Vishnuvardhan J, Krishnamurthy C V, Balasubramaniam Krishnan
Department of Mechanical Engineering, Center for Nondestructive Evaluation, Indian Institute of Technology, Chennai, India.
J Acoust Soc Am. 2009 Feb;125(2):761-71. doi: 10.1121/1.3050253.
A novel blind inversion method using Lamb wave S(0) and A(0) mode velocities is proposed for the complete determination of elastic moduli, material symmetries, as well as principal plane orientations of anisotropic plates. The approach takes advantage of genetic algorithm, introduces the notion of "statistically significant" elastic moduli, and utilizes their sensitivities to velocity data to reconstruct the elastic moduli. The unknown material symmetry and the principal planes are then evaluated using the method proposed by Cowin and Mehrabadi [Q. J. Mech. Appl. Math. 40, 451-476 (1987)]. The blind inversion procedure was verified using simulated ultrasonic velocity data sets on materials with transversely isotropic, orthotropic, and monoclinic symmetries. A modified double ring configuration of the single transmitter and multiple receiver compact array was developed to experimentally validate the blind inversion approach on a quasi-isotropic graphite-epoxy composite plate. This technique finds application in the area of material characterization and structural health monitoring of anisotropic platelike structures.
提出了一种利用兰姆波S(0)和A(0)模式速度的新型盲反演方法，用于全面确定各向异性板的弹性模量、材料对称性以及主平面方向。该方法利用遗传算法，引入“统计显著”弹性模量的概念，并利用它们对速度数据的敏感性来重建弹性模量。然后使用Cowin和Mehrabadi [《皇家学会季刊A辑：数学、物理和工程科学》40, 451 - 476 (1987)]提出的方法评估未知的材料对称性和主平面。使用具有横向各向同性、正交各向异性和单斜对称性材料的模拟超声速度数据集验证了盲反演过程。开发了一种单发射器和多接收器紧凑阵列的改进双环配置，以在准各向同性石墨 - 环氧复合板上通过实验验证盲反演方法。该技术在各向异性板状结构的材料表征和结构健康监测领域具有应用价值。
