1D-Space finite element approximation with 2D-space Fourier transform and with time-domain formulation for 3D-transient elastic waves in multilayer semi-infinite media

Christophe Desceliers (1) , Q. Grimal (2) , G. Haïat (3) , Salah Naili (3) , Christian Soize (1)

1 LaM - Laboratoire de Mécanique
2 LIP - Laboratoire d'Imagerie Paramétrique
3 LMP - Laboratoire de mécanique physique

The purpose of this communication is to present a hybrid method to simulate the transient elastic waves over a short time in multilayer semi-infinite media subjected to given transient loads. The medium is constituted of a finite number of unbounded layers with finite thicknesses. We present a method avoiding usual numerical difficulties for such a problem. The proposed method is based on a time domain formulation associated with a 2D-space Fourier transform for the two infinite dimensions and using a finite element discretisation for the third finite dimension. An example is presented for a three layers system constituted of an elastic solid layer sandwiched between two acoustic fluid layers and excited by an acoustic line source located in one of the two acoustic fluid layers.

Mots clés: wave propagation; multi-layer medium; finite element approximation; space Fourier transform; time-domain formulation; 3D-transient elastic waves; multilayer semi-infinite media

Domaines: Vibrations [physics.class-ph]; Vibrations [physics.class-ph]; Biomécanique [physics.med-ph]; Biomécanique [physics.med-ph]

Christophe Desceliers, Q. Grimal, G. Haïat, Salah Naili, Christian Soize. 1D-Space finite element approximation with 2D-space Fourier transform and with time-domain formulation for 3D-transient elastic waves in multilayer semi-infinite media. ICSV13, The thirteenth International Congress on Sound and Vibration, Jul 2006, Vienna, Austria. pp.Pages: 1-8. ⟨hal-00689702⟩