ElasticMatrix Toolbox

The ElasticMatrix Toolbox uses the partial-wave method to model elastic wave propagation in multi-layered anisotropic media up to transverse-isotropic symmetry when the wave propagation is along a plane of symmetry.

Introduction

Simulating the propagation of elastic waves in multi-layered media has many applications. A common approach is to use matrix methods where the elastic wave-field within each material layer is represented by a sum of partial waves along with boundary conditions imposed at each interface. While these methods are well-known, coding the required matrix formation, inversion, and analysis for general multi-layered systems is non-trivial and can take a long time. Here, a new open-source toolbox called ElasticMatrix is introduced which solves the problem of acoustic and elastic wave propagation in multi-layered media for isotropic and transverse-isotropic materials where the wave propagation occurs in a material plane of symmetry. The toolbox is implemented in MATLAB using an object oriented programming framework and is designed to be easy to use and extend. Methods are provided for calculating and plotting dispersion curves, displacement and stress fields, reflection and transmission coefficients, and slowness profiles.

Further Reading

1. Ramasawmy, Danny R., et al. "ElasticMatrix: A MATLAB Toolbox for Anisotropic Elastic Wave Propagation in Layered Media.", SoftwareX , (2020).
2. Ramasawmy, Danny R., et al. "Analysis of the Directivity of Glass Etalon Fabry-Pérot Ultrasound Sensors." IEEE transactions on ultrasonics, ferroelectrics, and frequency control, (2019).
3. Lowe, Michael JS. "Matrix techniques for modeling ultrasonic waves in multilayered media." IEEE transactions on ultrasonics, ferroelectrics, and frequency control, (1995).
4. Nayfeh, Adnan H. "The general problem of elastic wave propagation in multilayered anisotropic media." The Journal of the Acoustical Society of America, (1991).
5. Pavlakovic, Brian, et al. "Disperse: A general purpose program for creating dispersion curves." Review of progress in quantitative nondestructive evaluation. Springer , (1997).
6. Rose, Joseph L. "Ultrasonic guided waves in solid media." Cambridge university press, (2014).
7. Cheeke, J. David N. "Fundamentals and applications of ultrasonic waves." CRC press, (2016).
8. Beard, C. Paul. "Transduction mechanisms of the Fabry-Perot polymer film sensing concept for wideband ultrasound detection" IEEE transactions on ultrasonics, ferroelectrics, and frequency control , (1999).
9. Cox, Ben T., and Paul C. Beard. "The frequency-dependent directivity of a planar Fabry-Perot polymer film ultrasound sensor." IEEE transactions on ultrasonics, ferroelectrics, and frequency control , (2007).