Mathematical Modelling of Stationary Thermoelastic State for a Plate with Periodic System of Inclusions and Cracks
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...
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Series: | Acta Mechanica et Automatica |
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Online Access: | https://doi.org/10.2478/ama-2019-0002 |
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doaj-2210d57e1dd6436bb4848346bf819e772021-09-06T19:41:06ZengSciendoActa Mechanica et Automatica 2300-53192019-03-01131111510.2478/ama-2019-0002ama-2019-0002Mathematical Modelling of Stationary Thermoelastic State for a Plate with Periodic System of Inclusions and CracksZelenyak Volodymyr0Department of Mathematics, Institute of Applied Mathematics and Fundamental Sciences, Lviv Polytechnic National University, S. Bandery str., 12, 79013, Lviv, UkraineTwo-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.https://doi.org/10.2478/ama-2019-0002stress intensity factorsingular integral equationinclusionheat conductionthermoelasticitycrack |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Zelenyak Volodymyr |
spellingShingle |
Zelenyak Volodymyr Mathematical Modelling of Stationary Thermoelastic State for a Plate with Periodic System of Inclusions and Cracks Acta Mechanica et Automatica stress intensity factor singular integral equation inclusion heat conduction thermoelasticity crack |
author_facet |
Zelenyak Volodymyr |
author_sort |
Zelenyak Volodymyr |
title |
Mathematical Modelling of Stationary Thermoelastic State for a Plate with Periodic System of Inclusions and Cracks |
title_short |
Mathematical Modelling of Stationary Thermoelastic State for a Plate with Periodic System of Inclusions and Cracks |
title_full |
Mathematical Modelling of Stationary Thermoelastic State for a Plate with Periodic System of Inclusions and Cracks |
title_fullStr |
Mathematical Modelling of Stationary Thermoelastic State for a Plate with Periodic System of Inclusions and Cracks |
title_full_unstemmed |
Mathematical Modelling of Stationary Thermoelastic State for a Plate with Periodic System of Inclusions and Cracks |
title_sort |
mathematical modelling of stationary thermoelastic state for a plate with periodic system of inclusions and cracks |
publisher |
Sciendo |
series |
Acta Mechanica et Automatica |
issn |
2300-5319 |
publishDate |
2019-03-01 |
description |
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. |
topic |
stress intensity factor singular integral equation inclusion heat conduction thermoelasticity crack |
url |
https://doi.org/10.2478/ama-2019-0002 |
work_keys_str_mv |
AT zelenyakvolodymyr mathematicalmodellingofstationarythermoelasticstateforaplatewithperiodicsystemofinclusionsandcracks |
_version_ |
1717767068246343680 |