Nonlinear Longitudinal Bulk Strain Waves in Layered Elastic Wavegudes
Pattern Formation and Solitons
2022-03-30 v1 Classical Physics
Abstract
We consider long longitudinal bulk strain waves in layered waveguides using Boussinesq-type equations. The equations are developed using lattice models, and this is viewed as an extension of the Fermi-Pasta-Ulam problem. We describe semi-analytical approaches to the solution of scattering problems in delaminated waveguides, and to the construction of the solution of an initial-value problem in the class of periodic functions, motivated by the scattering problems.
Cite
@article{arxiv.1910.00524,
title = {Nonlinear Longitudinal Bulk Strain Waves in Layered Elastic Wavegudes},
author = {Karima R. Khusnutdinova and Matthew R. Tranter},
journal= {arXiv preprint arXiv:1910.00524},
year = {2022}
}
Comments
24 pages, 11 figures