School of Traffic and Transportation Engineering, Central South University, No. 22, Shaoshan South Road, Changsha, 410075, Hunan, China; Department of Civil and Environmental Engineering, University of Nebraska-Lincoln, 1110 S 67th St., Omaha, 68182, NE, USA.
Department of Civil and Environmental Engineering, University of Nebraska-Lincoln, 1110 S 67th St., Omaha, 68182, NE, USA.
Ultrasonics. 2023 May;131:106948. doi: 10.1016/j.ultras.2023.106948. Epub 2023 Feb 6.
Previous studies showed that the thermally-induced ultrasonic bulk wave velocity change could be used to measure acoustoelastic coefficients and third-order elastic constants of elastic materials. This method is naturally immune from the ambient temperature effect and has improved sensitivity and a simpler test setup than the conventional acoustoelastic test. However, Rayleigh wave is preferred for thick components or structures with only one accessible surface. In this work, the thermo-hyperelastic constitutive equation, along with acoustoelastic theory, is used to derive the expression of the thermo-acoustoelastic coefficient (TAEC) of Rayleigh wave. The numerical relationship between the TAEC of Rayleigh wave and Murnaghan constants (l, m and n) are given for common metals. The TAEC expressions for Rayleigh wave and shear wave are similar, and both are dominated by the constant m. The TAEC of Rayleigh wave was measured on an aluminum 6061 specimen using the thermal modulation experiment in a temperature range of 22 ∼35 °C. The measured TAEC shows good agreement with the theoretical calculation. Then the third-order elastic constants were calculated based on TAECs of bulk waves and Rayleigh wave.
先前的研究表明,热致超声体波速度变化可用于测量弹性材料的声弹性系数和三阶弹性常数。与传统的声弹性测试相比,该方法自然不受环境温度的影响,具有更高的灵敏度和更简单的测试设置。然而,对于只有一个可接触表面的厚部件或结构,通常更喜欢使用瑞利波。在这项工作中,我们使用热超弹性本构方程和声弹性理论,推导出瑞利波声弹性系数(TAEC)的表达式。给出了常见金属的瑞利波 TAEC 与 Murnaghan 常数(l、m 和 n)之间的数值关系。瑞利波和切变波的 TAEC 表达式相似,都主要由常数 m 主导。在 22∼35°C 的温度范围内,使用热调制实验在 6061 铝合金试件上测量了瑞利波 TAEC。测量得到的 TAEC 与理论计算吻合较好。然后,根据体波和瑞利波的 TAEC 计算了三阶弹性常数。