Using the method of integral Fourier transform to solve the problem of nonstationary deformation of an elastic medium

Using the method of integral Fourier transform to solve the problem of nonstationary deformation of an elastic medium

For the first time, for solving the wave equation, the method of the integral Fourier transform for an elastic medium under the action of variable internal pressure was used. This equation contains singularities of the second kind, which were excluded from the calculation by the half division method...

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Main Author: Sapehin Volodymyr
Format: Article
Language:English
Published: EDP Sciences 2019-01-01
Series:E3S Web of Conferences
Online Access:https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/35/e3sconf_rmget18_00080.pdf
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spelling doaj-757a48539cb9443d8e8bf0225d6c5e602021-02-02T08:10:22ZengEDP SciencesE3S Web of Conferences2267-12422019-01-011090008010.1051/e3sconf/201910900080e3sconf_rmget18_00080Using the method of integral Fourier transform to solve the problem of nonstationary deformation of an elastic mediumSapehin Volodymyr0Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Sciences of UkraineFor the first time, for solving the wave equation, the method of the integral Fourier transform for an elastic medium under the action of variable internal pressure was used. This equation contains singularities of the second kind, which were excluded from the calculation by the half division method. The main parameters of the process of non-stationary deformation affecting the magnitude of stresses and displacements for the case of plane deformation are established.https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/35/e3sconf_rmget18_00080.pdf
collection DOAJ
language English
format Article
sources DOAJ
author Sapehin Volodymyr
spellingShingle Sapehin Volodymyr
Using the method of integral Fourier transform to solve the problem of nonstationary deformation of an elastic medium
E3S Web of Conferences
author_facet Sapehin Volodymyr
author_sort Sapehin Volodymyr
title Using the method of integral Fourier transform to solve the problem of nonstationary deformation of an elastic medium
title_short Using the method of integral Fourier transform to solve the problem of nonstationary deformation of an elastic medium
title_full Using the method of integral Fourier transform to solve the problem of nonstationary deformation of an elastic medium
title_fullStr Using the method of integral Fourier transform to solve the problem of nonstationary deformation of an elastic medium
title_full_unstemmed Using the method of integral Fourier transform to solve the problem of nonstationary deformation of an elastic medium
title_sort using the method of integral fourier transform to solve the problem of nonstationary deformation of an elastic medium
publisher EDP Sciences
series E3S Web of Conferences
issn 2267-1242
publishDate 2019-01-01
description For the first time, for solving the wave equation, the method of the integral Fourier transform for an elastic medium under the action of variable internal pressure was used. This equation contains singularities of the second kind, which were excluded from the calculation by the half division method. The main parameters of the process of non-stationary deformation affecting the magnitude of stresses and displacements for the case of plane deformation are established.
url https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/35/e3sconf_rmget18_00080.pdf
work_keys_str_mv AT sapehinvolodymyr usingthemethodofintegralfouriertransformtosolvetheproblemofnonstationarydeformationofanelasticmedium
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