Mechanics

Influence of Residual Stresses on Geometric Parameters of Surface-Strengthened Beam

Authors: Radchenko V. P., Afanaseva O. S., Glebov V. E.

The сomprehensive study of the formation of residual stresses and plastic deformations in prismatic samples of the EP742 alloy after ultrasonic hardening and their influence on the geometric parameters of the beam was conducted. Phenomenological model for the reconstruction of residual stress fields is proposed, and the verification of its adequacy to experimental data with four hardening modes is performed. The correspondence of the calculated and experimental data is observed.

On Wave Solutions of Dynamic Equations of Hemitropic Micropolar Thermoelasticity

Authors: Kovalev V. A., Radayev Y. N.

Coupled equations of hemitropic thermoelastic micropolar continuum formulated in terms of displacement vector, microrotation vector and temperature increment are considered. Thermodiffusion mechanism of heat transport is assumed. Hemitropic thermoelastic constitutive constants are reduced to a minimal set retaining hemitropic constitutive behaviour. Coupled plane waves propagating in thermoelastic media are studied. Spatial polarizations of the coupled plane waves are determined. Bicubic equations for wavenumbers are obtained and then analyzed.

Extracting Clinically Relevant Data from Biomechanical Modeling of Surgical Treatment Options for Spinal Injury in Damaged Vertebrae Th10, Th11

Authors: Donnik A. M., Ivanov D. V., Kireev S. I., Kossovich L. Y., Ostrovsky N. V., Norkin I. A., Levchenko K. K., Likhachev S. V.

Two three-dimensional geometric solid-state models of the Th7-L1 spinal segment (Model 1, Model 2) with metal construction were built. Models include the vertebrae Th7, Th8, Th9, Th10, Th11, Th12, L1, intervertebral discs, facet joints and ligaments, and metal construction elements. In Model 1, the cortical and spongy layers are constructed by three-dimensional solids, facet joints and intervertebral discs by three-dimensional bodies, ligaments by one-dimensional objects.

Creation of Three-Dimensional Solid-State Models of a Spine with Transpedicular Fixation Using a Specialized Software

Authors: Donnik A. M., Ivanov D. V., Kossovich L. Y., Levchenko K. K., Kireev S. I., Morozov N. F., Ostrovsky N. V., Zaretskov V. V., Likhachev S. V.

Biomechanical experiments are widely used to study the mechanical characteristics of spinal elements under various types of loading. The correct construction of three-dimensional models is especially important for studying the behavior of the spine after surgery, for example, the installation of fixing metal structures. There are several approaches to modeling each anatomical component of the spinal column. It is generally accepted to construct vertebral bodies of a simulated spinal segment based on the results of computed tomography.

On the Peculiarities of Solving the Coefficient Inverse Problem of Heat Conduction for a Two-Part Layer

Authors: Vatulyan A. O., Nesterov S. A.

The coefficient inverse problem of thermal conductivity about the determination of the thermophysical characteristics of the functional-gradient part of a two-component layer is posed. The input information is the temperature measurement data on the top face of the layer. After the Laplace transform and dimensioning, the direct problem of heat conduction is solved on the basis of Galerkin projection method. Conversion of transformant on the basis of the theory of residues is carried out.

Dynamic Stability of Heated Geometrically Irregular Shallow Shell of Constant Torsion in Supersonic Gas Flow

Authors: Belostochnyj G. N., Mylcina O. A.

Heated until invariable temperature, geometrically irregular shallow shell of constant torsion blown by supersonic gas flow from one side of the main surfaces was considered. As the basis, a continual model of thermoelastic system “shell-ribs” was taken. Singular differential equations of dynamical thermostability of geometrically irregular shallow shell had summands containing “stretch-compression” and “shift’’ of the ribs. Tangential forces caused by heating of the shell and transversal strain were recorded by “piston theory” in a standard way.