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Nonlinear longitudinal bulk strain waves in layered elastic waveguides

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posted on 30.09.2019 by Karima Khusnutdinova, Matthew Tranter
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.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Applied Wave Mathematics II: Selected Topics in Solids, Fluids, and Mathematical Methods and Complexity

Pages

125 - 150

Publisher

Springer

Version

AM (Accepted Manuscript)

Rights holder

© Springer

Publisher statement

This is a pre-copyedited version of a contribution published in Applied Wave Mathematics II: Selected Topics in Solids, Fluids, and Mathematical Methods and Complexity edited by A Berezovski; T Soomere published by Springer . The definitive authenticated version is available online via https://doi.org/10.1007/978-3-030-29951-4_6.

Publication date

2019-11-16

Copyright date

2019

ISBN

9783030299507

ISSN

2524-4264

Book series

Mathematics of Planet Earth; 6

Language

en

Editor(s)

A Berezovski; T Soomere

Depositor

Dr Karima Khusnutdinova

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