A hyperbolic framework for shear sound beams in nonlinear solids
Berjamin, Harold Destrade, Michel
Berjamin, Harold
Destrade, Michel
Loading...
Repository DOI
Publication Date
2021-09-14
Type
Article
Downloads
Citation
Berjamin, Harold, & Destrade, Michel. (2021). A hyperbolic framework for shear sound beams in nonlinear solids. Communications in Nonlinear Science and Numerical Simulation, 103, 106036. doi:https://doi.org/10.1016/j.cnsns.2021.106036
Abstract
In soft elastic solids, directional shear waves are in general governed by coupled nonlinear KZK-type equations for the two transverse velocity components, when both quadratic nonlinearity and cubic nonlinearity are taken into account. Here we consider spatially two-dimensional wave fields. We propose a change of variables to transform the equations into a quasi-linear first-order system of partial differential equations. Its numerical resolution is then tackled by using a path-conservative MUSCL-Osher finite volume scheme, which is well-suited to the computation of shock waves. We validate the method against analytical solutions (Green¿s function, plane waves). The results highlight the generation of odd harmonics and of second-order harmonics in a Gaussian shear-wave beam.
Funder
Publisher
Elsevier
Publisher DOI
10.1016/j.cnsns.2021.106036
Rights
CC BY-NC-ND 3.0 IE