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Nonlinear longitudinal bulk strain waves in layered elastic waveguides
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posted on 2019-09-30, 08:35 authored by Karima KhusnutdinovaKarima Khusnutdinova, Matthew TranterWe 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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Applied Wave Mathematics II: Selected Topics in Solids, Fluids, and Mathematical Methods and ComplexityPages
125 - 150Publisher
SpringerVersion
- AM (Accepted Manuscript)
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© SpringerPublisher 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
2019-11-16Copyright date
2019ISBN
9783030299507ISSN
2524-4264Publisher version
Book series
Mathematics of Planet Earth; 6Language
- en
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A Berezovski; T SoomereDepositor
Dr Karima KhusnutdinovaUsage metrics
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