Nonlinear Longitudinal Bulk Strain Waves in Layered Elastic Wavegudes
Karima R. Khusnutdinova, Matthew R. Tranter
TL;DR
This paper develops Boussinesq-type equations from lattice models to analyze nonlinear longitudinal bulk strain waves in layered waveguides, providing semi-analytical methods for scattering and initial-value problems in delaminated structures.
Contribution
It introduces a novel extension of the Fermi-Pasta-Ulam problem to layered waveguides and offers semi-analytical solutions for complex scattering and wave propagation problems.
Findings
Derived Boussinesq-type equations for layered waveguides
Developed semi-analytical methods for scattering problems
Constructed solutions for initial-value problems in periodic functions
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.
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