<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

On 3D Anticrack Problem of Thermoelectroelasticity

Faculty of Mathematics and Information Science

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"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...

On 3D Anticrack Problem of Thermoelectroelasticity

Published Online: Jul 17, 2018

Page range: 109 - 114

Received: Jun 08, 2017

Accepted: Jun 08, 2018

DOI: https://doi.org/10.2478/ama-2018-0018

Keywords
Thermoelectroelasticity, Heat Flow, Anticrack, Singular Integral Equation, Thermal Stress Singularities

© 2018 Andrzej Kaczyński, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On 3D Anticrack Problem of Thermoelectroelasticity

Published Online: Jul 17, 2018

Page range: 109 - 114

Received: Jun 08, 2017

Accepted: Jun 08, 2018

DOI: https://doi.org/10.2478/ama-2018-0018

KeywordsThermoelectroelasticity, Heat Flow, Anticrack, Singular Integral Equation, Thermal Stress Singularities

© 2018 Andrzej Kaczyński, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Thermoelectroelasticity, Heat Flow, Anticrack, Singular Integral Equation, Thermal Stress Singularities