An External Circular Crack in an Infinite Solid under Axisymmetric Heat Flux Loading in the Framework of Fractional Thermoelasticity

In a real solid there are different types of defects. During sudden cooling, near cracks, there can appear high thermal stresses. In this paper, the time-fractional heat conduction equation is studied in an infinite space with an external circular crack with the interior radius R in the case of axia...

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Autores principales: Povstenko, Yuriy, Kyrylych, Tamara, Woźna-Szcześniak, Bożena, Kawa, Renata, Yatsko, Andrzej
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8774903/
https://www.ncbi.nlm.nih.gov/pubmed/35052096
http://dx.doi.org/10.3390/e24010070
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author Povstenko, Yuriy
Kyrylych, Tamara
Woźna-Szcześniak, Bożena
Kawa, Renata
Yatsko, Andrzej
author_facet Povstenko, Yuriy
Kyrylych, Tamara
Woźna-Szcześniak, Bożena
Kawa, Renata
Yatsko, Andrzej
author_sort Povstenko, Yuriy
collection PubMed
description In a real solid there are different types of defects. During sudden cooling, near cracks, there can appear high thermal stresses. In this paper, the time-fractional heat conduction equation is studied in an infinite space with an external circular crack with the interior radius R in the case of axial symmetry. The surfaces of a crack are exposed to the constant heat flux loading in a circular ring [Formula: see text]. The stress intensity factor is calculated as a function of the order of time-derivative, time, and the size of a circular ring and is presented graphically.
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spelling pubmed-87749032022-01-21 An External Circular Crack in an Infinite Solid under Axisymmetric Heat Flux Loading in the Framework of Fractional Thermoelasticity Povstenko, Yuriy Kyrylych, Tamara Woźna-Szcześniak, Bożena Kawa, Renata Yatsko, Andrzej Entropy (Basel) Article In a real solid there are different types of defects. During sudden cooling, near cracks, there can appear high thermal stresses. In this paper, the time-fractional heat conduction equation is studied in an infinite space with an external circular crack with the interior radius R in the case of axial symmetry. The surfaces of a crack are exposed to the constant heat flux loading in a circular ring [Formula: see text]. The stress intensity factor is calculated as a function of the order of time-derivative, time, and the size of a circular ring and is presented graphically. MDPI 2021-12-30 /pmc/articles/PMC8774903/ /pubmed/35052096 http://dx.doi.org/10.3390/e24010070 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Povstenko, Yuriy
Kyrylych, Tamara
Woźna-Szcześniak, Bożena
Kawa, Renata
Yatsko, Andrzej
An External Circular Crack in an Infinite Solid under Axisymmetric Heat Flux Loading in the Framework of Fractional Thermoelasticity
title An External Circular Crack in an Infinite Solid under Axisymmetric Heat Flux Loading in the Framework of Fractional Thermoelasticity
title_full An External Circular Crack in an Infinite Solid under Axisymmetric Heat Flux Loading in the Framework of Fractional Thermoelasticity
title_fullStr An External Circular Crack in an Infinite Solid under Axisymmetric Heat Flux Loading in the Framework of Fractional Thermoelasticity
title_full_unstemmed An External Circular Crack in an Infinite Solid under Axisymmetric Heat Flux Loading in the Framework of Fractional Thermoelasticity
title_short An External Circular Crack in an Infinite Solid under Axisymmetric Heat Flux Loading in the Framework of Fractional Thermoelasticity
title_sort external circular crack in an infinite solid under axisymmetric heat flux loading in the framework of fractional thermoelasticity
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8774903/
https://www.ncbi.nlm.nih.gov/pubmed/35052096
http://dx.doi.org/10.3390/e24010070
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