Condenson states dynamics in the layered crystals of the indium selenides under elastic deformations

Kharkhalis, L. Yu.; Gluchov, K. E.; Babuka, Т. Ya.; Lyakh, М. V.; Dulkai, O.

doi:10.24144/2415-8038.2018.44.9-22

Sci.Herald.Uzh.Univ.Ser.Phys

2018

DOI: 10.24144/2415-8038.2018.44.9-22

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Condenson states dynamics in the layered crystals of the indium selenides under elastic deformations

L. Yu. Kharkhalis¹,

K. E. Gluchov²,

Т. Ya. Babuka³

et al.

Abstract: The conditions of self-consistent localized state formation connected with the interaction between an electron and the longitudinal acoustic phonon in the In4Se3 and -InSe crystals have been investigated. In the consequence of studying of the deformation influence on the dispersion law with the low-energy non-parabolicity the evolution of appearance or disappearance of the condenson states have been established. The main characteristics such as binding energy and localization radii of the condenson states are… Show more

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2021

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Unsteady dynamics of a sandwich plate under the influence of a cylindrical wave in an elastic medium

Lokteva

Phung

2021

INCAS BULLETIN

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The interaction of a sandwich plate with a damped cylindrical wave in the ground has been investigated. A sandwich plate is considered as a model of a barrier in the ground, described by a system of equations by V. N. Paimushin, placed in the ground dividing it into two parts. The plane problem formulation is considered. The boundary conditions correspond to the hinge attachment of the barrier, and the initial conditions are zero. A cylindrical damped wave is considered as an external influence. To describe the ground movement, the equations of the elasticity theory, the Cauchy relations and the physical principle, or equivalent displacements in potentials and the Lame equations are used. The problem is solved in a related formulation, where the movement of the plate and its surrounding media is considered together. All components of the equations of motion of the plate and media are decomposed into trigonometric series and the Laplace transform is applied to them. As the conditions for the contact of the plate and the ground, the equality of normal displacements at the boundary of the medium and the plate is assumed. It is also assumed that the pressure amplitudes and normal stresses coincide. After determining the constants from the contact conditions, the displacement values and the values of normal and tangential stresses are found, after which their originals are found.

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Unsteady dynamics of a sandwich plate under the influence of a cylindrical wave in an elastic medium

Lokteva

Phung

2021

INCAS BULLETIN

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show abstract

The inverse non-stationary problem of identification of defects in an elastic rod

et al. 2021

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Non-stationary inverse problems of deformed solid mechanics are among the most underexplored due to, inter alia, increasing dimension of non-stationary problems per unit as compared with stationary and static problems, as well as necessity to consider the initial conditions. In the context of the continuing progress of the aviation and aerospace industries, the question arises about technical condition monitoring of aircraft for the purposes of their safe operation. A large proportion of an aircraft structure consists of beam and rod elements exposed to various man-made and natural effects which cause defects inaccessible for visual inspection and required to be identified well in advance. It is well known that defects (such as cracks, cavities, rigid and elastic inclusions) are concentrators of stresses and largely cause processes, which lead to the destruction of elastic bodies. Therefore, the problem of identification of such defects and their parameters, i.e. the problem of identification, represents a great practical interest. Mathematically, the problem of identification represents a non-linear inverse problem. The development of methods of solving such problems is currently a live fundamental research issue.

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Condenson states dynamics in the layered crystals of the indium selenides under elastic deformations

Cited by 2 publications

References 12 publications

Unsteady dynamics of a sandwich plate under the influence of a cylindrical wave in an elastic medium

Unsteady dynamics of a sandwich plate under the influence of a cylindrical wave in an elastic medium

The inverse non-stationary problem of identification of defects in an elastic rod

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