论文标题

违反直觉导致声音弹性

Counter-intuitive results in acousto-elasticity

论文作者

Gower, Artur L., Destrade, Michel, Ogden, Ray W.

论文摘要

我们介绍了变形固体中人体波和表面波传播的示例,其中最慢的波和最快的波不会沿着最小和最大的拉伸方向传播。这些结果与最初各向同性固体中声音弹性原理的普遍接受理论,实践和实施相反。例如,我们发现在镍和钢中,最快的波是沿着最大压缩的方向,不是最大的延伸(对最慢的波),一旦这些固体变形,最慢的波浪。此外,我们发现,当某些材料遭受小但未有限​​的变形时,其他波速的极端速度出现在非主要方向上。例子包括镍,钢,聚苯乙烯和某些水凝胶。这些``倾斜''的存在的存在,非首脑极端波使方案变得复杂,以无损地确定极端菌株的方向。

We present examples of body wave and surface wave propagation in deformed solids where the slowest and the fastest waves do not travel along the directions of least and greatest stretch, respectively. These results run counter to commonly accepted theory, practice, and implementation of the principles of acousto-elasticity in initially isotropic solids. For instance we find that in nickel and steel, the fastest waves are along the direction of greatest compression, not greatest extension (and vice-versa for the slowest waves), as soon as those solids are deformed. Further, we find that when some materials are subject to a small-but-finite deformations, other extrema of wave speeds appear in non-principal directions. Examples include nickel, steel, polystyrene, and a certain hydrogel. The existence of these ``oblique'', non-principal extremal waves complicates the protocols for the non-destructive determination of the directions of extreme strains.

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