Guided ultrasonic wave based structural health monitoring has been of interest over decades. However, the influence of pre-stress states on the propagation of Lamb waves in thin-walled structures is not fully covered, yet. So far experimental work presented in the literature only focuses on a few individual frequencies, which does not allow a comprehensive verification of the numerous numerical investigations. Furthermore, most work is based on the strain-energy density function by Murnaghan. To validate the common modeling approach and to investigate the suitability of other non-linear strain-energy density functions an extensive experimental and numerical investigation covering a large frequency range is presented here. The numerical simulation comprises the use of the Neo-Hooke as well as the Murnaghan material model. It is found that these two material models show qualitatively similar results. Furthermore, the comparison with the experimental results reveals, that the Neo-Hooke material model reproduces the effect of pre-stress on the difference in the Lamb wave phase velocity very well in most cases. For the $A_0$ wave mode at higher frequencies, however, the sign of this difference is only correctly predicted by the Murnaghan model. In contrast to this the Murnaghan material model fails to predict the sign change for the $S_0$ wave mode.

翻译：基于导波的超声结构健康监测技术已历经数十年的发展，然而预应力状态对薄壁结构中兰姆波传播规律的影响尚未得到充分研究。目前文献中报道的实验工作仅局限于少数离散频率，无法对大量数值研究进行系统性验证。此外，现有研究大多采用Murnaghan应变能密度函数。为验证通用建模方法的有效性并探究其他非线性应变能密度函数的适用性，本文开展了覆盖宽频范围的大规模实验与数值研究。数值模拟分别采用Neo-Hooke与Murnaghan材料模型，结果表明这两种材料模型在定性上呈现相似特征。通过与实验数据的对比发现，Neo-Hooke模型在多数情况下能精准复现预应力对兰姆波相速度差异的影响。但对于高频$A_0$波模态，仅Murnaghan模型可正确预测该差异的符号；相比之下，Murnaghan模型在预测$S_0$波模态的符号变化时出现失效。