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Dispersion of elastic waves in a layer interacting with a Winkler foundation (2018)
Journal Article
Kaplunov. (2018). Dispersion of elastic waves in a layer interacting with a Winkler foundation. Journal of the Acoustical Society of America, https://doi.org/10.1121/1.5079640

ABSTRACT
Dispersion of plane harmonic waves in an elastic layer interacting with a one- or two-sided Winkler foundation is analyzed. The long-wave low-frequency polynomial approximations of the full transcendental dispersion relations are derived fo... Read More about Dispersion of elastic waves in a layer interacting with a Winkler foundation.

Design of a chiral elastic structure supporting interfacial waveforms (2018)
Journal Article
Nieves, M., Garau, M., Carta, G., Jones, I., Movchan, N., & Movchan, A. (2018). Design of a chiral elastic structure supporting interfacial waveforms. https://doi.org/10.1109/MetaMaterials.2018.8534138

An infinite heterogeneous elastic triangular lattice connected to a non-uniform array of gyroscopic spinners is considered. An algorithm is described for generating interfacial waves that propagate along the boundaries of subdomains containing inhomo... Read More about Design of a chiral elastic structure supporting interfacial waveforms.

Asymptotic strategy for matching homogenized structures. Conductivity problem (2018)
Journal Article
Kolpakov, A. G., Andrianov, I. V., & Prikazchikov, D. A. (2018). Asymptotic strategy for matching homogenized structures. Conductivity problem. Quarterly Journal of Mechanics and Applied Mathematics, 71(4), 519-535. https://doi.org/10.1093/qjmam/hby017

The paper is concerned with application of the homogenization theory to bodies containing macroinhomogeneities or bodies, parts of which cannot be homogenized (partial homogenization). This situation arises, in particular, for problems of joining hom... Read More about Asymptotic strategy for matching homogenized structures. Conductivity problem.

Application of data science to inform surface engineering for in vitro neural stem cell control (2018)
Thesis
Joseph, G. Application of data science to inform surface engineering for in vitro neural stem cell control. (Thesis). Keele University. https://keele-repository.worktribe.com/output/412289

The interest in the clinical use of stem cell therapies is increasing rapidly, with a need for more control over cell populations cultured/expanded in vitro. This is particularly relevant for the treatment of neurological disorders such as Parkinson'... Read More about Application of data science to inform surface engineering for in vitro neural stem cell control.

Low-frequency vibrations of strongly inhomogeneous multicomponent elastic structures (2018)
Thesis
Sergushova, O. Low-frequency vibrations of strongly inhomogeneous multicomponent elastic structures. (Thesis). Keele University. https://keele-repository.worktribe.com/output/412021

The thesis deals with 1D and 2D scalar equations governing dynamic behaviour of strongly inhomogeneous layered structures. Harmonic vibrations of a composite rod and antiplane shear motions of a cylindrical body consisting of several components are s... Read More about Low-frequency vibrations of strongly inhomogeneous multicomponent elastic structures.

Nonlinear tubular organ modeling and analysis for tracheal angioedema by swelling-morphoelasticity (2018)
Journal Article
Fu. (2018). Nonlinear tubular organ modeling and analysis for tracheal angioedema by swelling-morphoelasticity. Journal of Engineering Mathematics, 95 - 117. https://doi.org/10.1007/s10665-018-9967-5

We study one of the important human tubular organs, the trachea, under deformation caused by the disease angioedema. This pathology can suddenly increase the volume of the trachea and cause serious breathing difficulty. Two popular theories, the swel... Read More about Nonlinear tubular organ modeling and analysis for tracheal angioedema by swelling-morphoelasticity.

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.

Making a maths degree work for the workplace (2018)
Journal Article
(2018). Making a maths degree work for the workplace. Higher Education Pedagogies, 403-416. https://doi.org/10.1080/23752696.2018.1499420

This article will provide ideas for teaching methods that aim to provide undergraduate students with the experience of working with mathematics in a business context. These teaching methods have been employed at a mainstream U.K. university in a fina... Read More about Making a maths degree work for the workplace.

