Effects of pre-stretch, compressibility and material constitution on the period-doubling secondary bifurcation of a film/substrate bilayer (2019)
Journal Article
Cai, Z., & Fu, Y. (2019). Effects of pre-stretch, compressibility and material constitution on the period-doubling secondary bifurcation of a film/substrate bilayer. International Journal of Non-Linear Mechanics, 11 -19. https://doi.org/10.1016/j.ijnonlinmec.2019.05.001

We refine a previously proposed semi-analytical method, and use it to study the effects of pre-stretch, compressibility and material constitution on the period-doubling secondary bifurcation of a uni-axially compressed film/substrate bilayer structur... Read More about Effects of pre-stretch, compressibility and material constitution on the period-doubling secondary bifurcation of a film/substrate bilayer.

Rayleigh-type waves on a coated elastic half-space with a clamped surface (2019)
Journal Article
Kaplunov, & Prikazchikov. (2019). Rayleigh-type waves on a coated elastic half-space with a clamped surface. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, https://doi.org/10.1098/rsta.2019.0111

Elastodynamics of a half-space coated by a thin soft layer with a clamped upper face is considered. The focus is on the analysis of localised waves that do not exist on a clamped homogeneous halfspace. Non-traditional effective boundary conditions a... Read More about Rayleigh-type waves on a coated elastic half-space with a clamped surface.

An Ill-posed Cauchy Type Problem for an Elastic Strip (2019)
Journal Article
(2019). An Ill-posed Cauchy Type Problem for an Elastic Strip. Mathematics and Mechanics of Solids,

This study deals with an incorrectly posed, plane elasticity, boundary value problem for a strip. The strip is loaded by a concentrated load of known intensity applied to one side and the displacements on this side are also known. The problem is ther... Read More about An Ill-posed Cauchy Type Problem for an Elastic Strip.

Neuroevolution of Humanoids that Walk Further and Faster with Robust Gaits (2019)
Journal Article
Channon. (2019). Neuroevolution of Humanoids that Walk Further and Faster with Robust Gaits. Artificial Life, 543 - 550. https://doi.org/10.1162/isal_a_00219

Bipedal locomotion requires precise rhythm and balance. Here we demonstrate two fitness-function enhancements applied to OpenAI?s 3D Humanoid-v1 walking task using a replica of Salimans et al.?s evolution strategy (Salimans et al., 2017). The first e... Read More about Neuroevolution of Humanoids that Walk Further and Faster with Robust Gaits.

A composite hyperbolic equation for plate extension (2019)
Journal Article
Kaplunov. (2019). A composite hyperbolic equation for plate extension. Mechanics Research Communications, 64-67. https://doi.org/10.1016/j.mechrescom.2019.06.008

A fourth-order inhomogeneous hyperbolic equation modeling the symmetric motion of a thin elastic plate subject to shear stresses prescribed along its faces is derived. The shortened forms of this equation govern the quasi-front, i.e. dispersive wave-... Read More about A composite hyperbolic equation for plate extension.

Fractal sets of neutral curves for stably-stratified plane Couette flow (2019)
Journal Article
Healey. (2019). Fractal sets of neutral curves for stably-stratified plane Couette flow. Journal of Fluid Mechanics, 697-728. https://doi.org/10.1017/jfm.2019.377

The linear stability of plane Couette flow is investigated when the plates are horizontal, and the fluid is stably stratified with a cubic basic density profile. The disturbances are treated as inviscid and diffusion of the density field is neglected... Read More about Fractal sets of neutral curves for stably-stratified plane Couette flow.

Basic singular fields in the theory of impulsive supersonic leading-edge noise (2019)
Journal Article
Chapman, C., & Powles, C. (2019). Basic singular fields in the theory of impulsive supersonic leading-edge noise. Wave Motion, 79-92. https://doi.org/10.1016/j.wavemoti.2019.03.003

This paper determines the impulsive sound fields produced by sharp-edged gusts striking the leading edge of a supersonic blade or aerofoil, for example in a turbofan aeroengine or a counter-rotating propeller system. A full three-dimensional theory i... Read More about Basic singular fields in the theory of impulsive supersonic leading-edge noise.

