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Multi-parametric analysis of the lowest natural frequencies of strongly inhomogeneous elastic rods (2015)
Journal Article
Prikazchikov, D., Kaplunov, J., & Sergushova, O. (2016). Multi-parametric analysis of the lowest natural frequencies of strongly inhomogeneous elastic rods. Journal of Sound and Vibration, 366, 264-276. https://doi.org/10.1016/j.jsv.2015.12.008

The results of a multi-parametric analysis of the near-rigid body motions of a three-component strongly inhomogeneous elastic rod are presented. It is demonstrated that the values of the associated lowest natural frequencies tend to zero at large/sma... Read More about Multi-parametric analysis of the lowest natural frequencies of strongly inhomogeneous elastic rods.

Remarks on explicit strong ellipticity conditions for anisotropic or pre-stressed incompressible solids. (2015)
Journal Article
Pichugin, A., & Prikazchikov, D. (2016). Remarks on explicit strong ellipticity conditions for anisotropic or pre-stressed incompressible solids. Quarterly Journal of Mechanics and Applied Mathematics, 69(1), 67-81. https://doi.org/10.1093/qjmam/hbv017

We present a set of explicit conditions, involving the components of the elastic stiffness tensor, which are necessary and sufficient to ensure the strong ellipticity of an orthorhombic incompressible medium. The derivation is based on the procedure... Read More about Remarks on explicit strong ellipticity conditions for anisotropic or pre-stressed incompressible solids..

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.

An asymptotic analysis of the period-doubling secondary bifurcation in a film/substrate bilayer (2015)
Journal Article
Fu, Y., & Cai, Z. (2015). An asymptotic analysis of the period-doubling secondary bifurcation in a film/substrate bilayer. SIAM Journal on Applied Mathematics, 2381-2395. https://doi.org/10.1137/15M1027103

It has previously been observed experimentally and simulated numerically that when a thin film bonded to a much softer substrate is subjected to a uni-axial compression parallel to the interface, the initial buckled pattern will suffer a secondary bi... Read More about An asymptotic analysis of the period-doubling secondary bifurcation in a film/substrate bilayer.

Localized standing waves in a hyperelastic membrane tube and their stabilization by a mean flow (2015)
Journal Article
Fu, Y. B., & Il'ichev, A. T. (2015). Localized standing waves in a hyperelastic membrane tube and their stabilization by a mean flow. Mathematics and Mechanics of Solids, 20(10), 1198-1214. https://doi.org/10.1177/1081286513517129

We first give a complete analysis of the dispersion relation for travelling waves propagating in a pre-stressed hyperelastic membrane tube containing a uniform flow. We present an exact formula for the so-called pulse wave velocity, and demonstrate t... Read More about Localized standing waves in a hyperelastic membrane tube and their stabilization by a mean flow.

Bifurcation of a dielectric elastomer balloon under pressurized inflation and electricactuation (2015)
Journal Article
Fu, Y., Xie, Y., & Liu, J. (2015). Bifurcation of a dielectric elastomer balloon under pressurized inflation and electricactuation. International Journal of Solids and Structures, 182-188. https://doi.org/10.1016/j.ijsolstr.2015.08.027

It is previously known that under inflation alone a spherical rubber membrane balloon may bifurcate into a pear shape when the tension in the membrane reaches a maximum, but the existence of such a maximum depends on the material model used: the maxi... Read More about Bifurcation of a dielectric elastomer balloon under pressurized inflation and electricactuation.

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.

Enhancing Social Interaction with Seamless Face Recognition on Google Glass: Leveraging opportunistic multi-tasking on smart phones (2015)
Presentation / Conference
Chia, S., Mandal, B., Xu, Q., Li, L., & Lim, J. (2015, August). Enhancing Social Interaction with Seamless Face Recognition on Google Glass: Leveraging opportunistic multi-tasking on smart phones. Poster presented at 17th International Conference on Human-Computer Interaction with Mobile Devices and Services Adjunct, Copenhagen, Denmark

Wearable devices offer immense opportunities in both consumer and enterprise domains due to the hands-free interaction modality and the ability to provide information in real-time. However, due to hardware limitations, it presents a notable challenge... Read More about Enhancing Social Interaction with Seamless Face Recognition on Google Glass: Leveraging opportunistic multi-tasking on smart phones.

