On 3D Anticrack Problem of Thermoelectroelasticity

A solution is presented for the static problem of thermoelectroelasticity involving a transversely isotropic space with a heat-insulated rigid sheet-like inclusion (anticrack) located in the isotropy plane. It is assumed that far from this defect the body is in a uniform heat flow perpendicular to t...

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Main Author:	Kaczyński Andrzej
Format:	Article
Language:	English
Published:	Sciendo 2018-06-01
Series:	Acta Mechanica et Automatica
Subjects:	thermoelectroelasticity heat flow anticrack singular integral equation thermal stress singularities
Online Access:	https://doi.org/10.2478/ama-2018-0018

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record_format	Article
spelling	doaj-8ee70e4245114b1fa74d4dc85961beba2021-09-06T19:41:06ZengSciendoActa Mechanica et Automatica 2300-53192018-06-0112210911410.2478/ama-2018-0018ama-2018-0018On 3D Anticrack Problem of ThermoelectroelasticityKaczyński Andrzej0Faculty of Mathematics and Information Science, Warsaw University of Technology, Koszykowa 75, 00-662WarsawA solution is presented for the static problem of thermoelectroelasticity involving a transversely isotropic space with a heat-insulated rigid sheet-like inclusion (anticrack) located in the isotropy plane. It is assumed that far from this defect the body is in a uniform heat flow perpendicular to the inclusion plane. Besides, considered is the case where the electric potential on the anticrack faces is equal to zero. Accurate results are obtained by constructing suitable potential solutions and reducing the thermoelectromechanical problem to its thermomechanical counterpart. The governing boundary integral equation for a planar anticrack of arbitrary shape is obtained in terms of a normal stress discontinuity. As an illustration, a closed-form solution is given and discussed for a circular rigid inclusion.https://doi.org/10.2478/ama-2018-0018thermoelectroelasticityheat flowanticracksingular integral equationthermal stress singularities
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Kaczyński Andrzej
spellingShingle	Kaczyński Andrzej On 3D Anticrack Problem of Thermoelectroelasticity Acta Mechanica et Automatica thermoelectroelasticity heat flow anticrack singular integral equation thermal stress singularities
author_facet	Kaczyński Andrzej
author_sort	Kaczyński Andrzej
title	On 3D Anticrack Problem of Thermoelectroelasticity
title_short	On 3D Anticrack Problem of Thermoelectroelasticity
title_full	On 3D Anticrack Problem of Thermoelectroelasticity
title_fullStr	On 3D Anticrack Problem of Thermoelectroelasticity
title_full_unstemmed	On 3D Anticrack Problem of Thermoelectroelasticity
title_sort	on 3d anticrack problem of thermoelectroelasticity
publisher	Sciendo
series	Acta Mechanica et Automatica
issn	2300-5319
publishDate	2018-06-01
description	A solution is presented for the static problem of thermoelectroelasticity involving a transversely isotropic space with a heat-insulated rigid sheet-like inclusion (anticrack) located in the isotropy plane. It is assumed that far from this defect the body is in a uniform heat flow perpendicular to the inclusion plane. Besides, considered is the case where the electric potential on the anticrack faces is equal to zero. Accurate results are obtained by constructing suitable potential solutions and reducing the thermoelectromechanical problem to its thermomechanical counterpart. The governing boundary integral equation for a planar anticrack of arbitrary shape is obtained in terms of a normal stress discontinuity. As an illustration, a closed-form solution is given and discussed for a circular rigid inclusion.
topic	thermoelectroelasticity heat flow anticrack singular integral equation thermal stress singularities
url	https://doi.org/10.2478/ama-2018-0018
work_keys_str_mv	AT kaczynskiandrzej on3danticrackproblemofthermoelectroelasticity
_version_	1717767117854474240

On 3D Anticrack Problem of Thermoelectroelasticity

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