An experimental study of localized bulging in inflated cylindrical tubes guided by newly emerged analytical results (2019)
Journal Article
Wang, S., Guo, Z., Zhou, L., Li, L., & Fu, Y. (2019). An experimental study of localized bulging in inflated cylindrical tubes guided by newly emerged analytical results. Journal of the Mechanics and Physics of Solids, 536-554. https://doi.org/10.1016/j.jmps.2018.11.011

An experimental study is conducted on localized bulging of inflated latex rubber tubes of a range of wall thicknesses and tube lengths, guided by newly emerged analytical results. In the case when the tube has one free closed end that may or may not... Read More about An experimental study of localized bulging in inflated cylindrical tubes guided by newly emerged analytical results.

The lowest vibration spectra of multi-component structures with contrast material properties (2019)
Journal Article
Prikazchikov, & Kaplunov. (2019). The lowest vibration spectra of multi-component structures with contrast material properties. Journal of Sound and Vibration, 132 -147. https://doi.org/10.1016/j.jsv.2019.01.013

The paper is concerned with the lowest vibration modes of multi-component rods and cylinders with alternating high contrast material properties of the components. It is demonstrated that these modes correspond to almost rigid body motions of the “sti... Read More about The lowest vibration spectra of multi-component structures with contrast material properties.

Vibrations and elastic waves in chiral multi-structures (2018)
Journal Article
Nieves, M., Carta, G., Jones, I., Movchan, A., & Movchan, N. (2018). Vibrations and elastic waves in chiral multi-structures. Journal of the Mechanics and Physics of Solids, 387-408. https://doi.org/10.1016/j.jmps.2018.07.020

We develop a new asymptotic model of the dynamic interaction between an elastic structure and a system of gyroscopic spinners that make the overall multi-structure chiral. An important result is the derivation and analysis of effective chiral boundar... Read More about Vibrations and elastic waves in chiral multi-structures.

An evaluation of the Gent and Gent-Gent material models using inflation of a plane membrane (2018)
Journal Article
Fu. (2018). An evaluation of the Gent and Gent-Gent material models using inflation of a plane membrane. International Journal of Mechanical Sciences, 39-48. https://doi.org/10.1016/j.ijmecsci.2018.07.035

The Gent material model is the simplest extension of the neo-Hookean material model that can describe the finite extensibility of the polymeric chains comprising the elastomer network. However, it is known that its fitting to experimental results of... Read More about An evaluation of the Gent and Gent-Gent material models using inflation of a plane membrane.

Hyperbolic-elliptic model for surface wave in a pre-stressed incompressible elastic half-space (2018)
Journal Article
Khajiyeva, L., Prikazchikov, D., & Prikazchikova, L. (2018). Hyperbolic-elliptic model for surface wave in a pre-stressed incompressible elastic half-space. Mechanics Research Communications, 92, 49-53. https://doi.org/10.1016/j.mechrescom.2018.07.006

The paper aims at derivation of the asymptotic model for surface wave propagating in a pre-stressed incompressible elastic half-space, subject to prescribed surface loading. The approach relies on the slow-time perturbation procedure, extending the p... Read More about Hyperbolic-elliptic model for surface wave in a pre-stressed incompressible elastic half-space.

Interfacial waveforms in chiral lattices with gyroscopic spinners (2018)
Journal Article
Garau, M., Carta, G., Nieves, M., Jones, I., Movchan, N., & Movchan, A. (2018). Interfacial waveforms in chiral lattices with gyroscopic spinners. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 474(2215), https://doi.org/10.1098/rspa.2018.0132

We demonstrate a new method of achieving topologically protected states in an elastic hexagonal system of trusses by attaching gyroscopic spinners, which bring chirality to the system. Dispersive features of this medium are investigated in detail, an... Read More about Interfacial waveforms in chiral lattices with gyroscopic spinners.

An asymptotic strategy to couple homogenized elastic structures (2018)
Journal Article
(2018). An asymptotic strategy to couple homogenized elastic structures. International Journal of Engineering Science, 26-39. https://doi.org/10.1016/j.ijengsci.2018.04.006

A two-scale methodology to calculate the local stress-strain state (SSS) in structures composed of connected elements is proposed. The methodology is based on the assumption that the connecting unit has a size small in comparison to the objects being... Read More about An asymptotic strategy to couple homogenized elastic structures.

