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Julius Kaplunov's Outputs (92)

Celebrating the Centenary of Timoshenko's Study of Effects of Shear Deformation and Rotary Inertia (2015)
Journal Article
Elishakoff, I., Kaplunov, J., & Nolde, E. (2015). Celebrating the Centenary of Timoshenko's Study of Effects of Shear Deformation and Rotary Inertia. Applied Mechanics Reviews, 67(6), Article ARTN 060802. https://doi.org/10.1115/1.4031965

This study revisits Timoshenko beam theory (TBT). It discusses at depth a more consistent and simpler governing differential equation. The so-called second spectrum is also addressed. Then, we provide the asymptotic justification of the aforementione... Read More about Celebrating the Centenary of Timoshenko's Study of Effects of Shear Deformation and Rotary Inertia.

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.

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 near-resonant regimes of a moving load in a three-dimensional problem for a coated elastic half-space (2014)
Journal Article
Erbaş, B., Kaplunov, J., Prikazchikov, D. A., & Şahin, O. (2014). The near-resonant regimes of a moving load in a three-dimensional problem for a coated elastic half-space. Mathematics and Mechanics of Solids, 22(1), https://doi.org/10.1177/1081286514555451

This paper deals with the three-dimensional analysis of the near-resonant regimes of a point load, moving steadily along the surface of a coated elastic half-space. The approach developed relies on a specialized hyperbolic–elliptic formulation for th... Read More about The near-resonant regimes of a moving load in a three-dimensional problem for a coated elastic half-space.

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.