Nonlinear longitudinal bulk strain waves in layered elastic waveguides

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 i...

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Bibliographic Details
Main Authors: Karima Khusnutdinova, Matthew Tranter
Format: Default Book chapter
Published: 2019
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Online Access:https://hdl.handle.net/2134/9914123.v1
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Summary: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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