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POnG

Programme pour les Ondes Guidées

Compute the dispersion relations of guided elastic waves in plates, tubes and strips for elastic and almost incompressible viscoelastic media subjected to an homogeneous finite deformation.

This work extends the codes developed in:

Installation

using Pkg
Pkg.add(url="https://github.com/pchantelot/POnG.jl")
using POnG

Note that to run the included example scripts, the packages LinearAlgebra and Kronecker must be added. Plots are generated using CairoMakie.

Dependencies

The functions chebdif.jl and chebpoints.jl are bundled from DMSuite.jl with their license file.

The functions lpoly.jl, lgrpointsleft.jl, and lgrdiffleft.jl are adapted from the book:

J. Shen, T. Tang and L. Wang, Spectral Methods: Algorithms, Analysis and Applications, Springer Science & Business Media (2011) https://doi.org/10.1007/978-3-540-71041-7

The package NonlinearEigenProblems.jl is developed by E. Jarlebring, M. Bennedich, G. Mele, E. Ringh and P. Upadhyaya:

E. Jarlebring, M. Bennedich, G. Mele, E. Ringh and P. Upadhyaya, NEP-PACK: A Julia package for nonlinear eigenproblems, arXiv:1811.09592 (2018)

Citing POnG

If you use this code, please cite the zenodo repository:

If relevant, please cite the following publications:

  • [1] A. Delory, D. A. Kiefer, M. Lanoy, A. Eddi, C. Prada, and F. Lemoult, Viscoelastic dynamics of a soft strip subject to a large deformation, Soft Matter, (2024), doi: 10.1039/D3SM01485A.

  • [2] P. Chantelot, A. Delory, C. Prada, and F. Lemoult, Wave propagation in a model artery, 10.48550/arXiv.2507.17698 (2025).

  • [3] P. Chantelot, S. Croquette and F. Lemoult, Guided elastic waves informed material modelling of soft incompressible media, 10.48550/arXiv.2603.18839 (2026).

Authors

Code created in 2024-2026 by

P. Chantelot, Institut Langevin, ESPCI Paris, Université PSL - Google Scholar

D. A. Kiefer, Institut Langevin, ESPCI Paris, Université PSL - Google Scholar