Time-Irreversibility and Existence and Uniqueness of Solutions of Problems in Linear Viscoelasticity

We study a problem of linear viscoelasticity for the case where the relation between the Cauchy stress and strain tensors is described by a linear integral relation. Theorems on the existence and uniqueness of a solution of the problem are proved.

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Date:2000
Main Authors: Matarazzo, G., Матаразо, Г.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2000
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4491
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Matarazzo, G.
Матаразо, Г.
author_facet Matarazzo, G.
Матаразо, Г.
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author_sort Matarazzo, G.
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datestamp_date 2020-03-18T20:30:08Z
description We study a problem of linear viscoelasticity for the case where the relation between the Cauchy stress and strain tensors is described by a linear integral relation. Theorems on the existence and uniqueness of a solution of the problem are proved.
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spelling umjimathkievua-article-44912020-03-18T20:30:08Z Time-Irreversibility and Existence and Uniqueness of Solutions of Problems in Linear Viscoelasticity Незворотність часу та існування і єдність розв'язків у задачах лінійної в'язко-пружності Matarazzo, G. Матаразо, Г. We study a problem of linear viscoelasticity for the case where the relation between the Cauchy stress and strain tensors is described by a linear integral relation. Theorems on the existence and uniqueness of a solution of the problem are proved. Вивчається задача теорії пружності для випадку, коли зв'язок між тензорами напруги та деформації Коші описується за допомогою лінійного інтегрального співвідношення. Доведено теореми про існування та єдиність розв'язку відповідних задач. Institute of Mathematics, NAS of Ukraine 2000-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4491 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 7 (2000); 923-930 Український математичний журнал; Том 52 № 7 (2000); 923-930 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4491/5686 https://umj.imath.kiev.ua/index.php/umj/article/view/4491/5687 Copyright (c) 2000 Matarazzo G.
spellingShingle Matarazzo, G.
Матаразо, Г.
Time-Irreversibility and Existence and Uniqueness of Solutions of Problems in Linear Viscoelasticity
title Time-Irreversibility and Existence and Uniqueness of Solutions of Problems in Linear Viscoelasticity
title_alt Незворотність часу та існування і єдність розв'язків у задачах лінійної в'язко-пружності
title_full Time-Irreversibility and Existence and Uniqueness of Solutions of Problems in Linear Viscoelasticity
title_fullStr Time-Irreversibility and Existence and Uniqueness of Solutions of Problems in Linear Viscoelasticity
title_full_unstemmed Time-Irreversibility and Existence and Uniqueness of Solutions of Problems in Linear Viscoelasticity
title_short Time-Irreversibility and Existence and Uniqueness of Solutions of Problems in Linear Viscoelasticity
title_sort time-irreversibility and existence and uniqueness of solutions of problems in linear viscoelasticity
url https://umj.imath.kiev.ua/index.php/umj/article/view/4491
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