Diffraction of SH cylindrical waves by a finite crack: an analytical solution

P>A new analytic solution for the problem of a line source of harmonic SH waves that struck a finite 2-D plane crack is introduced. This construct is based on Macdonald's solution for the problem of cylindrical acoustic waves diffracted by a wedge. We consider this approach, since special ca...

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Detalles Bibliográficos
Autores: Iturraran-Viveros, U, Vai, R, Sánchez-Sesma, FJ
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2010
País:México
Institución:Universidad Nacional Autónoma de México
Repositorio:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/843
Acceso en línea:http://hdl.handle.net/11154/13982743
Access Level:acceso abierto
Palabra clave:Geochemistry & Geophysics
Theoretical seismology
Wave scattering and diffraction
Wave propagation
Fractures and faults
Descripción
Sumario:P>A new analytic solution for the problem of a line source of harmonic SH waves that struck a finite 2-D plane crack is introduced. This construct is based on Macdonald's solution for the problem of cylindrical acoustic waves diffracted by a wedge. We consider this approach, since special cases of wedges include semi-infinite cracks. The finite crack is assembled by superimposing the effects of two semi-infinite cracks. The new solution is obtained by taking into account diffracted waves generated at the edges travelling along the faces of the crack. Repeated wave fields that result from fitting the two cracks are removed. Comparisons with the results obtained with the Indirect Boundary Element Method (IBEM) are shown. Both frequency and time domain cases are included.