A reduced model for electrodes-coated dielectric plates (2018)
Journal Article
Fu. (2018). A reduced model for electrodes-coated dielectric plates. International Journal of Non-Linear Mechanics, 60-69. https://doi.org/10.1016/j.ijnonlinmec.2018.09.001

We derive a reduced theory describing the incremental deformation of an electrodes-coated dielectric plate that takes the leading-order thickness effect into account. By focusing on deformations that are symmetric with respect to the mid-plane, a pow... Read More about A reduced model for electrodes-coated dielectric plates.

Reproducibility of Studies on Text Mining for Citation Screening in Systematic Reviews: Evaluation and Checklist (2018)
Journal Article
(2018). Reproducibility of Studies on Text Mining for Citation Screening in Systematic Reviews: Evaluation and Checklist. Journal of Biomedical Informatics, 1-13. https://doi.org/10.1016/j.jbi.2017.07.010

CONTEXT:
Independent validation of published scientific results through study replication is a pre-condition for accepting the validity of such results. In computation research, full replication is often unrealistic for independent results validatio... Read More about Reproducibility of Studies on Text Mining for Citation Screening in Systematic Reviews: Evaluation and Checklist.

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.

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.

Internal Resonances And Modes Interactions In Non-linear Vibrations Of Viscoelastic Heterogeneous Solids (2018)
Journal Article
(2018). Internal Resonances And Modes Interactions In Non-linear Vibrations Of Viscoelastic Heterogeneous Solids. Journal of Sound and Vibration, https://doi.org/10.1016/j.jsv.2018.06.048

The aim of the paper is to study how viscous damping influences mode coupling in non-linear vibrations of microstructured solids. As an illustrative example, natural longitudinal vibrations of a layered heterogeneous medium are considered. The macros... Read More about Internal Resonances And Modes Interactions In Non-linear Vibrations Of Viscoelastic Heterogeneous Solids.

Free vibrations of nonlocally elastic rods (2018)
Journal Article
Mikhasev, G., Avdeichik, E., & Prikazchikov, D. (2019). Free vibrations of nonlocally elastic rods. Mathematics and Mechanics of Solids, 24(5), 1279-1293. https://doi.org/10.1177/1081286518785942

Several of the Eringen’s nonlocal stress models, including two-phase and purely nonlocal integral
models, along with the simplified differential model, are studied in case of free longitudinal vibrations
of a nanorod, for various types of boundary... Read More about Free vibrations of nonlocally elastic rods.

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.

Composite wave models for elastic plates (2018)
Journal Article
Kaplunov. (2018). Composite wave models for elastic plates. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, https://doi.org/10.1098/rspa.2018.0103

The long-term challenge of formulating an asymptotically motivated wave theory for elastic plates is addressed. Composite two-dimensional models merging the leading or higher-order parabolic equations for plate bending and the hyperbolic equation for... Read More about Composite wave models for elastic plates.

Global instability of mixing layers created by confinement (2018)
Thesis
Danyi, R. Global instability of mixing layers created by confinement. (Thesis). Keele University. https://keele-repository.worktribe.com/output/411348

This problem is concerned with the inviscid linear stability of parallel stratified shear layer. Most flows do not form well-defined layers, but have density and/or velocity that varies smoothly and continuously with a spatial coordinate. Even in the... Read More about Global instability of mixing layers created by confinement.

Asymptotic models for elastic solids taking into account nonlocal boundary layers (2018)
Thesis
Chebakov, R. Asymptotic models for elastic solids taking into account nonlocal boundary layers. (Thesis). Keele University. https://keele-repository.worktribe.com/output/411338

The thesis is aimed at asymptotic analysis of the near-surface boundary layers in non-locally elastic solids. The dynamic response of a homogeneous half-space with a traction-free surface is analysed for a nonlocal exponential kernel. A typical wave-... Read More about Asymptotic models for elastic solids taking into account nonlocal boundary layers.

An asymptotic higher-order theory for rectangular beams (2018)
Journal Article
Nolde, E., Pichugin, A., & Kaplunov, J. (2018). An asymptotic higher-order theory for rectangular beams. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 474(2214), https://doi.org/10.1098/rspa.2018.0001

A direct asymptotic integration of the full three-dimensional problem of elasticity is employed to derive a consistent governing equation for a beam with the rectangular cross section. The governing equation is consistent in the sense that it has the... Read More about An asymptotic higher-order theory for rectangular beams.