The Ohio State University, Department of Materials Science and Engineering, Edison Joining Technology Center, 1248 Arthur E. Adams Dr., Columbus, OH 43221, USA.
Ultrasonics. 2011 Apr;51(3):303-9. doi: 10.1016/j.ultras.2010.10.002. Epub 2010 Oct 16.
Attenuation coefficients for longitudinal and transverse ultrasonic waves are obtained in explicit form for untextured hexagonal polycrystalline materials. The equations obtained are easy to use for interpretation and evaluation of experimental results for ultrasonic characterization of microstructures. The attenuation coefficients are separated into two terms, corresponding to incident wave scattering into longitudinal and transverse waves. It is shown that the general expressions for attenuation coefficients in the long wavelength (Rayleigh) and short wavelength (stochastic) regimes transit to the known classical asymptotics. Simple equations to estimate the frequency range of the transition from the Rayleigh to stochastic regimes are also given. An example of experimental measurements in Ti alloy is provided to illustrate application of the model; the results show reasonable agreement between the experiment and the model with no adjustable parameters.
各向同性六方多晶材料中纵向和横向超声波衰减系数的显式表达式。这些方程易于用于解释和评估超声微结构特征化的实验结果。衰减系数分为两个项，分别对应于入射波散射为纵向波和横向波。结果表明，在长波长（瑞利）和短波长（随机）区域的衰减系数的一般表达式转换为已知的经典渐近线。还给出了估计从瑞利到随机区域的过渡频率范围的简单方程。提供了 Ti 合金的实验测量示例来说明模型的应用；结果表明，实验与模型之间没有可调参数，具有合理的一致性。
