مقاله Indirect Boundary Element Method applied to fluid

خلاصه مقاله

In this paper scattering of elastic waves in fluid–solid interfaces is investigated. We use the Indirect Boundary Element Method to study this wave propagation phenomenon in 2D models. Three models are analyzed: a first one with an interface between two half-spaces, one fluid on the top part and the other solid in the bottom; a second model including a fluid half-space above a layered solid; and finally, a third model with a fluid layer bounded by two solid half-spaces. The source, represented by Hankel's function of the second kind, is always applied in the fluid. This indirect formulation can give to the analyst a deep physical insight on the generated diffracted waves because it is closer to the physical reality and can be regarded as a realization of Huygens' principle. In any event, mathematically it is fully equivalent to the classical Somigliana's representation theorem. In order to gauge accuracy we test our method by comparing with an analytical solution known as Discrete Wave Number. A near interface pulse generates scattered waves that can be registered by receivers located in the fluid and it is possible to infer wave velocities of solids. Results are presented in both time and frequency domain, where several aspects related to the different wave types that emerge from this kind of problems are pointed out.

نویسندگان

A. Rodríguez-Castellanos [ Instituto Mexicano del Petróleo, ingeniería civil, Eje Central Lázaro Cárdenas 152, Gustavo A Madero, México D.F., México ]

E. Flores [ Instituto Politécnico Nacional, Unidad Profesional ESIA Zacatenco, México D.F., México ]

F.J. Sánchez-Sesma [ Instituto de Ingeniería, UNAM, Circuito Escolar S/N, Coyoacán, México D.F., México ]

C. Ortiz-Alemán [ Instituto Mexicano del Petróleo, ingeniería civil, Eje Central Lázaro Cárdenas 152, Gustavo A Madero, México D.F., México ]

M. Nava-Flores [ Instituto Mexicano del Petróleo, ingeniería civil, Eje Central Lázaro Cárdenas 152, Gustavo A Madero, México D.F., México ]

کلمات کلیدی

Indirect Element applied interfaces

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مشاهده مقالات

Soil Dynamics and Earthquake Engineering 2011

The journal aims to encourage and enhance the role of mechanics and other disciplines as they relate to earthquake engineering by providing opportunities for the publication of the work of applied mathematicians, engineers and other applied scientists involved in solving problems closely related to the field of earthquake and geotechnical engineering. Emphasis is placed on new concepts and techniques, but case histories will also be published if they enhance the presentation and understanding of new technical concepts.

حوزه های تحت پوشش : Seismology and geology , Elastodynamics , Practical methods , geotechnical earthquake engineering