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Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation (2021)
Journal Article
Erbas, B., Kaplunov, J., & Elishakoff, I. (2022). Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation. Mathematics and Mechanics of Solids, 27(9), 1638-1648. https://doi.org/10.1177/10812865211023885

A two-dimensional mixed problem for a thin elastic strip resting on a Winkler foundation is considered within the framework of plane stress setup. The relative stiffness of the foundation is supposed to be small to ensure low-frequency vibrations. As... Read More about Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation.

Antiplane shear of an asymmetric sandwich plate (2021)
Journal Article
Prikazchikova, L., Kaplunov, J., & Alkinidri, M. (2021). Antiplane shear of an asymmetric sandwich plate. Continuum Mechanics and Thermodynamics, 33, 1247–1262. https://doi.org/10.1007/s00161-021-00969-6

AbstractAn asymmetric three-layered laminate with prescribed stresses along the faces is considered. The outer layers are assumed to be much stiffer than the inner one. The focus is on long-wave low-frequency anti-plane shear. Asymptotic analysis of... Read More about Antiplane shear of an asymmetric sandwich plate.