Buckling of a coated elastic half-space when the coating and substrate have similar material properties (2015)
Journal Article
Fu, Y., & Ciarletta, P. (2015). Buckling of a coated elastic half-space when the coating and substrate have similar material properties. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, https://doi.org/10.1098/rspa.2014.0979

This study investigates the buckling of a uni-axially compressed neo-Hookean thin film bonded to a neo-Hookean substrate. Previous studies have shown that the elastic bifurcation is supercritical if r=µf/µs>1.74 and subcritical if r<1.74, where µf an... Read More about Buckling of a coated elastic half-space when the coating and substrate have similar material properties.

The spreading and stability of a surfactant-laden drop on an inclined prewetted substrate (2015)
Journal Article
Naire. (2015). The spreading and stability of a surfactant-laden drop on an inclined prewetted substrate. Journal of Fluid Mechanics, 5-24. https://doi.org/10.1017/S0022112005008104

We consider a viscous drop, loaded with an insoluble surfactant, spreading over a flat plane that is covered initially with a thin liquid film. Lubrication theory allows the flow to be modelled using coupled nonlinear evolution equations for the film... Read More about The spreading and stability of a surfactant-laden drop on an inclined prewetted substrate.

Multiprocessor speed scaling for jobs with arbitrary sizes and deadlines (2015)
Journal Article
Bell, P. C., & Wong, P. W. (2015). Multiprocessor speed scaling for jobs with arbitrary sizes and deadlines. Journal of Combinatorial Optimization, 29, 739 - 749. https://doi.org/10.1007/s10878-013-9618-8

In this paper we study energy efficient deadline scheduling on multiprocessors in which the processors consumes power at a rate of sa when running at speed s, where a=2. The problem is to dispatch jobs to processors and determine the speed and jobs t... Read More about Multiprocessor speed scaling for jobs with arbitrary sizes and deadlines.

On the 3D Rayleigh wave field on an elastic half-space subject to tangential surface loads (2015)
Journal Article
Ege, N., Erbaş, B., & Prikazchikov, D. (2015). On the 3D Rayleigh wave field on an elastic half-space subject to tangential surface loads. Zeitschrift für Angewandte Mathematik und Mechanik, 95(12), 1558-1565. https://doi.org/10.1002/zamm.201400211

This study is concerned with analysis of the Rayleigh wave field in a 3D isotropic elastic half-space subject to in-plane surface loading. The approach relies on the slow time perturbation of the general representation for the Rayleigh wave eigensolu... Read More about On the 3D Rayleigh wave field on an elastic half-space subject to tangential surface loads.

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.

A semi-analytical approach to Biot instability in a growing layer: Strain gradient correction, weakly non-linear analysis and imperfection sensitivity (2015)
Journal Article
Fu. (2015). A semi-analytical approach to Biot instability in a growing layer: Strain gradient correction, weakly non-linear analysis and imperfection sensitivity. International Journal of Non-Linear Mechanics, 38 - 45. https://doi.org/10.1016/j.ijnonlinmec.2015.03.002

Many experimental works have recently investigated the dynamics of crease formation during the swelling of long soft slabs attached to a rigid substrate. Mechanically, the spatially constrained growth provokes a residual strain distribution inside th... Read More about A semi-analytical approach to Biot instability in a growing layer: Strain gradient correction, weakly non-linear analysis and imperfection sensitivity.

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.

A Game Theoretic Optimization Framework for Home Demand Management Incorporating Local Energy Resources (2015)
Journal Article
Fan. (2015). A Game Theoretic Optimization Framework for Home Demand Management Incorporating Local Energy Resources. IEEE Transactions on Industrial Informatics, 353 - 362. https://doi.org/10.1109/TII.2015.2390035

Facilitated by advanced ICT infrastructure and optimization techniques, smart grid has the potential to bring significant benefits to the energy consumption management. This paper presents a game theoretic consumption scheduling framework based on th... Read More about A Game Theoretic Optimization Framework for Home Demand Management Incorporating Local Energy Resources.