Tese: Time Reversal of Acoustoelastic Lamb Waves
Aluno(a) : Alan Conci KubruslyOrientador(a): Arthur Braga e Jean Pierre
Área de Concentração: Mecânica Aplicada
Data: 18/01/2016
Link para tese/dissertação: http://doi.org/10.17771/PUCRio.acad.38795
Resumo: The acoustoelasticity studies the variation of the elastic waves velocity in bodies subject to an initial stress state. The acoustoelastic theory consists of non-linear relationship between stress and strain that rules the dynamic response superimposed to the initial pre-deformation. The acoustoelastic theory applied to guided waves is a very new branch of study. The theoretical development of this theory for Lamb waves was completed in 2012, which enabled the calculation of velocity variation as a function of stress. Lamb waves are elastic waves that propagate in plates obeying the boundary conditions on the surface. These waves are a priori dispersive. Finite Element Method (FEM) is an useful tool for ultrasonic waves propagation analysis. In order to address the acoustoelastic effect employing FEM one can use the effective elastic constants. By these effective constants it is possible to assemble an equivalent anisotropic stiffness tensor, which can be the material stiffness input in commercial software. The time reversal process is a well-known method for obtaining focused acoustic waves in both time and space. In the case of Lamb waves, the use of time-reversed signals compensates the dispersion of each propagation mode, recompressing the wave and producing a focused signal at the reception position. In this thesis the new branch of acoustoelasticity for Lamb waves is thoroughly analyzed and its state of the art is reviewed. The possibility of using effective elastic constants for determination of the velocity dependence on stress and the errors in this approximation are investigated. The use of FEM in Ansysr is validated for single mode under uniaxial tensile stress. Then, the simulations of wideband multi-mode acoustoelastic Lamb waves is carried out in the numerical software, the time-reversal focusing ability is verified and the effect of uniaxial load on the focus is investigated. Finally, experiments were performed in an aluminum plate longitudinally loaded. The feasibility of using the time reversal focus characteristics in order to measure the strain is concluded and its limitations are pointed out.