Elastic Waves in Periodically Heterogeneous Two-dimensional Media: Locally Periodic and Anti-periodic Modes (2018)
Journal Article
(2018). Elastic Waves in Periodically Heterogeneous Two-dimensional Media: Locally Periodic and Anti-periodic Modes. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, https://doi.org/10.1098/rspa.2017.0908

Propagation of anti-plane waves through a discrete square lattice and through a continuous fibrous medium is studied. In the long-wave limit, for periodically heterogeneous structures the solution can be periodic or anti-periodic across the unit cell... Read More about Elastic Waves in Periodically Heterogeneous Two-dimensional Media: Locally Periodic and Anti-periodic Modes.

Spectral evolution of weakly nonlinear random waves: kinetic description versus direct numerical simulations (2018)
Journal Article
Annenkov, S. Y., & Shrira, V. I. (2018). Spectral evolution of weakly nonlinear random waves: kinetic description versus direct numerical simulations. Journal of Fluid Mechanics, 844, 766 -795. https://doi.org/10.1017/jfm.2018.185

Kinetic equations are widely used in many branches of science to describe the evolution of random wave spectra. To examine the validity of these equations, we study numerically the long-term evolution of water wave spectra without wind input using th... Read More about Spectral evolution of weakly nonlinear random waves: kinetic description versus direct numerical simulations.

Elastic Chiral Waveguides with Gyro-Hinges (2018)
Journal Article
Carta, G., Nieves, M. J., Jones, I. S., Movchan, N. V., & Movchan, A. B. (2018). Elastic Chiral Waveguides with Gyro-Hinges. Quarterly Journal of Mechanics and Applied Mathematics, 157 - 185. https://doi.org/10.1093/qjmam/hby001

This article presents a novel chiral structure, consisting of Euler–Bernoulli beams connected to gyroscopic spinners. A new type of boundary condition is introduced, which is referred to as a gyro-hinge. In this system, flexural waves are coupled wit... Read More about Elastic Chiral Waveguides with Gyro-Hinges.

Layer formation in horizontally forced stratified turbulence: connecting exact coherent structures to linear instabilities (2017)
Journal Article
(2017). Layer formation in horizontally forced stratified turbulence: connecting exact coherent structures to linear instabilities. Journal of Fluid Mechanics, 409-437. https://doi.org/10.1017/jfm.2017.661

We consider turbulence in a stratified \u2018Kolmogorov\u2019 flow, driven by horizontal shear in the form of sinusoidal body forcing in the presence of an imposed background linear stable stratification in the third direction. This flow configuratio... Read More about Layer formation in horizontally forced stratified turbulence: connecting exact coherent structures to linear instabilities.

Irreversible mixing by unstable periodic orbits in buoyancy dominated stratified turbulence (2017)
Journal Article
(2017). Irreversible mixing by unstable periodic orbits in buoyancy dominated stratified turbulence. Journal of Fluid Mechanics, https://doi.org/10.1017/jfm.2017.695

We consider turbulence driven by a large-scale horizontal shear in Kolmogorov flow (i.e. with sinusoidal body forcing) and a background linear stable stratification with buoyancy frequency N-B(2) imposed in the third, vertical direction in a fluid wi... Read More about Irreversible mixing by unstable periodic orbits in buoyancy dominated stratified turbulence.

On surface wave fields arising in soil-structure interaction problems (2017)
Journal Article
Ege, N., Erbas, B., Chorozoglou, A., Kaplunov, J., & Prikazchikov, D. A. (2017). On surface wave fields arising in soil-structure interaction problems. Procedia Engineering, 199, 2366 -2371. https://doi.org/10.1016/j.proeng.2017.09.253

Abstract The paper aims at generalization of the specialized formulation, originally developed for the surface wave fields induced by prescribed surface stresses. We extend this formulation to soil-structure interaction problems with unknown contact... Read More about On surface wave fields arising in soil-structure interaction problems.