Julius Kaplunov's Outputs (15)

Interfacial Wave on a Composite Membrane Resting on a Winkler Foundation (2025)
Book Chapter
Wootton, P., Prikazchikov, D., & Kaplunov, J. (2025). Interfacial Wave on a Composite Membrane Resting on a Winkler Foundation. In Dynamics of Discrete and Continuum Structures and Media (679-688). Springer Nature [academic journals on nature.com]. https://doi.org/10.1007/978-3-031-75626-9_35

Time-harmonic interfacial waves on a composite elastic membrane supported by a weak Winkler foundation are studied. The membrane is comprised of two identical semi-infinite parts connected by a narrow strip having distinct material properties. The as... Read More about Interfacial Wave on a Composite Membrane Resting on a Winkler Foundation.

The Effect of the Boundary Conditions on Free Vibrations of a String Resting on a Winkler Foundation (2025)
Book Chapter
Dykes, M., Kaplunov, J., & Prikazchikov, D. (2025). The Effect of the Boundary Conditions on Free Vibrations of a String Resting on a Winkler Foundation. In Current Developments in Solid Mechanics and Their Applications (119-128). (1). Springer Nature [academic journals on nature.com]. https://doi.org/10.1007/978-3-031-90022-8_8

The Sturm-Liouville boundary value problem modelling free vibrations of a string resting on a Winkler foundation is studied. The string is assumed to be supported by springs attached to its ends. Along with the conventional elastic springs, those wit... Read More about The Effect of the Boundary Conditions on Free Vibrations of a String Resting on a Winkler Foundation.

Two-Parametric Analysis of a Semi-Infinite Three-Layered High-Contrast Elastic Strip Under Antiplane Shear Deformation (2024)
Book Chapter
Chernomorets, I., Kaplunov, J., & Prikazchikov, D. (2024). Two-Parametric Analysis of a Semi-Infinite Three-Layered High-Contrast Elastic Strip Under Antiplane Shear Deformation. In Selected Problems of Solid Mechanics and Solving Methods (99-109). Springer. https://doi.org/10.1007/978-3-031-54063-9_7

Antiplane shear of a symmetric three-layered elastic semi-strip under the self-equilibrated edge load is studied. The arbitrary ratios of thickness and stiffness are considered, with emphasis on high-contrast scenario; in doing so, two aforementioned... Read More about Two-Parametric Analysis of a Semi-Infinite Three-Layered High-Contrast Elastic Strip Under Antiplane Shear Deformation.

The Lowest Eigenfrequencies of an Immersed Thin Elastic Cylindrical Shell (2023)
Book Chapter
Yücel, H., Erbaş, B., Ege, N., & Kaplunov, J. (2023). The Lowest Eigenfrequencies of an Immersed Thin Elastic Cylindrical Shell. In Advances in Linear and Nonlinear Continuum and Structural Mechanics (559-571). Springer. https://doi.org/10.1007/978-3-031-43210-1_31

The plane strain time-harmonic motion of an immersed cylindrical elastic shell is considered. The revisit to this classical problem is motivated by modern technical applications, including the investigation of low-frequency band gaps arising at acous... Read More about The Lowest Eigenfrequencies of an Immersed Thin Elastic Cylindrical Shell.

2D Asymptotic Analysis of a Thin Elastic Beam with Density-Dependent Generalized Young’s Modulus (2023)
Book Chapter
Erbaş, B., Kaplunov, J., & Rajagopal, K. R. (2023). 2D Asymptotic Analysis of a Thin Elastic Beam with Density-Dependent Generalized Young’s Modulus. In Mechanics of Heterogeneous Materials (501-513). Springer. https://doi.org/10.1007/978-3-031-28744-2_22

The elastic equilibrium of a thin elastic beam is studied using asymptotic analysis starting from a 2D formulation within the context of plane elasticity. The aim of the paper is to elucidate the influence of density and hence small volume strain of... Read More about 2D Asymptotic Analysis of a Thin Elastic Beam with Density-Dependent Generalized Young’s Modulus.

Some aspects of wave propagation in a fluid-loaded membrane (2022)
Book Chapter
Kaplunov, J., Prikazchikova, L., & Shamsi, S. (2022). Some aspects of wave propagation in a fluid-loaded membrane. . Elsevier. https://doi.org/10.1016/b978-0-32-390543-5.00015-3

Dispersion of the Bending Wave in a Fluid-loaded Elastic Layer (2022)
Book Chapter
Kaplunov, J., Prikazchikova, L., & Shamsi, S. (2022). Dispersion of the Bending Wave in a Fluid-loaded Elastic Layer. In Advances in Solid and Fracture Mechanics (127 - 134). (1). Springer. https://doi.org/10.1007/978-3-031-18393-5_8

A plane strain problem is considered for an elastic layer immersed into a compressible fluid. The dispersion relation for anti-symmetric waves is studied. The associated three-term long-wave low-frequency expansion for a fluid-borne bending wave is d... Read More about Dispersion of the Bending Wave in a Fluid-loaded Elastic Layer.

Dynamic Sliding Contact for a Thin Elastic Layer (2022)
Book Chapter
Kaplunov, J., Prikazchikov, D. A., & Savšek, T. (2022). Dynamic Sliding Contact for a Thin Elastic Layer. In Recent Approaches in the Theory of Plates and Plate-Like Structures (103-114). Springer. https://doi.org/10.1007/978-3-030-87185-7_9

Bridging Waves on a Membrane: An Approach to Preserving Wave Patterns (2021)
Book Chapter
Wootton, P., & Kaplunov, J. Bridging Waves on a Membrane: An Approach to Preserving Wave Patterns. In Modern Trends in Structural and Solid Mechanics 2: Vibrations (203-229). Wiley. https://doi.org/10.1002/9781119831860.ch9

This chapter introduces a novel metamaterial intended to “bridge” a gap between two membranes using a periodic array of strings, with the aim of identically reproducing an incident wave form on the other side of the void. It also introduces an elasti... Read More about Bridging Waves on a Membrane: An Approach to Preserving Wave Patterns.

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

Asymptotic Theory for Rayleigh and Rayleigh-Type Waves (2017)
Book Chapter
Kaplunov, J., & Prikazchikov, D. A. (2017). Asymptotic Theory for Rayleigh and Rayleigh-Type Waves. In Advances in Applied Mechanics (1-106). Elsevier. https://doi.org/10.1016/bs.aams.2017.01.001

Explicit asymptotic formulations are derived for Rayleigh and Rayleigh-type interfacial and edge waves. The hyperbolic–elliptic duality of surface and interfacial waves is established, along with the parabolic–elliptic duality of the dispersive edge... Read More about Asymptotic Theory for Rayleigh and Rayleigh-Type Waves.

Lowest Vibration Modes of Strongly Inhomogeneous Elastic Structures (2017)
Book Chapter
Kaplunov, J., Prikazchikov, D. A., & Sergushova, O. (2017). Lowest Vibration Modes of Strongly Inhomogeneous Elastic Structures. . Springer International Publishing. https://doi.org/10.1007/978-3-319-56050-2_14

Nonlinear elastic waves in a fibre-reinforced composite with an imperfect interface (2015)
Book Chapter
Kaplunov, J. (2015). Nonlinear elastic waves in a fibre-reinforced composite with an imperfect interface. In Dynamical Systems. Control and Stability

Explicit Models for Surface, Interfacial and Edge Waves (2013)
Book Chapter
Kaplunov, J., & Prikazchikov, D. A. (2013). Explicit Models for Surface, Interfacial and Edge Waves. . Springer Vienna. https://doi.org/10.1007/978-3-7091-1619-7_3