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Liudmila Prikazchikova's Outputs (3)

On the refined boundary condition at the edge of a thin elastic strip supported by a Winkler-type foundation under antiplane shear deformation (2024)
Journal Article
Prikazchikova, L., Nolde, E., Miszuris, W., & Kaplunov, J. (2024). On the refined boundary condition at the edge of a thin elastic strip supported by a Winkler-type foundation under antiplane shear deformation. International Journal of Engineering Science, 205, Article 104152. https://doi.org/10.1016/j.ijengsci.2024.104152

The derivation of the boundary conditions is the most challenging part of the asymptotic techniques underlying low-dimensional models for thin elastic structures. At the moment, these techniques do not take into consideration the effect of the enviro... Read More about On the refined boundary condition at the edge of a thin elastic strip supported by a Winkler-type foundation under antiplane shear deformation.

Low-frequency propagating and evanescent waves in strongly inhomogeneous sandwich plates (2024)
Journal Article
Prikazchikova, L., Rege, A., Kaplunov, J., & Prikazchikov, D. (2024). Low-frequency propagating and evanescent waves in strongly inhomogeneous sandwich plates. Zeitschrift für angewandte Mathematik und Physik, 75, 1-14. https://doi.org/10.1007/s00033-024-02347-z

The paper aims at studying dispersion of elastic waves in a sandwich plate with the parameters, characteristic of aerogel core and hard skin layers, typical for aerospace applications including optimal design of fuselage structural components. The pr... Read More about Low-frequency propagating and evanescent waves in strongly inhomogeneous sandwich plates.

Asymptotic Analysis of an Elastic Layer under Light Fluid Loading (2024)
Journal Article
Shamsi, S., & Prikazchikova, L. (in press). Asymptotic Analysis of an Elastic Layer under Light Fluid Loading. Mathematics, 12(10), Article 1465. https://doi.org/10.3390/math12101465

Asymptotic analysis for an elastic layer under light fluid loading was developed. The ratio of fluid and solid densities was chosen as the main small parameter determining a novel scaling. The leading- and next-order approximations were derived from... Read More about Asymptotic Analysis of an Elastic Layer under Light Fluid Loading.