Julius Kaplunov's Outputs (4)

Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation (2021)
Journal Article
Erbas, B., Kaplunov, J., & Elishakoff, I. (2022). Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation. Mathematics and Mechanics of Solids, 27(9), 1638-1648. https://doi.org/10.1177/10812865211023885

A two-dimensional mixed problem for a thin elastic strip resting on a Winkler foundation is considered within the framework of plane stress setup. The relative stiffness of the foundation is supposed to be small to ensure low-frequency vibrations. As... Read More about Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation.

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.

Modern Trends in Structural and Solid Mechanics 1: Statics and Stability (Ed. J Kaplunov) (2021)
Book
Kaplunov, J. (2021). N. Challamel, J. Kaplunov, & I. Takewaki (Eds.). Modern Trends in Structural and Solid Mechanics 1: Statics and Stability (Ed. J Kaplunov). Wiley. https://doi.org/10.1002/9781119831891

Antiplane shear of an asymmetric sandwich plate (2021)
Journal Article
Prikazchikova, L., Kaplunov, J., & Alkinidri, M. (2021). Antiplane shear of an asymmetric sandwich plate. Continuum Mechanics and Thermodynamics, 33, 1247–1262. https://doi.org/10.1007/s00161-021-00969-6

<jats:title>Abstract</jats:title><jats:p>An asymmetric three-layered laminate with prescribed stresses along the faces is considered. The outer layers are assumed to be much stiffer than the inner one. The focus is on long-wave low-frequency anti-pla... Read More about Antiplane shear of an asymmetric sandwich plate.