TY - JOUR
T1 - Spectral ratios for crack detection using P and Rayleigh waves
AU - Olivera-Villasenor, Enrique
AU - Flores-Guzmán, Norberto
AU - Pineda-León, Ernesto
AU - Núnez-Farfán, Jaime
AU - Carbajal-Romero, Manuel
AU - Rodríguez-Castellanos, Alejandro
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84866092043&partnerID=8YFLogxK
U2 - 10.1155/2012/525431
DO - 10.1155/2012/525431
M3 - Artículo
SN - 1110-757X
VL - 2012
JO - Journal of Applied Mathematics
JF - Journal of Applied Mathematics
M1 - 525431
ER -