All Outputs (3)

Multi-parametric analysis of the lowest natural frequencies of strongly inhomogeneous elastic rods (2015)
Journal Article
Prikazchikov, D., Kaplunov, J., & Sergushova, O. (2016). Multi-parametric analysis of the lowest natural frequencies of strongly inhomogeneous elastic rods. Journal of Sound and Vibration, 366, 264-276. https://doi.org/10.1016/j.jsv.2015.12.008

The results of a multi-parametric analysis of the near-rigid body motions of a three-component strongly inhomogeneous elastic rod are presented. It is demonstrated that the values of the associated lowest natural frequencies tend to zero at large/sma... Read More about Multi-parametric analysis of the lowest natural frequencies of strongly inhomogeneous elastic rods.

Remarks on explicit strong ellipticity conditions for anisotropic or pre-stressed incompressible solids. (2015)
Journal Article
Pichugin, A., & Prikazchikov, D. (2016). Remarks on explicit strong ellipticity conditions for anisotropic or pre-stressed incompressible solids. Quarterly Journal of Mechanics and Applied Mathematics, 69(1), 67-81. https://doi.org/10.1093/qjmam/hbv017

We present a set of explicit conditions, involving the components of the elastic stiffness tensor, which are necessary and sufficient to ensure the strong ellipticity of an orthorhombic incompressible medium. The derivation is based on the procedure... Read More about Remarks on explicit strong ellipticity conditions for anisotropic or pre-stressed incompressible solids..

On the 3D Rayleigh wave field on an elastic half-space subject to tangential surface loads (2015)
Journal Article
Ege, N., Erbaş, B., & Prikazchikov, D. (2015). On the 3D Rayleigh wave field on an elastic half-space subject to tangential surface loads. Zeitschrift für Angewandte Mathematik und Mechanik, 95(12), 1558-1565. https://doi.org/10.1002/zamm.201400211

This study is concerned with analysis of the Rayleigh wave field in a 3D isotropic elastic half-space subject to in-plane surface loading. The approach relies on the slow time perturbation of the general representation for the Rayleigh wave eigensolu... Read More about On the 3D Rayleigh wave field on an elastic half-space subject to tangential surface loads.