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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.

Edge bending waves on an orthotropic elastic plate resting on the Winkler-Fuss foundation (2016)
Journal Article
Prikazchikov, D., & Altobaiti, S. (2016). Edge bending waves on an orthotropic elastic plate resting on the Winkler-Fuss foundation

The propagation of bending edge waves on an orthotropic plate supported by the Winkler-Fuss foundation subject to free edge boundary conditions is investigated. A dispersion relation is derived, with the analysis revealing a cut-off frequency and a l... Read More about Edge bending waves on an orthotropic elastic plate resting on the Winkler-Fuss foundation.

Buckling of a spherical shell under external pressure and inward concentrated load: asymptotic solution (2016)
Journal Article
Evkin, A., Kolesnikov, M., & Prikazchikov, D. A. (2016). Buckling of a spherical shell under external pressure and inward concentrated load: asymptotic solution. Mathematics and Mechanics of Solids, 22(6), 1425-1437. https://doi.org/10.1177/1081286516635872

An asymptotic solution is suggested for a thin isotropic spherical shell subject to uniform external pressure and concentrated load. The pressure is the main load and a concentrated lateral load is considered as a perturbation that decreases buckling... Read More about Buckling of a spherical shell under external pressure and inward concentrated load: asymptotic solution.