Numerical formulation to study fluid-solid interfaces excited by elastic waves

Alejandro Rodríguez-Castellanos, Esteban Flores Mendez, Francisco José Sánchez-Sesma, José Efraín Rodríguez-Sánchez

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

In this paper,the scattering of elastic waves in a fluid-solid interface is researched. The Indirect Boundary Element Method (IBEM) was used to study this wave propagation phenomenon in a 2D fluid-solid model. The source, represented by a Hankel's function of the second kind, is always applied in the fluid. This approximate boundary integral technique is based upon the integral representation for scattered elastic waves using single-layer boundary sources. The approach presented is usually called IBEM as the sources' strengths should be obtained as an intermediate step. This indirect formulation can give a deep physical insight to the analyst on the generated diffracted waves, because it is closer to the physical reality and can be regarded as a realization of Huygens' Principle, which mathematically is fully equivalent to the classical Somigliana's representation theorem. In order to gauge accuracy, the method was tested by comparing it to an analytical solution. A near interface pulse generates scattered waves that can be registered by sensors located in the fluid. Results are presented in time domain, where several aspects related to the different wave types that emerge from this kind of problems are pointed out. © (2010) Trans Tech Publications.
Original languageAmerican English
Title of host publicationNumerical formulation to study fluid-solid interfaces excited by elastic waves
Pages54-61
Number of pages47
ISBN (Electronic)9780878492534
DOIs
StatePublished - 29 Dec 2010
EventKey Engineering Materials -
Duration: 29 Dec 2010 → …

Publication series

NameKey Engineering Materials
Volume449
ISSN (Print)1013-9826

Conference

ConferenceKey Engineering Materials
Period29/12/10 → …

Fingerprint

Insulator Elements
Publications

Cite this

Rodríguez-Castellanos, A., Mendez, E. F., Sánchez-Sesma, F. J., & Rodríguez-Sánchez, J. E. (2010). Numerical formulation to study fluid-solid interfaces excited by elastic waves. In Numerical formulation to study fluid-solid interfaces excited by elastic waves (pp. 54-61). (Key Engineering Materials; Vol. 449). https://doi.org/10.4028/www.scientific.net/KEM.449.54
Rodríguez-Castellanos, Alejandro ; Mendez, Esteban Flores ; Sánchez-Sesma, Francisco José ; Rodríguez-Sánchez, José Efraín. / Numerical formulation to study fluid-solid interfaces excited by elastic waves. Numerical formulation to study fluid-solid interfaces excited by elastic waves. 2010. pp. 54-61 (Key Engineering Materials).
@inproceedings{342cec7b4e64445faea7d197ebbb5c4b,
title = "Numerical formulation to study fluid-solid interfaces excited by elastic waves",
abstract = "In this paper,the scattering of elastic waves in a fluid-solid interface is researched. The Indirect Boundary Element Method (IBEM) was used to study this wave propagation phenomenon in a 2D fluid-solid model. The source, represented by a Hankel's function of the second kind, is always applied in the fluid. This approximate boundary integral technique is based upon the integral representation for scattered elastic waves using single-layer boundary sources. The approach presented is usually called IBEM as the sources' strengths should be obtained as an intermediate step. This indirect formulation can give a deep physical insight to the analyst on the generated diffracted waves, because it is closer to the physical reality and can be regarded as a realization of Huygens' Principle, which mathematically is fully equivalent to the classical Somigliana's representation theorem. In order to gauge accuracy, the method was tested by comparing it to an analytical solution. A near interface pulse generates scattered waves that can be registered by sensors located in the fluid. Results are presented in time domain, where several aspects related to the different wave types that emerge from this kind of problems are pointed out. {\circledC} (2010) Trans Tech Publications.",
author = "Alejandro Rodr{\'i}guez-Castellanos and Mendez, {Esteban Flores} and S{\'a}nchez-Sesma, {Francisco Jos{\'e}} and Rodr{\'i}guez-S{\'a}nchez, {Jos{\'e} Efra{\'i}n}",
year = "2010",
month = "12",
day = "29",
doi = "10.4028/www.scientific.net/KEM.449.54",
language = "American English",
isbn = "9780878492534",
series = "Key Engineering Materials",
pages = "54--61",
booktitle = "Numerical formulation to study fluid-solid interfaces excited by elastic waves",

