Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Tranter, M R"'
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) bonding either side of the centre. The layers of the waveguide are assume
Externí odkaz:
http://arxiv.org/abs/2405.00388
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 have considered specific widths of solitary waves for the simulations,
Externí odkaz:
http://arxiv.org/abs/2308.16645
Autor:
Khusnutdinova, K. R., Tranter, M. R.
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 mathematical viewpoint, a particularly difficult case appears when the linear
Externí odkaz:
http://arxiv.org/abs/2210.14107
Autor:
Khusnutdinova, K. R., Tranter, M. R.
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 mathematical viewpoint, a particularly difficult case appears when the linear
Externí odkaz:
http://arxiv.org/abs/2102.03090
Autor:
Tranter, M. R.
Publikováno v:
Wave Motion 86 (2019) 21-31
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 delamination, with conditions on the interface between the sections o
Externí odkaz:
http://arxiv.org/abs/1811.09887
Autor:
Khusnutdinova, K. R., Tranter, M. R.
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 materials of the layers have close mechanical properties, in which case
Externí odkaz:
http://arxiv.org/abs/1810.13358
Autor:
Khusnutdinova, K. R., Tranter, M. R.
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 of spatial Fourier series, we consider the problem in the class of per
Externí odkaz:
http://arxiv.org/abs/1808.08150
We study solitary wave solutions of the fifth-order Korteweg - de Vries equation which contains, besides the traditional quadratic nonlinearity and third-order dispersion, additional terms including cubic nonlinearity and fifth order linear dispersio
Externí odkaz:
http://arxiv.org/abs/1801.09035
Autor:
Khusnutdinova, K. R., Tranter, M. R.
Publikováno v:
Chaos 27, 013112 (2017)
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 between the layers within the scope of the coupled Boussinesq equations. The
Externí odkaz:
http://arxiv.org/abs/1702.07575
Autor:
Khusnutdinova, K. R., Tranter, M. R.
Publikováno v:
Proc. R. Soc. A 2015 471 20150584
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 the structure. Can nonlinear waves help us to control the quality of lay
Externí odkaz:
http://arxiv.org/abs/1510.09141