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Nonlinear Longitudinal Bulk Strain Waves in Layered Elastic Waveguides

  • Karima R. KhusnutdinovaEmail author
  • Matthew R. Tranter
Chapter
Part of the Mathematics of Planet Earth book series (MPE, volume 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 semianalytical 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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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Mathematical SciencesLoughborough UniversityLoughboroughUK

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