same results hold in general geometric and parameter setups.

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