Time-dependentwave-structure interaction revisited: Thermo-piezoelectric scatterers

George C. Hsiao; Tonatiuh Sánchez-Vizuet

doi:10.3390/fluids6030101

Time-dependentwave-structure interaction revisited: Thermo-piezoelectric scatterers

George C. Hsiao, Tonatiuh Sánchez-Vizuet

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper, we are concerned with a time-dependent transmission problem for a thermopiezoelectric elastic body that is immersed in a compressible fluid. It is shown that the problem can be treated by the boundary-field equation method, provided that an appropriate scaling factor is employed. As usual, based on estimates for solutions in the Laplace-transformed domain, we may obtain properties of corresponding solutions in the time-domain without having to perform the inversion of the Laplace-domain solutions.

Original language	English (US)
Article number	101
Journal	Fluids
Volume	6
Issue number	3
DOIs	https://doi.org/10.3390/fluids6030101
State	Published - Mar 2021

Keywords

Boundary integral equation
Coupling procedure
Kirchhoff representation formula
Laplace transform
Piezoelectricity
Retarded potential
Sobolev space
Thermoelasticity
Transient waves
Variational formulation
Wave-structure interaction

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.3390/fluids6030101

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title = "Time-dependentwave-structure interaction revisited: Thermo-piezoelectric scatterers",

abstract = "In this paper, we are concerned with a time-dependent transmission problem for a thermopiezoelectric elastic body that is immersed in a compressible fluid. It is shown that the problem can be treated by the boundary-field equation method, provided that an appropriate scaling factor is employed. As usual, based on estimates for solutions in the Laplace-transformed domain, we may obtain properties of corresponding solutions in the time-domain without having to perform the inversion of the Laplace-domain solutions.",

keywords = "Boundary integral equation, Coupling procedure, Kirchhoff representation formula, Laplace transform, Piezoelectricity, Retarded potential, Sobolev space, Thermoelasticity, Transient waves, Variational formulation, Wave-structure interaction",

author = "Hsiao, {George C.} and Tonatiuh S{\'a}nchez-Vizuet",

note = "Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland.",

year = "2021",

month = mar,

doi = "10.3390/fluids6030101",

language = "English (US)",

volume = "6",

journal = "Fluids",

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T2 - Thermo-piezoelectric scatterers

AU - Hsiao, George C.

AU - Sánchez-Vizuet, Tonatiuh

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Y1 - 2021/3

N2 - In this paper, we are concerned with a time-dependent transmission problem for a thermopiezoelectric elastic body that is immersed in a compressible fluid. It is shown that the problem can be treated by the boundary-field equation method, provided that an appropriate scaling factor is employed. As usual, based on estimates for solutions in the Laplace-transformed domain, we may obtain properties of corresponding solutions in the time-domain without having to perform the inversion of the Laplace-domain solutions.

AB - In this paper, we are concerned with a time-dependent transmission problem for a thermopiezoelectric elastic body that is immersed in a compressible fluid. It is shown that the problem can be treated by the boundary-field equation method, provided that an appropriate scaling factor is employed. As usual, based on estimates for solutions in the Laplace-transformed domain, we may obtain properties of corresponding solutions in the time-domain without having to perform the inversion of the Laplace-domain solutions.

KW - Boundary integral equation

KW - Coupling procedure

KW - Kirchhoff representation formula

KW - Laplace transform

KW - Piezoelectricity

KW - Retarded potential

KW - Sobolev space

KW - Thermoelasticity

KW - Transient waves

KW - Variational formulation

KW - Wave-structure interaction

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VL - 6

JO - Fluids

JF - Fluids

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M1 - 101

ER -

Time-dependentwave-structure interaction revisited: Thermo-piezoelectric scatterers

Abstract

Keywords

ASJC Scopus subject areas

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