Abstract
This paper presents a modified boundary element method (BEM) to solve the scattering problem of Love surface wave from a two-dimensional cavity defect. Because of the truncation of BEM models at a far distance from the cavity, spurious reflected waves are generated. In order to eliminate the unwanted reflections, the guided Love-wave displacement patterns are assumed on the far-field infinite boundaries previously omitted by model truncation, and they are incorporated into the BEM equation set as modified items. The numerical results are verified by theoretical solutions of far-field Green’s functions. Additional parametric studies are performed to find out the influence of truncation distance and defects’ geometric characters on the accuracy of scattered wave solutions.
Highlights
The ultrasonic nondestructive testing (NDT) techniques have wide applications for quantitative characterizations of mechanical properties and detection and characterization of cracks and defects
The guided Love-wave displacement patterns are assumed on the far-field infinite boundaries previously omitted, and they are incorporated into boundary element method (BEM) equation sets as the modified items
The numerical results obtained by the modified BEM will be compared with theoretical far-field Green’s functions
Summary
The ultrasonic nondestructive testing (NDT) techniques have wide applications for quantitative characterizations of mechanical properties and detection and characterization of cracks and defects. In traditional BEM approaches, due to the inevitable artificial truncation of BEM model, spurious reflected waves are introduced in the final results of scattered wave field, which causes considerable error Another big challenge to solve the scattering problem is the existence of multiple dispersive modes of Love-waves at a certain frequency along with the modal conversion, due to the interaction at the damage location. The guided Love-wave displacement patterns are assumed on the far-field infinite boundaries previously omitted, and they are incorporated into BEM equation sets as the modified items. With this improvement, the spurious reflected waves are eliminated. Various parametric studies of the influence of defect locations and geometrical shapes and size on the calculations of Love-wave scattered fields are carried out in the later sections, which have potential values for investigating forward problem or inverse problem of flaw reconstruction based on surface waves
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