}

Rodríguez-Castellanos, A, Mendez, EF, Sánchez-Sesma, FJ & Rodríguez-Sánchez, JE 2010, Numerical formulation to study fluid-solid interfaces excited by elastic waves. in Numerical formulation to study fluid-solid interfaces excited by elastic waves. Key Engineering Materials, vol. 449, pp. 54-61, Key Engineering Materials, 29/12/10. https://doi.org/10.4028/www.scientific.net/KEM.449.54

Numerical formulation to study fluid-solid interfaces excited by elastic waves. / Rodríguez-Castellanos, Alejandro; Mendez, Esteban Flores; Sánchez-Sesma, Francisco José; Rodríguez-Sánchez, José Efraín.

Numerical formulation to study fluid-solid interfaces excited by elastic waves. 2010. p. 54-61 (Key Engineering Materials; Vol. 449).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Numerical formulation to study fluid-solid interfaces excited by elastic waves

AU - Rodríguez-Castellanos, Alejandro

AU - Mendez, Esteban Flores

AU - Sánchez-Sesma, Francisco José

AU - Rodríguez-Sánchez, José Efraín

PY - 2010/12/29

Y1 - 2010/12/29

N2 - In this paper,the scattering of elastic waves in a fluid-solid interface is researched. The Indirect Boundary Element Method (IBEM) was used to study this wave propagation phenomenon in a 2D fluid-solid model. The source, represented by a Hankel's function of the second kind, is always applied in the fluid. This approximate boundary integral technique is based upon the integral representation for scattered elastic waves using single-layer boundary sources. The approach presented is usually called IBEM as the sources' strengths should be obtained as an intermediate step. This indirect formulation can give a deep physical insight to the analyst on the generated diffracted waves, because it is closer to the physical reality and can be regarded as a realization of Huygens' Principle, which mathematically is fully equivalent to the classical Somigliana's representation theorem. In order to gauge accuracy, the method was tested by comparing it to an analytical solution. A near interface pulse generates scattered waves that can be registered by sensors located in the fluid. Results are presented in time domain, where several aspects related to the different wave types that emerge from this kind of problems are pointed out. © (2010) Trans Tech Publications.

AB - In this paper,the scattering of elastic waves in a fluid-solid interface is researched. The Indirect Boundary Element Method (IBEM) was used to study this wave propagation phenomenon in a 2D fluid-solid model. The source, represented by a Hankel's function of the second kind, is always applied in the fluid. This approximate boundary integral technique is based upon the integral representation for scattered elastic waves using single-layer boundary sources. The approach presented is usually called IBEM as the sources' strengths should be obtained as an intermediate step. This indirect formulation can give a deep physical insight to the analyst on the generated diffracted waves, because it is closer to the physical reality and can be regarded as a realization of Huygens' Principle, which mathematically is fully equivalent to the classical Somigliana's representation theorem. In order to gauge accuracy, the method was tested by comparing it to an analytical solution. A near interface pulse generates scattered waves that can be registered by sensors located in the fluid. Results are presented in time domain, where several aspects related to the different wave types that emerge from this kind of problems are pointed out. © (2010) Trans Tech Publications.

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78650462609&origin=inward

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=78650462609&origin=inward

U2 - 10.4028/www.scientific.net/KEM.449.54

DO - 10.4028/www.scientific.net/KEM.449.54

M3 - Conference contribution

SN - 9780878492534

T3 - Key Engineering Materials

SP - 54

EP - 61

BT - Numerical formulation to study fluid-solid interfaces excited by elastic waves

ER -

Rodríguez-Castellanos A, Mendez EF, Sánchez-Sesma FJ, Rodríguez-Sánchez JE. Numerical formulation to study fluid-solid interfaces excited by elastic waves. In Numerical formulation to study fluid-solid interfaces excited by elastic waves. 2010. p. 54-61. (Key Engineering Materials). https://doi.org/10.4028/www.scientific.net/KEM.449.54