69 citations · 128 across the 11 of their papers we have counts for
11 papers
Delamination Detection in Layered Waveguides using Ostrovsky Wave Packets
J. S. Tamber, D. J. Chappell, M. R. Tranter
We examine the scattering of Ostrovsky wave packets, generated from an incident solitary wave, in a two layered waveguide with a delamination in the centre and soft (imperfect) bon…
Detecting Delamination via Nonlinear Wave Scattering in a Bonded Elastic Bar
J. S. Tamber, D. J. Chappell, J. C. Poore +1
In this paper we examine the effect of delamination on wave scattering, with the aim of creating a control measure for layered waveguides of various bonding types. Previous works h…
Periodic solutions of coupled Boussinesq equations and Ostrovsky-type models free from zero-mass contradiction
K. R. Khusnutdinova, M. R. Tranter
Coupled Boussinesq equations describe long weakly-nonlinear longitudinal strain waves in a bi-layer with a soft bonding between the layers (e.g. a soft adhesive). From the mathemat…
Periodic solutions of coupled Boussinesq equations and Ostrovsky-type models free from zero-mass contradiction
K. R. Khusnutdinova, M. R. Tranter
Coupled Boussinesq equations describe long weakly-nonlinear longitudinal strain waves in a bi-layer with a soft bonding between the layers (e.g. a soft adhesive). From the mathemat…
Nonlinear Longitudinal Bulk Strain Waves in Layered Elastic Wavegudes
Karima R. Khusnutdinova, Matthew R. 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 ex…
Solitary Wave Propagation in Elastic Bars with Multiple Sections and Layers
M. R. Tranter
In this paper we present a numerical scheme for solving a system of Boussinesq-type equations. This can correspond to longitudinal displacements in a multi-layered elastic bar with…
Weakly-nonlinear solution of coupled Boussinesq equations and radiating solitary waves
K. R. Khusnutdinova, M. R. Tranter
Weakly-nonlinear waves in a layered waveguide with an imperfect interface (soft bonding between the layers) can be modelled using coupled Boussinesq equations. We assume that the m…
D'Alembert-type solution of the Cauchy problem for a Boussinesq-Klein-Gordon equation
K. R. Khusnutdinova, M. R. Tranter
In this paper we construct a weakly-nonlinear d'Alembert-type solution of the Cauchy problem for a Boussinesq-Klein-Gordon equation. Similarly to our earlier work based on the use…
Soliton solutions to the fifth-order Korteweg - de Vries equation and their applications to surface and internal water waves
K. R. Khusnutdinova, Y. A. Stepanyants, M. R. Tranter
We study solitary wave solutions of the fifth-order Korteweg - de Vries equation which contains, besides the traditional quadratic nonlinearity and third-order dispersion, addition…
On radiating solitary waves in bi-layers with delamination and coupled Ostrovsky equations
K. R. Khusnutdinova, M. R. Tranter
We study the scattering of a long longitudinal radiating bulk strain solitary wave in the delaminated area of a two-layered elastic structure with soft (`imperfect') bonding betwee…
Modelling of nonlinear wave scattering in a delaminated elastic bar
K. R. Khusnutdinova, M. R. Tranter
Integrity of layered structures, extensively used in modern industry, strongly depends on the quality of their interfaces; poor adhesion or delamination can lead to a failure of th…