Nonlinear Longitudinal Bulk Strain Waves in Layered Elastic Wavegudes
arXiv:1910.00524 · doi:10.1007/978-3-030-29951-4_6
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.
24 pages, 11 figures
References in corpus (6)
- Fermi, Pasta, Ulam and a mysterious lady
- Coupled Ostrovsky equations for internal waves in a shear flow
- Initial-value problem for coupled Boussinesq equations and a hierarchy of Ostrovsky equations
- On radiating solitary waves in bi-layers with delamination and coupled Ostrovsky equations
- On Boussinesq-type models for long longitudinal waves in elastic rods
- Solitary Wave Propagation in Elastic Bars with Multiple Sections and Layers