Dispersion of elastic waves in laminated glass (2017)
Journal Article
Kaplunov, J., Prikazchikov, D., & Prikazchikova, L. (2017). Dispersion of elastic waves in laminated glass. Procedia Engineering, 199, 1489 -1494. https://doi.org/10.1016/j.proeng.2017.09.428

Elastic sandwich-type structures with high-contrast material and geometrical properties have numerous applications in modern engineering, including, in particular, laminated glass, photovoltaic panels, precipitator plates in gas filters, etc. Multi-p... Read More about Dispersion of elastic waves in laminated glass.

Intrinsic flame instabilities in combustors: Analytic description of a 1-D resonator model (2017)
Journal Article
Kanta Mukherjee, N., & Shrira, V. (2017). Intrinsic flame instabilities in combustors: Analytic description of a 1-D resonator model. Combustion and Flame, 185, 188 -209. https://doi.org/10.1016/j.combustflame.2017.07.012

The study is concerned with theoretical examination of thermo-acoustic instabilities in combustors and focuses on recently discovered ‘flame intrinsic modes’. These modes differ qualitatively from the acoustic modes in a combustor. Although these fla... Read More about Intrinsic flame instabilities in combustors: Analytic description of a 1-D resonator model.

Dispersion of elastic waves in a strongly inhomogeneous three-layered plate (2017)
Journal Article
Prikazchikov, D., Kaplunov, J., & Prikazchikova, L. (2017). Dispersion of elastic waves in a strongly inhomogeneous three-layered plate. International Journal of Solids and Structures, 113-114, 169-179. https://doi.org/10.1016/j.ijsolstr.2017.01.042

Elastic wave propagation in a three-layered plate with high-contrast mechanical and geometric properties of the layers is analysed. Four specific types of contrast arising in engineering practice, including the design of stiff and lightweight structu... Read More about Dispersion of elastic waves in a strongly inhomogeneous three-layered plate.

Edge wrinkling in elastically supported pre-stressed incompressible isotropic plates (2016)
Journal Article
Destrade, M., Fu, Y., & Nobili, A. (2016). Edge wrinkling in elastically supported pre-stressed incompressible isotropic plates. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 20160410 -?. https://doi.org/10.1098/rspa.2016.0410

The equations governing the appearance of flexural static perturbations at the edge of a semi-infinite thin elastic isotropic plate, subjected to a state of homogeneous bi-axial pre-stress, are derived and solved. The plate is incompressible and supp... Read More about Edge wrinkling in elastically supported pre-stressed incompressible isotropic plates.

Buckling of a spherical shell under external pressure and inward concentrated load: asymptotic solution (2016)
Journal Article
Evkin, A., Kolesnikov, M., & Prikazchikov, D. A. (2016). Buckling of a spherical shell under external pressure and inward concentrated load: asymptotic solution. Mathematics and Mechanics of Solids, 22(6), 1425-1437. https://doi.org/10.1177/1081286516635872

An asymptotic solution is suggested for a thin isotropic spherical shell subject to uniform external pressure and concentrated load. The pressure is the main load and a concentrated lateral load is considered as a perturbation that decreases buckling... Read More about Buckling of a spherical shell under external pressure and inward concentrated load: asymptotic solution.

Multi-parametric analysis of strongly inhomogeneous periodic waveguides with internal cutoff frequencies (2016)
Journal Article
Kaplunov. (2016). Multi-parametric analysis of strongly inhomogeneous periodic waveguides with internal cutoff frequencies. Mathematical Methods in the Applied Sciences, 3381-3392. https://doi.org/10.1002/mma.3900

In this paper, we consider periodic waveguides in the shape of a inhomogeneous string or beam partially supported by a uniform elastic Winkler foundation. A multi-parametric analysis is developed to take into account the presence of internal cutoff f... Read More about Multi-parametric analysis of strongly inhomogeneous periodic waveguides with internal cutoff frequencies.

Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects (2016)
Journal Article
Kaplunov. (2016). Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, https://doi.org/10.1098/rspa.2015.0800

The dynamic response of a homogeneous half-space, with a traction-free surface, is considered within the framework of non-local elasticity. The focus is on the dominant effect of the boundary layer on overall behaviour. A typical wavelength is assume... Read More about Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects.

The edge waves on a Kirchhoff plate bilaterally supported by a two-parameter elastic foundation (2015)
Journal Article
Kaplunov. (2015). The edge waves on a Kirchhoff plate bilaterally supported by a two-parameter elastic foundation. Journal of Vibration and Control, 2014-2022. https://doi.org/10.1177/1077546315606838

In this paper, the bending waves propagating along the edge of a semi-infinite Kirchhoff plate resting on a two-parameter Pasternak elastic foundation are studied. Two geometries of the foundation are considered: either it is infinite or it is semi-i... Read More about The edge waves on a Kirchhoff plate bilaterally supported by a two-parameter elastic foundation.

