All Outputs (6)

On non-locally elastic Rayleigh wave (2022)
Journal Article
Kaplunov, Prikazchikov, & Prikazchikova. (2022). On non-locally elastic Rayleigh wave. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, https://doi.org/10.1098/rsta.2021.0387

<jats:p>The Rayleigh-type wave solution within a widely used differential formulation in non-local elasticity is revisited. It is demonstrated that this wave solution does not satisfy the equations of motion for non-local stresses. A modified differe... Read More about On non-locally elastic Rayleigh wave.

Preface to "Advances in mathematical theory of thin structures" in memory of Professor Petr E. Tovstik (2022)
Journal Article
Bauer, S. M., Mikhasev, G., & Prikazchikov, D. A. (2022). Preface to "Advances in mathematical theory of thin structures" in memory of Professor Petr E. Tovstik. Mathematics and Mechanics of Solids, 27(9), 1635-1637. https://doi.org/10.1177/10812865221108284

On The Derivation Of A String Equation (2022)
Journal Article
Kaplunov, J., & Prikazchikov, D. A. (in press). On The Derivation Of A String Equation. Natsional'naya Akademiya Nauk Armenii. Izvestiya. Seriya Mekhanika / Proceedings of NAS RA: Mechanics, 75(1), 163-168. https://doi.org/10.54503/0002-3051-2022.75.1-2-163

Elastodynamics of a coated half-space under a sliding contact (2022)
Journal Article
Bratov, V., Kaplunov, J., Lapatsin, S., & Prikazchikov, D. (2022). Elastodynamics of a coated half-space under a sliding contact. Mathematics and Mechanics of Solids, 27(8), https://doi.org/10.1177/10812865221094425

The paper deals with elastic wave propagating in a layer on a half-space induced by a vertical force. The focus is on the effect of a sliding contact along the interface and its comparative study with a perfect one. The effective boundary conditions... Read More about Elastodynamics of a coated half-space under a sliding contact.

On Rayleigh wave field induced by surface stresses under the effect of gravity (2022)
Journal Article
Mubaraki, A., & Prikazchikov, D. (2022). On Rayleigh wave field induced by surface stresses under the effect of gravity. Mathematics and Mechanics of Solids, 27(9), 1771-1782. https://doi.org/10.1177/10812865221080550

The paper is concerned with development of the asymptotic formulation for surface wave field induced by vertical surface stress under the effect of gravity in the short-wave region. The approach relies on the methodology of hyperbolic-elliptic models... Read More about On Rayleigh wave field induced by surface stresses under the effect of gravity.

On integral and differential formulations in nonlocal elasticity (2022)
Journal Article
Prikazchikova, L., Kaplunov, J., & Prikazchikov, D. A. (2022). On integral and differential formulations in nonlocal elasticity. European Journal of Mechanics - A/Solids, 100, Article 104497. https://doi.org/10.1016/j.euromechsol.2021.104497

The paper is concerned with comparative analysis of differential and integral formulations for boundary value problems in nonlocal elasticity. For the sake of simplicity, the focus is on an antiplane problem for a half-space for an exponential kernel... Read More about On integral and differential formulations in nonlocal elasticity.