Spectral Ratios for Crack Detection Using P and Rayleigh Waves
| Autor: | Manuel Carbajal-Romero, Norberto Flores-Guzmán, Jaime Núñez-Farfán, Alejandro Rodríguez-Castellanos, Ernesto Pineda-León, E. Olivera-Villaseñor |
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| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Field (physics)
Article Subject Applied Mathematics lcsh:Mathematics Mathematical analysis lcsh:QA1-939 Resonance (particle physics) Integral equation Physics::Geophysics symbols.namesake Gaussian elimination Frequency domain symbols Boundary value problem Rayleigh scattering Rayleigh wave Mathematics |
| Zdroj: | Journal of Applied Mathematics, Vol 2012 (2012) J. Appl. Math. |
| ISSN: | 1110-757X |
| DOI: | 10.1155/2012/525431 |
| Popis: | We obtain numerical results to help the detection and characterization of subsurface cracks in solids by the application of P and Rayleigh elastic waves. The response is obtained from boundary integral equations, which belongs to the field of elastodynamics. Once the implementation of the boundary conditions has been done, a system of Fredholm integral equations of the second kind and order zero is found. This system is solved using the method of Gaussian elimination. Resonance peaks in the frequency domain allow us to infer the presence of cracks using spectral ratios. Several models of cracked media were analyzed, where effects due to different crack orientations and locations were observed. The results obtained are in good agreement with those published in the references. |
| Databáze: | OpenAIRE |
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