Scholte waves on fluid-solid interfaces by means of an integral formulation |
| |
| Authors: | Manuel Carbajal-Romero Esteban Flores-Mendez Norberto Flores-Guzmán Jaime Núñez-Farfán Enrique Olivera-Villaseñor Francisco José Sánchez-Sesma |
| |
| Institution: | Instituto Politécnico Nacional, México D.F., México.;Centro de Investigación en Matemáticas, Jalisco s/n, Mineral de Valenciana, Guanajuato, México.;Instituto Mexicano del Petróleo, Eje Central Lázaro, Cárdenas 152, Gustavo A. Madero 07730, México D.F., México.;Instituto de Ingeniería, UNAM, Circuito Escolar s/n, Coyoacán 04510, México D.F., México. |
| |
| Abstract: | The present work shows the propagation of Scholte interface waves at the boundary of a fluid in contact with an elastic solid, for a broad range of solid materials. It has been demonstrated that by an analysis of diffracted waves in a fluid it is possible to infer the mechanical properties of the elastic solid medium, specifically, its propagation velocities. For this purpose, the diffracted wave field of pressures and displacements, due to an initial wave of pressure in the fluid, are expressed using boundary integral representations, which satisfy the equation of motion. The source in the fluid is represented by a Hankel’s function of second kind and zero order. The solution to this wave propagation problem is obtained by means of the Indirect Boundary Element Method, which is equivalent to the well-known Somigliana representation theorem. The validation of the results is carried out by using the Discrete Wave Number Method and the Spectral Element Method. Firstly, we show spectra of pressures that illustrate the behavior of the fluid for each solid material considered, then, we apply the Fast Fourier Transform to show results in time domain. Snapshots to exemplify the emergence of Scholte’s waves are also included. |
| |
| Keywords: | propagación de ondas interfa-ses fluidas-sólidas ondas de Scholte elementos frontera ondas de interfaz Funciones de Green wave propagation fluid-solid interface Scholte’s waves boundary elements interface waves Green’s functions |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
