Forced vibrations and wave propagation in multilayered solid spheres using a one-dimensional semi-analytical finite element method

DOI10.1016/J.WAVEMOTI.2020.102555OpenAlexW3014841979MaRDI QIDQ2659641

Odile Abraham, Matthieu Gallezot, Fabien Treyssède

Publication date: 26 March 2021

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.11887

zbMATH Keywords

finite elementspherespherical harmonicssurface waveseigenmodesforced response

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Fluid mechanics (76-XX)

Uses Software

• FFTW
• Chebfun
• SHTns
• SHTOOLS

Cites Work

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• The free vibrations of inhomogeneous elastic cylinders and spheres
• FFTs for the 2-sphere-improvements and variations
• Computational harmonic analysis for tensor fields on the two-sphere
• Free vibration of multi-layered spherically isotropic hollow spheres
• Evaluation of modal density and group velocity by a finite element method
• Fundamental Solutions in Elastodynamics
• New tensor spherical harmonics, for application to the partial differential equations of mathematical physics
• Three-Dimensional and Shell-Theory Analysis of Elastic Waves in a Hollow Sphere: Part 1—Analytical Foundation

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