Effect of Voids and Internal State Variables in Elasticity of Porous Bodies with Dipolar Structure

In this study, we will prove that the presence of the voids and of the internal state variables in an elastic body with dipolar structure have no effect on the result of uniqueness regarding the solution of the initial-boundary value problem from this context. First, we put down the basic equations...

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Autores principales:	Marin Marin, Sorin Vlase, Iana Fudulu, Georgiana Precup
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	elastic body dipolar structure internal state variables uniqueness Gronwall’s inequality Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/81f92e40ae7d469f98c5cec8097170c0
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spelling	oai:doaj.org-article:81f92e40ae7d469f98c5cec8097170c02021-11-11T18:17:25ZEffect of Voids and Internal State Variables in Elasticity of Porous Bodies with Dipolar Structure10.3390/math92127412227-7390https://doaj.org/article/81f92e40ae7d469f98c5cec8097170c02021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2741https://doaj.org/toc/2227-7390In this study, we will prove that the presence of the voids and of the internal state variables in an elastic body with dipolar structure have no effect on the result of uniqueness regarding the solution of the initial-boundary value problem from this context. First, we put down the basic equations and conditions which define the initial-boundary value problem in the context. Then, by means of three theorems, we prove some auxiliary estimates that underlie the result of uniqueness. Finally, by means of these estimates and by using the Gronwall’s inequality, we prove our main result.Marin MarinSorin VlaseIana FuduluGeorgiana PrecupMDPI AGarticleelastic bodydipolar structureinternal state variablesuniquenessGronwall’s inequalityMathematicsQA1-939ENMathematics, Vol 9, Iss 2741, p 2741 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	elastic body dipolar structure internal state variables uniqueness Gronwall’s inequality Mathematics QA1-939
spellingShingle	elastic body dipolar structure internal state variables uniqueness Gronwall’s inequality Mathematics QA1-939 Marin Marin Sorin Vlase Iana Fudulu Georgiana Precup Effect of Voids and Internal State Variables in Elasticity of Porous Bodies with Dipolar Structure
description	In this study, we will prove that the presence of the voids and of the internal state variables in an elastic body with dipolar structure have no effect on the result of uniqueness regarding the solution of the initial-boundary value problem from this context. First, we put down the basic equations and conditions which define the initial-boundary value problem in the context. Then, by means of three theorems, we prove some auxiliary estimates that underlie the result of uniqueness. Finally, by means of these estimates and by using the Gronwall’s inequality, we prove our main result.
format	article
author	Marin Marin Sorin Vlase Iana Fudulu Georgiana Precup
author_facet	Marin Marin Sorin Vlase Iana Fudulu Georgiana Precup
author_sort	Marin Marin
title	Effect of Voids and Internal State Variables in Elasticity of Porous Bodies with Dipolar Structure
title_short	Effect of Voids and Internal State Variables in Elasticity of Porous Bodies with Dipolar Structure
title_full	Effect of Voids and Internal State Variables in Elasticity of Porous Bodies with Dipolar Structure
title_fullStr	Effect of Voids and Internal State Variables in Elasticity of Porous Bodies with Dipolar Structure
title_full_unstemmed	Effect of Voids and Internal State Variables in Elasticity of Porous Bodies with Dipolar Structure
title_sort	effect of voids and internal state variables in elasticity of porous bodies with dipolar structure
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/81f92e40ae7d469f98c5cec8097170c0
work_keys_str_mv	AT marinmarin effectofvoidsandinternalstatevariablesinelasticityofporousbodieswithdipolarstructure AT sorinvlase effectofvoidsandinternalstatevariablesinelasticityofporousbodieswithdipolarstructure AT ianafudulu effectofvoidsandinternalstatevariablesinelasticityofporousbodieswithdipolarstructure AT georgianaprecup effectofvoidsandinternalstatevariablesinelasticityofporousbodieswithdipolarstructure
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Effect of Voids and Internal State Variables in Elasticity of Porous Bodies with Dipolar Structure

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