Investigation by the Method of Integral Equations of the Stress State of the Implant an Intervertebral Disk at Axisymmetric Loading

The stress state of an anisotropic ring disk of an implant of the intervertebral disk at complex axisymmetric loading is investigated in the work. The method of the integral equations is applied to the calculation of a stresses in a disk. The resolving system of integral equations is removed for the...

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Autores principales:	U.V. Karalevich, D.G. Medvedev
Formato:	article
Lenguaje:	EN RU
Publicado:	National Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering" 2013
Materias:	an implant of an intervertebral disk an anisotropic disk integral equations a method of successive approximations Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/589171ceee3a48b3aba2433c7033b429
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spelling	oai:doaj.org-article:589171ceee3a48b3aba2433c7033b4292021-11-26T05:58:04ZInvestigation by the Method of Integral Equations of the Stress State of the Implant an Intervertebral Disk at Axisymmetric Loading1995-04702518-1475https://doaj.org/article/589171ceee3a48b3aba2433c7033b4292013-12-01T00:00:00Zhttp://mmmm.by/en/%20index.php?option=com_content&view=article&layout=edit&id=353https://doaj.org/toc/1995-0470https://doaj.org/toc/2518-1475The stress state of an anisotropic ring disk of an implant of the intervertebral disk at complex axisymmetric loading is investigated in the work. The method of the integral equations is applied to the calculation of a stresses in a disk. The resolving system of integral equations is removed for the problem of an axisymmetric bend of an anisotropic ring disk of the variable thickness lying on the elastic basis of Vinkler. The received system of integral equations is tackled by the method of successive approximations. The exact solution of a flat task of the theory of elasticity is given for the calculation of the stretching stresses in the disk with the sedate law of change of its thickness testing the action of "the hydrostatic pressure" on the internal contour. A tangent stresses in a disk arising from the action of the constant torque on an external contour is calculated on known formulas. The offered mathematical model of calculation of the stress state of an implant of an intervertebral disk under the influence of the complex axisymmetric loading rather precisely describes its mechanical deformation.U.V. KaralevichD.G. MedvedevNational Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering"articlean implant of an intervertebral diskan anisotropic diskintegral equationsa method of successive approximationsMechanical engineering and machineryTJ1-1570ENRUМеханика машин, механизмов и материалов, Iss 4(25), Pp 41-45 (2013)
institution	DOAJ
collection	DOAJ
language	EN RU
topic	an implant of an intervertebral disk an anisotropic disk integral equations a method of successive approximations Mechanical engineering and machinery TJ1-1570
spellingShingle	an implant of an intervertebral disk an anisotropic disk integral equations a method of successive approximations Mechanical engineering and machinery TJ1-1570 U.V. Karalevich D.G. Medvedev Investigation by the Method of Integral Equations of the Stress State of the Implant an Intervertebral Disk at Axisymmetric Loading
description	The stress state of an anisotropic ring disk of an implant of the intervertebral disk at complex axisymmetric loading is investigated in the work. The method of the integral equations is applied to the calculation of a stresses in a disk. The resolving system of integral equations is removed for the problem of an axisymmetric bend of an anisotropic ring disk of the variable thickness lying on the elastic basis of Vinkler. The received system of integral equations is tackled by the method of successive approximations. The exact solution of a flat task of the theory of elasticity is given for the calculation of the stretching stresses in the disk with the sedate law of change of its thickness testing the action of "the hydrostatic pressure" on the internal contour. A tangent stresses in a disk arising from the action of the constant torque on an external contour is calculated on known formulas. The offered mathematical model of calculation of the stress state of an implant of an intervertebral disk under the influence of the complex axisymmetric loading rather precisely describes its mechanical deformation.
format	article
author	U.V. Karalevich D.G. Medvedev
author_facet	U.V. Karalevich D.G. Medvedev
author_sort	U.V. Karalevich
title	Investigation by the Method of Integral Equations of the Stress State of the Implant an Intervertebral Disk at Axisymmetric Loading
title_short	Investigation by the Method of Integral Equations of the Stress State of the Implant an Intervertebral Disk at Axisymmetric Loading
title_full	Investigation by the Method of Integral Equations of the Stress State of the Implant an Intervertebral Disk at Axisymmetric Loading
title_fullStr	Investigation by the Method of Integral Equations of the Stress State of the Implant an Intervertebral Disk at Axisymmetric Loading
title_full_unstemmed	Investigation by the Method of Integral Equations of the Stress State of the Implant an Intervertebral Disk at Axisymmetric Loading
title_sort	investigation by the method of integral equations of the stress state of the implant an intervertebral disk at axisymmetric loading
publisher	National Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering"
publishDate	2013
url	https://doaj.org/article/589171ceee3a48b3aba2433c7033b429
work_keys_str_mv	AT uvkaralevich investigationbythemethodofintegralequationsofthestressstateoftheimplantanintervertebraldiskataxisymmetricloading AT dgmedvedev investigationbythemethodofintegralequationsofthestressstateoftheimplantanintervertebraldiskataxisymmetricloading
_version_	1718409776971382784

Investigation by the Method of Integral Equations of the Stress State of the Implant an Intervertebral Disk at Axisymmetric Loading

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