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Original title:
On finite element modelling in time reversal problems
Authors: Mračko, Michal ; Kober, Jan ; Kolman, Radek ; Převorovský, Zdeněk ; Plešek, Jiří ; Masák, Jan ; Kruisová, Alena
Document type: Papers
Conference/Event: International Workshop of NDT Experts /9./, Praha (CZ), 20171009
Year: 2017
Language: eng
Abstract: In this paper we analyse suitability and accuracy of computational techniques in time reversal applications based on finite element method (FEM) for detection and localization of defects, cracks or other acoustic emission sources in bodies and structures. As it is known, a classical explicit integration scheme - central difference is reversible. The central difference scheme as a time integrator is widely used for linear and nonlinear finite element analyses and it is also implemented in commercial and open-source finite element software. In the paper properties of the explicit FEM in time reversal problems are studied and analysed. We use the standard Galerkin FEM formulation with linear shape functions, one-point Gauss integration and lumped mass matrix. Loading by the Ricker pulse was applied for modelling of the acoustic source in an elastic square domain. A special attention is paid to the choice of boundary conditions in reverse problem which keep the reversibility of problems of interest. Finally, we show the quality of refocusing of the original acoustic source.
Keywords: elastic wave propagation; explicit finite element analysis; non-destructive testing; refocusing; source reconstruction; time reversal
Project no.: EF15_003/0000493, GA17-22615S (CEP)
Funding provider: GA MŠk, GA ČR
Host item entry: NDT in PROGRESS, ISBN 978-80-87012-63-5
Institution: Institute of Thermomechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0279215
Permalink: http://www.nusl.cz/ntk/nusl-371065
The record appears in these collections:
Research > Institutes ASCR > Institute of Thermomechanics
Conference materials > Papers
Authors: Mračko, Michal ; Kober, Jan ; Kolman, Radek ; Převorovský, Zdeněk ; Plešek, Jiří ; Masák, Jan ; Kruisová, Alena
Document type: Papers
Conference/Event: International Workshop of NDT Experts /9./, Praha (CZ), 20171009
Year: 2017
Language: eng
Abstract: In this paper we analyse suitability and accuracy of computational techniques in time reversal applications based on finite element method (FEM) for detection and localization of defects, cracks or other acoustic emission sources in bodies and structures. As it is known, a classical explicit integration scheme - central difference is reversible. The central difference scheme as a time integrator is widely used for linear and nonlinear finite element analyses and it is also implemented in commercial and open-source finite element software. In the paper properties of the explicit FEM in time reversal problems are studied and analysed. We use the standard Galerkin FEM formulation with linear shape functions, one-point Gauss integration and lumped mass matrix. Loading by the Ricker pulse was applied for modelling of the acoustic source in an elastic square domain. A special attention is paid to the choice of boundary conditions in reverse problem which keep the reversibility of problems of interest. Finally, we show the quality of refocusing of the original acoustic source.
Keywords: elastic wave propagation; explicit finite element analysis; non-destructive testing; refocusing; source reconstruction; time reversal
Project no.: EF15_003/0000493, GA17-22615S (CEP)
Funding provider: GA MŠk, GA ČR
Host item entry: NDT in PROGRESS, ISBN 978-80-87012-63-5
Institution: Institute of Thermomechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0279215
Permalink: http://www.nusl.cz/ntk/nusl-371065
The record appears in these collections:
Research > Institutes ASCR > Institute of Thermomechanics
Conference materials > Papers
Record created 2018-01-11, last modified 2021-11-24