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All Outputs (8)

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.

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.

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.

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.