Julius Kaplunov's Outputs (88)

Reduced model for the surface dynamics of a generally anisotropic elastic half-space (2020)
Journal Article
Prikazchikov, Kaplunov, & Fu. (2020). Reduced model for the surface dynamics of a generally anisotropic elastic half-space. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 20190590 - 20190590. https://doi.org/10.1098/rspa.2019.0590

Near-surface resonance phenomena often arise in semi-infinite solids. For instance, when a moving load with a speed v close to the surface wave speed vR is applied to the surface of an elastic half-space, it will give rise to a large-amplitude distur... Read More about Reduced model for the surface dynamics of a generally anisotropic elastic half-space.

On the dynamics of drilling (2020)
Journal Article
Kaplunov, J., Khajiyeva, L., Martyniuk, M., & Sergaliyev, A. (2020). On the dynamics of drilling. International Journal of Engineering Science, 146, 103184. https://doi.org/10.1016/j.ijengsci.2019.103184

Multi-parametric dynamic analysis of lightweight elastic laminates (2019)
Journal Article
Prikazchikov, D., Kaplunov, J., & Prikazchikova, L. (2019). Multi-parametric dynamic analysis of lightweight elastic laminates. IOP Conference Series: Materials Science and Engineering, https://doi.org/10.1088/1757-899X/683/1/012014

Multi-parametric asymptotic analysis of dynamic phenomena in lightweight three-layered structures is performed. The presence of high contrast in densities of skin and core layers may lead to the small value of the lowest shear thickness resonance fre... Read More about Multi-parametric dynamic analysis of lightweight elastic laminates.

The lowest vibration modes of an elastic beam composed of alternating stiff and soft components (2019)
Journal Article
Şahin, O., Erbaş, B., Kaplunov, J., & Savšek, T. (2020). The lowest vibration modes of an elastic beam composed of alternating stiff and soft components. Archive of Applied Mechanics, 90(2), 339-352. https://doi.org/10.1007/s00419-019-01612-2

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.

Composite dynamic models for periodically heterogeneous media (2019)
Journal Article
Kaplunov. (2019). Composite dynamic models for periodically heterogeneous media. Mathematics and Mechanics of Solids, 2663-2693. https://doi.org/10.1177/1081286518776704

Propagation of elastic waves through discrete and continuous periodically heterogeneous media is studied. A two-scale asymptotic procedure allows us to derive macroscopic dynamic equations applicable at frequencies close to the resonant frequencies o... Read More about Composite dynamic models for periodically heterogeneous media.

The edge bending wave on a plate reinforced by a beam (L). (2019)
Journal Article
Kaplunov. (2019). The edge bending wave on a plate reinforced by a beam (L). Journal of the Acoustical Society of America, 1061 - ?. https://doi.org/10.1121/1.5121315

The edge bending wave on a thin isotropic semi-infinite plate reinforced by a beam is considered within the framework of the classical plate and beam theories. The boundary conditions at the plate edge incorporate both dynamic bending and twisting of... Read More about The edge bending wave on a plate reinforced by a beam (L)..

An asymptotic hyperbolic-elliptic model for flexural-seismic metasurfaces. (2019)
Journal Article
Wootton, P., Kaplunov, J., & Colquitt, D. (2019). An asymptotic hyperbolic-elliptic model for flexural-seismic metasurfaces. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 475(2227), https://doi.org/10.1098/rspa.2019.0079

We consider a periodic array of resonators, formed from Euler-Bernoulli beams, attached to the surface of an elastic half-space. Earlier studies of such systems have concentrated on compressional resonators. In this paper, we consider the effect of t... Read More about An asymptotic hyperbolic-elliptic model for flexural-seismic metasurfaces..

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.

Scale effect and higher-order boundary conditions for generalized lattices, with direct and indirect interactions (2019)
Journal Article
Challamel, N., Zhang, H., Wang, C., & Kaplunov, J. (2019). Scale effect and higher-order boundary conditions for generalized lattices, with direct and indirect interactions. Mechanics Research Communications, 97, 1-7. https://doi.org/10.1016/j.mechrescom.2019.04.002

Elastic bending wave on the edge of a semi-infinite plate reinforced by a strip plate (2019)
Journal Article
Alzaidi, A. S., Kaplunov, J., & Prikazchikova, L. (2019). Elastic bending wave on the edge of a semi-infinite plate reinforced by a strip plate. Mathematics and Mechanics of Solids, 24(10), 3319-3330. https://doi.org/10.1177/1081286519840687

Elastic contact of a stiff thin layer and a half-space (2019)
Journal Article
Kaplunov, J., Prikazchikov, D., & Sultanova, L. (2019). Elastic contact of a stiff thin layer and a half-space. Zeitschrift für angewandte Mathematik und Physik, 70, Article 22. https://doi.org/10.1007/s00033-018-1068-9

The 3D problem in linear elasticity for a layer lying on a half-space is subject to a two-parametric asymptotic treatment using the small parameters corresponding to the relative thickness of the layer and stiffness of the foundation. General scaling... Read More about Elastic contact of a stiff thin layer and a half-space.

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.

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.

Approximate analysis of surface wave-structure interaction (2018)
Journal Article
Ege, N., Erbaş, B., Kaplunov, J., & Wootton, P. Approximate analysis of surface wave-structure interaction. Journal of Mechanics of Materials and Structures, 13(3), 297-309. https://doi.org/10.2140/jomms.2018.13.297

Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate (2018)
Journal Article
Prikazchikova, L., Ece Aydın, Y., Erbaş, B., & Kaplunov, J. (2018). Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate. Mathematics and Mechanics of Solids, 25(1), 3-16. https://doi.org/10.1177/1081286518790804

Anti-plane dynamic shear of a strongly inhomogeneous dynamic laminate with traction-free faces is
analysed. Two types of contrast are considered, including those for composite structures with stiff thick or thin outer layers. In both cases, the valu... Read More about Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate.

On Higher Order Effective Boundary Conditions for a Coated Elastic Half-Space (2018)
Book Chapter
Kaplunov, J., Prikazchikov, D., & Sultanova, L. (2019). On Higher Order Effective Boundary Conditions for a Coated Elastic Half-Space. . Springer International Publishing. https://doi.org/10.1007/978-3-319-92234-8_25

Wide Frequency Higher-Order Dynamic Model for Transient Waves in a Lattice (2018)
Book Chapter
Andrianov, I. V., Danishevskyy, V. V., Kaplunov, J. D., & Markert, B. (2019). Wide Frequency Higher-Order Dynamic Model for Transient Waves in a Lattice. . Springer International Publishing. https://doi.org/10.1007/978-3-319-92234-8_1

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.

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.