Abstract
This work is aimed to obtain numerical results that allow the detection and characterization of subsurface discontinuities in metallic materials by the application of Rayleigh compression and shear elastic waves. The solution is obtained from boundary integral equations, which belong to the field of elasto-dynamics. Subsequent to the implementation of the boundary conditions, a system of Fredholm's integral equation of second kind and zero order is obtained in frequency domain, which is solved using the method of Gaussian elimination. Resonance peaks arise from analysis in frequency domain allowing inferring the presence of discontinuities. Aluminum, copper, steel, molybdenum, titanium and tungsten materials were analyzed, however, a greater emphasis on the steel properties was considered due to its extended use. Results obtained are in agreement with those published in references.

Key words
crack detection, elastic waves, Rayleigh's waves, discontinuities, boundary element method

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