A class of thermal sub-differential contact problems

A class of thermal sub-differential contact problems

We study a class of dynamic sub-differential contact problems with friction, and thermale ects, for time depending long memory visco-elastic materials, with or without the clamped condition.We describe the mechanical problem, derive its variational formulation, and after specifyingthe assumptions on...

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Main Author: Oanh Chau
Format: Article
Language:English
Published: AIMS Press 2017-12-01
Series:AIMS Mathematics
Subjects:
time depending thermo-visco-elasticity| sub-differential contact condition| non clamped condition| evolution variational inequality| numerical analysis| numerical computations
Online Access:http://www.aimspress.com/article/10.3934/Math.2017.4.658/fulltext.html
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spelling doaj-7e77b955d04f4255a80cb78123ce187c2020-11-25T00:12:47ZengAIMS PressAIMS Mathematics2473-69882017-12-012465868110.3934/Math.2017.4.658A class of thermal sub-differential contact problemsOanh Chau0Université de La Réunion, Département de Mathématiques, BP 7151, 15 Avenue René Cassin, 97715 Saint Denis Messag, cedex 09, La Réunion, FranceWe study a class of dynamic sub-differential contact problems with friction, and thermale ects, for time depending long memory visco-elastic materials, with or without the clamped condition.We describe the mechanical problem, derive its variational formulation, and after specifyingthe assumptions on the data and operators, we prove an existence and uniqueness of weak solutionon displacement and temperature fields. Then we present a fully discrete scheme for numerical approximationsof the different solutions, and provide analysis of error order estimates. Finally variousnumerical computations in dimension two will be given.http://www.aimspress.com/article/10.3934/Math.2017.4.658/fulltext.htmltime depending thermo-visco-elasticity| sub-differential contact condition| non clamped condition| evolution variational inequality| numerical analysis| numerical computations
collection DOAJ
language English
format Article
sources DOAJ
author Oanh Chau
spellingShingle Oanh Chau
A class of thermal sub-differential contact problems
AIMS Mathematics
time depending thermo-visco-elasticity| sub-differential contact condition| non clamped condition| evolution variational inequality| numerical analysis| numerical computations
author_facet Oanh Chau
author_sort Oanh Chau
title A class of thermal sub-differential contact problems
title_short A class of thermal sub-differential contact problems
title_full A class of thermal sub-differential contact problems
title_fullStr A class of thermal sub-differential contact problems
title_full_unstemmed A class of thermal sub-differential contact problems
title_sort class of thermal sub-differential contact problems
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2017-12-01
description We study a class of dynamic sub-differential contact problems with friction, and thermale ects, for time depending long memory visco-elastic materials, with or without the clamped condition.We describe the mechanical problem, derive its variational formulation, and after specifyingthe assumptions on the data and operators, we prove an existence and uniqueness of weak solutionon displacement and temperature fields. Then we present a fully discrete scheme for numerical approximationsof the different solutions, and provide analysis of error order estimates. Finally variousnumerical computations in dimension two will be given.
topic time depending thermo-visco-elasticity| sub-differential contact condition| non clamped condition| evolution variational inequality| numerical analysis| numerical computations
url http://www.aimspress.com/article/10.3934/Math.2017.4.658/fulltext.html
work_keys_str_mv AT oanhchau aclassofthermalsubdifferentialcontactproblems
AT oanhchau classofthermalsubdifferentialcontactproblems
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