Outputs (4)

Elastic waves in periodically anisotropic heterogeneous media: bridge the gap between rigorous and phenomenological approaches (2024)
Conference Proceeding
Andrianov, I., Danishevskyy, V., Kaplunov, J., & Kirichek, Y. (2024). Elastic waves in periodically anisotropic heterogeneous media: bridge the gap between rigorous and phenomenological approaches. . https://doi.org/10.1088/1742-6596/2647/25/252034

Despite the growing capacity of computer codes, analytical solutions are still of great interest. As a rule, they are based on certain asymptotic approximations. In our work, we use a two-scale asymptotic procedure. Anti-plane shear waves in a layere... Read More about Elastic waves in periodically anisotropic heterogeneous media: bridge the gap between rigorous and phenomenological approaches.

Transverse compression of a thin elastic disc (2024)
Journal Article
Alzaidi, A. S. M., Kaplunov, J., Nikonov, A., & Zupančič, B. (2024). Transverse compression of a thin elastic disc. Zeitschrift für angewandte Mathematik und Physik, 75(3), Article 116. https://doi.org/10.1007/s00033-024-02238-3

The mathematical formulations for transverse compression of a thin elastic disc are considered, including various boundary conditions along the faces of the disc. The mixed boundary conditions corresponding to the loading by normal stresses in absenc... Read More about Transverse compression of a thin elastic disc.

A revisit to the plane problem for low-frequency acoustic scattering by an elastic cylindrical shell (2024)
Journal Article
Yücel, H., Ege, N., Erbaş, B., & Kaplunov, J. (in press). A revisit to the plane problem for low-frequency acoustic scattering by an elastic cylindrical shell. Mathematics and Mechanics of Solids, https://doi.org/10.1177/10812865241233737

The proposed revisit to a classical problem in fluid–structure interaction is due to an interest in the analysis of the narrow resonances corresponding to a low-frequency fluid-borne wave, inspired by modeling and design of metamaterials. In this cas... Read More about A revisit to the plane problem for low-frequency acoustic scattering by an elastic cylindrical shell.

Elastic bending and transverse compression of a thin plate with density-dependent Young’s modulus (2024)
Journal Article
Erbaş, B., Kaplunov, J., & Rajagopal, K. R. (2024). Elastic bending and transverse compression of a thin plate with density-dependent Young’s modulus. International Journal of Non-Linear Mechanics, 160, Article 104651. https://doi.org/10.1016/j.ijnonlinmec.2024.104651

The equilibrium equation governing the plane strain static problem for a thin elastic layer is studied using asymptotic analysis for a material with generalized Young’s modulus weakly dependent on the mass density. Within the context of the adopted s... Read More about Elastic bending and transverse compression of a thin plate with density-dependent Young’s modulus.