Transient modeling of ultrasonic guided waves in circular viscoelastic waveguides for inverse material characterization
Transient modeling of ultrasonic guided waves in circular viscoelastic waveguides for inverse material characterization
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DOI：
10.1088/0957-0233/26/9/095602
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发表时间：
2015-09-01
影响因子：
2.4
通讯作者：
Henning, Bernd
中科院分区：
文献类型：
--
作者：
Bause, Fabian;Gravenkamp, Hauke;Henning, Bernd
在这方面的贡献，我们提出了一个有效的方法，在超声材料表征的背景下，在粘弹性圆柱形波导导波的瞬态和时间因果建模。我们使用比例边界有限元法（SBFEM）的相速度色散的有效计算。关于所考虑的材料的粘弹性行为，我们提出了一种分解方法，认为（粘）弹性模量的实值频率依赖性，并分别，其衰减。利用模态展开法，将发射换能器和接收换能器考虑在内，并将激发的波导模式通过有限长度的波导进行传播。所提出的仿真模型的有效性与标准的瞬态有限元仿真以及基于复值粘弹性导波问题的精确解的仿真结果进行比较。两种材料模型进行了讨论，即分数齐纳模型和反齐纳模型，我们重新解释后者的瑞利阻尼模型。对聚丙烯样品进行了测量，并将所提出的瞬态模拟模型用于逆材料表征。然后，提取的材料特性可以用于超声系统的计算机辅助设计。
In this contribution, we present an efficient approach for the transient and time-causal modeling of guided waves in viscoelastic cylindrical waveguides in the context of ultrasonic material characterization. We use the scaled boundary finite element method (SBFEM) for efficient computation of the phase velocity dispersion. Regarding the viscoelastic behavior of the materials under consideration, we propose a decomposition approach that considers the real-valued frequency dependence of the (visco-) elastic moduli and, separately, of their attenuation. The modal expansion approach is utilized to take the transmitting and receiving transducers into account and to propagate the excited waveguide modes through a waveguide of finite length. The effectiveness of the proposed simulation model is shown by comparison with a standard transient FEM simulation as well as simulation results based on the exact solution of the complex-valued viscoelastic guided wave problem. Two material models are discussed, namely the fractional Zener model and the anti-Zener model; we re-interpret the latter in terms of the Rayleigh damping model. Measurements are taken on a polypropylene sample and the proposed transient simulation model is used for inverse material characterization. The extracted material properties may then be used in computer-aided design of ultrasonic systems.