Small amplitude waves in a pre-stressed compressible elastic layer with one fixed and one free face (2015)
Journal Article
Lashhab, M., Rogerson, G., & Prikazchikova, L. (2015). Small amplitude waves in a pre-stressed compressible elastic layer with one fixed and one free face. Zeitschrift für Angewandte Mathematik und Physik, 66, 2741 -2757. https://doi.org/10.1007/s00033-015-0509-y

We address the problem of wave propagation in a pre-stressed elastic layer with mixed boundary conditions, the layer having one fixed and one free face. Numerical analysis provides a good initial insight into the influence of these boundary condition... Read More about Small amplitude waves in a pre-stressed compressible elastic layer with one fixed and one free face.

Low-frequency perturbations of rigid body motions of a viscoelastic inhomogeneous bar (2015)
Journal Article
Kaplunov. (2015). Low-frequency perturbations of rigid body motions of a viscoelastic inhomogeneous bar. Mechanics of Time-Dependent Materials, 135 -151. https://doi.org/10.1007/s11043-015-9256-x

This paper deals with a low-frequency analysis of a viscoelastic inhomogeneous bar subject to end loads. The spatial variation of the problem parameters is taken into consideration. Explicit asymptotic corrections to the conventional equations of rig... Read More about Low-frequency perturbations of rigid body motions of a viscoelastic inhomogeneous bar.

Anti-plane shear waves in a fibre-reinforced composite with a non-linear imperfect interface (2015)
Journal Article
Danishevs׳kyy, V. V., Kaplunov, J. D., & Rogerson, G. A. (2015). Anti-plane shear waves in a fibre-reinforced composite with a non-linear imperfect interface. International Journal of Non-Linear Mechanics, 76, 223 -232. https://doi.org/10.1016/j.ijnonlinmec.2014.12.009

The propagation of non-linear elastic anti-plane shear waves in a unidirectional fibre-reinforced composite material is studied. A model of structural non-linearity is considered, for which the non-linear behaviour of the composite solid is caused by... Read More about Anti-plane shear waves in a fibre-reinforced composite with a non-linear imperfect interface.

The edge wave on an elastically supported Kirchhoff plate (2014)
Journal Article
Kaplunov, J., Prikazchikov, D. A., Rogerson, G. A., & Lashab, M. I. (2014). The edge wave on an elastically supported Kirchhoff plate. Journal of the Acoustical Society of America, 136(4), 1487 - 1490. https://doi.org/10.1121/1.4894795

This Letter deals with an analysis of bending edge waves propagating along the free edge of a Kirchhoff plate supported by a Winkler foundation. The presence of a foundation leads to a non-zero cut-off frequency for this wave, along with a local mini... Read More about The edge wave on an elastically supported Kirchhoff plate.

Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media (2014)
Journal Article
Kaplunov. (2014). Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media. Wave Motion, 581 - 588. https://doi.org/10.1016/j.wavemoti.2013.09.007

This article explores the deep connections that exist between the mathematical representations of dynamic phenomena in functionally graded waveguides and those in periodic media. These connections are at their most obvious for low-frequency and long-... Read More about Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media.

Rayleigh waves of arbitrary profile in anisotropic media (2013)
Journal Article
Prikazchikov, D. (2013). Rayleigh waves of arbitrary profile in anisotropic media. Mechanics Research Communications, 50, 83 -86. https://doi.org/10.1016/j.mechrescom.2013.03.009

The paper deals with surface wave propagation in an orthorhombic elastic half-plane. The general profile of the wave is considered, incorporating the anisotropy effects within the known representation in terms of a single plane harmonic function.

On a class of three-phase checkerboards with unusual effective properties (2011)
Journal Article
(2011). On a class of three-phase checkerboards with unusual effective properties. Comptes Rendus Mécanique, 411-417. https://doi.org/10.1016/j.crme.2011.03.016

We examine the band spectrum, and associated Floquet-Bloch eigensolutions, arising in a class of three-phase periodic checkerboards. On a periodic cell $[-1,1[^2$, the refractive index is defined by $n^2= 1+ g_1(x_1)+g_2(x_2)$ with $g_i(x_i)= r^2\qua... Read More about On a class of three-phase checkerboards with unusual effective properties.

Requirements for commercial X-ray element-specific imaging technology (2011)
Journal Article
Austin, J. (2011). Requirements for commercial X-ray element-specific imaging technology. Insight - Non-Destructive Testing & Condition Monitoring, 53(3), 127 - 131. https://doi.org/10.1784/insi.2011.53.3.127

Analysis of the composition of material samples nondestructively by means of standard X-ray tube imaging is extremely challenging due to the breadth of the bremsstrahlung spectrum, resulting from mono-energetic electrons striking a thick tungsten tar... Read More about Requirements for commercial X-ray element-specific imaging technology.