Mechanics

Thickness Influence of the Multylayer Corneal Shell on the Value of Intraocular Pressure

Authors: Franus D. V.

A research of changes in the stress-strain state of the corneoscleral shell of the human eye under loading by a flat base stamp is made. In this paper a three-dimentional finite-element model of contact problem under loading of multilayer corneal shell with flat base stamp is presented. This mathematical model is made in software package ANSYS. Cornea is modeled as a transversely isotropic spherical shell of variable thickness composed of four layers: epithelium, Bowman's membrane, stroma of the cornea, and Descement's membrane.

Variable Bending of a Three-layer Rod with a Compressed Filler in the Neutron Flux

Authors: Starovoitov E. I., Leonenko D. V.

The present paper considers variable bending of a three-layer elastoplastic bar with a compressible filler in the neutron flux. To describe kinematic properties of an asymmetric through thickness pack we have accepted the hypotheses of a broken line as follows: Bernoulli’s hypothesis is true in the thin bearing layers; Timoshenko’s hypothesis is true in the compressible through thickness filler with a linear approximation of displacements through the layer thickness. The filler’s work is taken into account in the tangential direction.

Development of Asymptotic Methods for the Analysis of Dispersion Relations for a Viscoelastic Solid Cylinder

Authors: Wilde M. V., Sergeeva N. V.

Propagation of time-harmonic waves in a viscoelastic solid cylinder is considered. Vibrations of the cylinder are described by three-dimensional viscoelasticity equations in  cylindrical coordinates. The stress-free surface boundary conditions are imposed. Viscoelastic properties are described by integral operators with a fractional-exponential kernel. For the case of a rational singularity parameter the method of asymptotic analysis of dispersion relations is proposed, which is based on the generalized power series expansion.