dor_id: 41410

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650.#.4.x: Físico Matemáticas y Ciencias de la Tierra

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336.#.#.3: Artículo de Investigación

336.#.#.a: Artículo

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351.#.#.a: Artículos

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856.4.0.u: https://rmf.smf.mx/ojs/rmf/article/view/3542/3509

100.1.#.a: Rodríguez Castellanos, A.; Avila Carrera, R.; Sánchez Sesma, F.

524.#.#.a: Rodríguez Castellanos, A., et al. (2007). Scattering of elastic waves by shallow elliptical cracks. Revista Mexicana de Física; Vol 53, No 4: 254-0. Recuperado de https://repositorio.unam.mx/contenidos/41410

245.1.0.a: Scattering of elastic waves by shallow elliptical cracks

502.#.#.c: Universidad Nacional Autónoma de México

561.1.#.a: Facultad de Ciencias, UNAM

264.#.0.c: 2007

264.#.1.c: 2007-01-01

653.#.#.a: Elastic waves; diffraction; shallow cracks; elliptical cracks

506.1.#.a: La titularidad de los derechos patrimoniales de esta obra pertenece a las instituciones editoras. Su uso se rige por una licencia Creative Commons BY-NC-ND 4.0 Internacional, https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.es, fecha de asignación de la licencia 2007-01-01, para un uso diferente consultar al responsable jurídico del repositorio por medio de rmf@ciencias.unam.mx

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001.#.#.#: oai:ojs.rmf.smf.mx:article/3542

041.#.7.h: eng

520.3.#.a: Comprehensive studies in engineering have dealt with diffraction phenomena in unbounded elastic domains containing cracks, while some others have been carried out to investigate diffraction by discontinuities located near a free surface. In this last case, the presence of cracks significantly affects wave motion and, in some cases, large resonant peaks may appear. In order to study these resonant peaks and describe how they respond, we propose the use of the Indirect Boundary Element Method to simulate 2D scattering of elastic P- and SV-waves. The geometry considered for the cracks is elliptical, but in some cases comparison of its behavior is made with that of planar cracks or cavities. This method establishes a system of integral equations that allows us to compute the diffracted displacement and traction fields. We present our results in the frequency domain. In the case of planar cracks located near the free surface, we validate the method by comparing our results to those of a previously published study. We develop examples of various elliptical crack configurations to show resonance effects, where one can observe important variations in the resonance peaks in the frequency domain. The results shown here can be used to detect the presence of subsurface cracks. Nevertheless, it is difficult to determine the shape (planar or elliptical) of the discontinuity that is embedded in the halfspace.

773.1.#.t: Revista Mexicana de Física; Vol 53, No 4 (2007): 254-0

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046.#.#.j: 2020-11-25 00:00:00.000000

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handle: 7a2ea16991da57d7

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Artículo

Scattering of elastic waves by shallow elliptical cracks

Rodríguez Castellanos, A.; Avila Carrera, R.; Sánchez Sesma, F.

Facultad de Ciencias, UNAM, publicado en Revista Mexicana de Física, y cosechado de Revistas UNAM

Licencia de uso

Procedencia del contenido

Entidad o dependencia
Facultad de Ciencias, UNAM
Revista
Repositorio
Contacto
Revistas UNAM. Dirección General de Publicaciones y Fomento Editorial, UNAM en revistas@unam.mx

Cita

Rodríguez Castellanos, A., et al. (2007). Scattering of elastic waves by shallow elliptical cracks. Revista Mexicana de Física; Vol 53, No 4: 254-0. Recuperado de https://repositorio.unam.mx/contenidos/41410

Descripción del recurso

Autor(es)
Rodríguez Castellanos, A.; Avila Carrera, R.; Sánchez Sesma, F.
Tipo
Artículo de Investigación
Área del conocimiento
Físico Matemáticas y Ciencias de la Tierra
Título
Scattering of elastic waves by shallow elliptical cracks
Fecha
2007-01-01
Resumen
Comprehensive studies in engineering have dealt with diffraction phenomena in unbounded elastic domains containing cracks, while some others have been carried out to investigate diffraction by discontinuities located near a free surface. In this last case, the presence of cracks significantly affects wave motion and, in some cases, large resonant peaks may appear. In order to study these resonant peaks and describe how they respond, we propose the use of the Indirect Boundary Element Method to simulate 2D scattering of elastic P- and SV-waves. The geometry considered for the cracks is elliptical, but in some cases comparison of its behavior is made with that of planar cracks or cavities. This method establishes a system of integral equations that allows us to compute the diffracted displacement and traction fields. We present our results in the frequency domain. In the case of planar cracks located near the free surface, we validate the method by comparing our results to those of a previously published study. We develop examples of various elliptical crack configurations to show resonance effects, where one can observe important variations in the resonance peaks in the frequency domain. The results shown here can be used to detect the presence of subsurface cracks. Nevertheless, it is difficult to determine the shape (planar or elliptical) of the discontinuity that is embedded in the halfspace.
Tema
Elastic waves; diffraction; shallow cracks; elliptical cracks
Idioma
eng
ISSN
2683-2224 (digital); 0035-001X (impresa)

Enlaces