Abstract

The paper reports on a dynamic finite element simulation of the propagation of longitudinal elastic waves in cylindrical plates and Pochhammer waves in rods. The simulation shows that in cylindrical specimens of compact shape, a single longitudinal wave first propagates till unloading waves from their lateral surfaces start to interact, and then, two types of longitudinal elastic waves propagate at a time. In rods, first comes a longitudinal elastic wave, and then, two concurrent waves—a longitudinal elastic wave and a Pochhammer wave—due to the effect of unloading from their lateral surfaces. With the example of aluminum, it is demonstrated in which range of geometric parameters the elastic properties of near-compact specimens cannot be analyzed by ultrasonic methods.

中文翻译：

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纵向弹性波到波赫默波的变换

摘要

该论文报道了圆柱板中纵向弹性波和棒中 Pochhammer 波传播的动态有限元模拟。模拟结果表明，在致密的圆柱形试件中，单个纵波首先传播，直至其侧面的卸载波开始相互作用，然后同时传播两种纵弹性波。在杆中，首先出现纵向弹性波，然后由于侧面卸载的影响，出现两个并发波——纵向弹性波和波赫默波。以铝为例，证明了在哪些几何参数范围内，近紧致试样的弹性特性无法通过超声波方法进行分析。