A two-dimensional problem of elastic wave propagation in a rectangular solid is considered. It is first approached using the classical apparatus of mathematical physics, with a fully analytical model produced as the result. The same system is then analysed numerically using two commercial finite element software packages, COMSOL and ANSYS APDL, with the focus on the bulk and guided wave propagation. The results produced by the numerical models are compared with those produced by the analytical one, and the superiority of the latter in terms of the computational costs is established, while a good overall quantitative agreement is observed. The proposed analytical model is therefore shown to be a very attractive choice as a benchmark for validation of fully-numerical models. A procedure for the inverse use of the model is established and tested as well.

Chiappa, A., Iakovlev, S., Marzani, A., Giorgetti, F., Groth, C., Porziani, S., et al. (2021). An analytical benchmark for a 2D problem of elastic wave propagation in a solid. ENGINEERING STRUCTURES, 229, 111655 [10.1016/j.engstruct.2020.111655].

An analytical benchmark for a 2D problem of elastic wave propagation in a solid

Chiappa, A;Giorgetti, F;Groth, C;Biancolini, ME
2021

Abstract

A two-dimensional problem of elastic wave propagation in a rectangular solid is considered. It is first approached using the classical apparatus of mathematical physics, with a fully analytical model produced as the result. The same system is then analysed numerically using two commercial finite element software packages, COMSOL and ANSYS APDL, with the focus on the bulk and guided wave propagation. The results produced by the numerical models are compared with those produced by the analytical one, and the superiority of the latter in terms of the computational costs is established, while a good overall quantitative agreement is observed. The proposed analytical model is therefore shown to be a very attractive choice as a benchmark for validation of fully-numerical models. A procedure for the inverse use of the model is established and tested as well.
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore ING-IND/14
eng
Wave propagation
Analytical model
Analytical benchmark
Finite element model
Model comparison
Chiappa, A., Iakovlev, S., Marzani, A., Giorgetti, F., Groth, C., Porziani, S., et al. (2021). An analytical benchmark for a 2D problem of elastic wave propagation in a solid. ENGINEERING STRUCTURES, 229, 111655 [10.1016/j.engstruct.2020.111655].
Chiappa, A; Iakovlev, S; Marzani, A; Giorgetti, F; Groth, C; Porziani, S; Biancolini, M
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/290844
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