Abstract
This work considers the determination of cracks with the time domain elastodynamic boundary integral equation method (BIEM) in laser-ultrasonic non-destructive evaluation problems. We carry out an inverse problem to determine the thermally expanded source from the measured velocimetory waveform data using Green's function of heat conduction problems and that of elastodynamics. With the thermally expanded source thus determined, we can calculate the laser generated elastic wave field numerically using the time domain BIEM. We then represent the unknown crack in the material with shape parameters and compute the normal velocities on the surface of the test piece with BIEM. The shape parameters of the crack are determined by a comparison between the computed waveforms and the corresponding measured data at the measuring points. We show that we can determine the shape and the position of the surface crack in the test piece made of aluminum alloy accurately using time domain BIEM and real data obtained in a laser-ultrasonics measurement.
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