Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects

Kaplunov

doi:10.1098/rspa.2015.0800

All Outputs (5)

On steady-state moving load problems for an elastic half-space (2016)
Conference Proceeding
Bratov, V., Kaplunov, J., & Prikazchikov, D. A. (2016). On steady-state moving load problems for an elastic half-space. . https://doi.org/10.1109/dd.2016.7756819

Edge bending wave on a thin elastic plate resting on a Winkler foundation (2016)
Journal Article
Kaplunov, J., Prikazchikov, D., & Rogerson, G. (2016). Edge bending wave on a thin elastic plate resting on a Winkler foundation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472(2190), https://doi.org/10.1098/rspa.2016.0178

This paper is concerned with elucidation of the general properties of the bending edge wave in a thin linearly elastic plate that is supported by a Winkler foundation. A homogeneous wave of arbitrary profile is considered, and represented in terms of... Read More about Edge bending wave on a thin elastic plate resting on a Winkler foundation.

Vibrations of an elastic cylindrical shell near the lowest cut-off frequency (2016)
Journal Article
Kaplunov, J., Manevitch, L., & Smirnov, V. (2016). Vibrations of an elastic cylindrical shell near the lowest cut-off frequency. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472(2189), https://doi.org/10.1098/rspa.2015.0753

A new asymptotic approximation of the dynamic equations in the two-dimensional classical theory of thin-elastic shells is established for a circular cylindrical shell. It governs long wave vibrations in the vicinity of the lowest cut-off frequency. A... Read More about Vibrations of an elastic cylindrical shell near the lowest cut-off frequency.

Multi-parametric analysis of strongly inhomogeneous periodic waveguides with internal cutoff frequencies (2016)
Journal Article
Kaplunov. (2016). Multi-parametric analysis of strongly inhomogeneous periodic waveguides with internal cutoff frequencies. Mathematical Methods in the Applied Sciences, 3381-3392. https://doi.org/10.1002/mma.3900

In this paper, we consider periodic waveguides in the shape of a inhomogeneous string or beam partially supported by a uniform elastic Winkler foundation. A multi-parametric analysis is developed to take into account the presence of internal cutoff f... Read More about Multi-parametric analysis of strongly inhomogeneous periodic waveguides with internal cutoff frequencies.

Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects (2016)
Journal Article
Kaplunov. (2016). Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, https://doi.org/10.1098/rspa.2015.0800

The dynamic response of a homogeneous half-space, with a traction-free surface, is considered within the framework of non-local elasticity. The focus is on the dominant effect of the boundary layer on overall behaviour. A typical wavelength is assume... Read More about Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects.