Numerical calculation and analysis of a plate crack scattering coefficient

Time Reversal Method TRM is now widely used in under water exploration, medical testing and on the structure of non-destructive testing. In theory, Iterative Time Reversal Process and Decomposition of Time Reversal Operator (D.O.R.T.) appear to solve many issues, simply are not only resolved by utilizing the time reversal method but also further expand the time reversal theory application scope. While using this process for time reversal, the cumbersome process of iterative experiments can be eliminated directly by the mathematical derivation obtained from the iteration results. This research will explore the application of the D.O.R.T. theory in analyzing the scattering coefficient related to the signal refracting off the cracked plate, along with the affect of repositioning the signal at different angle in retrospect to the crack on the plate. As one component of this simulation, the ANSYS finite element software is implemented to stimulate the plate structure and retrieve the signal transmitter. Writing MATLAB programs, processing applications along with outputting scattered patterns are inclusive with the signal analysis. Circular-shaped array transducers are used to calculate the various angles of the scattering coefficient, which we used to draw the scattered patterns. A characteristic chart is developed to differentiate the scattering characteristics of different size and shaped cracks. Based on this method a calculation of the scattering coefficient procedure in each direction can be established. Furthermore, the method may have a further contribution for non-destructive testing.