Spectral Ratios for Crack Detection Using P and Rayleigh Waves
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 c...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/525431 |
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| author | Enrique Olivera-Villaseñor Norberto Flores-Guzmán Ernesto Pineda-León Jaime Núñez-Farfán Manuel Carbajal-Romero Alejandro Rodríguez-Castellanos |
| author_facet | Enrique Olivera-Villaseñor Norberto Flores-Guzmán Ernesto Pineda-León Jaime Núñez-Farfán Manuel Carbajal-Romero Alejandro Rodríguez-Castellanos |
| author_sort | Enrique Olivera-Villaseñor |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8ed341e1b79a424cbc6bf78a82ebf419 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8ed341e1b79a424cbc6bf78a82ebf4192025-02-03T01:31:26ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/525431525431Spectral Ratios for Crack Detection Using P and Rayleigh WavesEnrique Olivera-Villaseñor0Norberto Flores-Guzmán1Ernesto Pineda-León2Jaime Núñez-Farfán3Manuel Carbajal-Romero4Alejandro Rodríguez-Castellanos5Instituto Mexicano del Petróleo, Eje Central Lázaro Cárdenas 152, Gustavo A. Madero, 07730 México, DF, MexicoCentro de Investigación en Matemáticas, Jalisco s/n, Mineral de Valenciana, 36240 Guanajuato, GTO, MexicoInstituto Politécnico Nacional, Escuela Superior de Ingeniería y Arquitectura, UP Zacatenco, 07738 México, DF, MexicoInstituto Mexicano del Petróleo, Eje Central Lázaro Cárdenas 152, Gustavo A. Madero, 07730 México, DF, MexicoInstituto Politécnico Nacional, Escuela Superior de Ingeniería Mecánica y Eléctrica, UP Azcapotzalco, 02250 México, DF, MexicoInstituto Mexicano del Petróleo, Eje Central Lázaro Cárdenas 152, Gustavo A. Madero, 07730 México, DF, MexicoWe 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.http://dx.doi.org/10.1155/2012/525431 |
| spellingShingle | Enrique Olivera-Villaseñor Norberto Flores-Guzmán Ernesto Pineda-León Jaime Núñez-Farfán Manuel Carbajal-Romero Alejandro Rodríguez-Castellanos Spectral Ratios for Crack Detection Using P and Rayleigh Waves Journal of Applied Mathematics |
| title | Spectral Ratios for Crack Detection Using P and Rayleigh Waves |
| title_full | Spectral Ratios for Crack Detection Using P and Rayleigh Waves |
| title_fullStr | Spectral Ratios for Crack Detection Using P and Rayleigh Waves |
| title_full_unstemmed | Spectral Ratios for Crack Detection Using P and Rayleigh Waves |
| title_short | Spectral Ratios for Crack Detection Using P and Rayleigh Waves |
| title_sort | spectral ratios for crack detection using p and rayleigh waves |
| url | http://dx.doi.org/10.1155/2012/525431 |
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