<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Two-dimensional stationary problem of heat conduction and thermoelasticity for infinite elastic body containing periodic system of inclusions and cracks is considered. Solution of the problem is constructed using the method of singular integral equations (SIEs). The numerical solution of the system integral equations are obtained by the method of mechanical quadrature for a plate heated by a heat flow, containing periodic system elliptic inclusions and thermally insulated cracks. There are obtained graphic dependences of stress intensity factors (SIFs), which characterise the distribution of intensity of stresses at the tops of a crack, depending on the length of crack, elastic and thermoelastic characteristics inclusion, relative position of crack and inclusion.</p></abstract>

Two-dimensional stationary problem of heat conduction and thermoelasticity for infinite elastic body containing periodic system of inclusions and cracks is considered. Solution of the problem is constructed using the method of singular integral equations (SIEs). The numerical solution of the system integral equations are obtained by the method of mechanical quadrature for a plate heated by a heat flow, containing periodic system elliptic inclusions and thermally insulated cracks. There are obtained graphic dependences of stress intensity factors (SIFs), which characterise the distribution of intensity of stresses at the tops of a crack, depending on the length of crack, elastic and thermoelastic characteristics inclusion, relative position of crack and inclusion.

Mathematical Modelling of Stationary Thermoelastic State for a Plate with Periodic System of Inclusions and Cracks

Department of Mathematics, Institute of Applied Mathematics and Fundamental Sciences

Acta Mechanica et Automatica

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

Two-dimensional stationary problem of heat conduction and thermoelasticity for infinite elastic body containing periodic system of inclusions and cracks is...

Mathematical Modelling of Stationary Thermoelastic State for a Plate with Periodic System of Inclusions and Cracks

Published Online: Apr 18, 2019

Page range: 11 - 15

Received: Nov 08, 2018

Accepted: Mar 07, 2019

DOI: https://doi.org/10.2478/ama-2019-0002

Keywords
Stress Intensity Factor, Singular Integral Equation, Inclusion, Heat Conduction, Thermoelasticity, Crack

© 2019 Volodymyr Zelenyak, published by Sciendo

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

Mathematical Modelling of Stationary Thermoelastic State for a Plate with Periodic System of Inclusions and Cracks

Published Online: Apr 18, 2019

Page range: 11 - 15

Received: Nov 08, 2018

Accepted: Mar 07, 2019

DOI: https://doi.org/10.2478/ama-2019-0002

KeywordsStress Intensity Factor, Singular Integral Equation, Inclusion, Heat Conduction, Thermoelasticity, Crack

© 2019 Volodymyr Zelenyak, published by Sciendo

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

Keywords
Stress Intensity Factor, Singular Integral Equation, Inclusion, Heat Conduction, Thermoelasticity, Crack