A heat conduction problem of 2D unbounded composites with imperfect contact conditions
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10773/14594 |
Resumo: | We consider a steady-state heat conduction problem in 2D unbounded doubly periodic composite materials with temperature independent conductivities of their components. Imperfect contact conditions are assumed on the boundaries between the matrix and inclusions. By introducing complex potentials, the corresponding boundary value problem for the Laplace equation is transformed into a special R-linear boundary value problem for doubly periodic analytic functions. The method of functional equations is used for obtaining a solution. Thus, the R-linear boundary value problem is transformed into a system of functional equations which is analysed afterwards. A new improved algorithm for solving this system is proposed. It allows to compute the average property and reconstruct the temperature and the flux at an arbitrary point of the composite. Computational examples are presented. |
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A heat conduction problem of 2D unbounded composites with imperfect contact conditions2D composite materialSteady-state conductivity problemEffective conductivityImperfect contact conditionsFunctional equationsWe consider a steady-state heat conduction problem in 2D unbounded doubly periodic composite materials with temperature independent conductivities of their components. Imperfect contact conditions are assumed on the boundaries between the matrix and inclusions. By introducing complex potentials, the corresponding boundary value problem for the Laplace equation is transformed into a special R-linear boundary value problem for doubly periodic analytic functions. The method of functional equations is used for obtaining a solution. Thus, the R-linear boundary value problem is transformed into a system of functional equations which is analysed afterwards. A new improved algorithm for solving this system is proposed. It allows to compute the average property and reconstruct the temperature and the flux at an arbitrary point of the composite. Computational examples are presented.Wiley2018-07-20T14:00:50Z2015-09-01T00:00:00Z2015-092016-08-31T17:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/14594eng0044-226710.1002/zamm.201400067Castro, L. P.Kapanadze, D.Pesetskaya, E.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:26:41Zoai:ria.ua.pt:10773/14594Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:08.889909Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
A heat conduction problem of 2D unbounded composites with imperfect contact conditions |
title |
A heat conduction problem of 2D unbounded composites with imperfect contact conditions |
spellingShingle |
A heat conduction problem of 2D unbounded composites with imperfect contact conditions Castro, L. P. 2D composite material Steady-state conductivity problem Effective conductivity Imperfect contact conditions Functional equations |
title_short |
A heat conduction problem of 2D unbounded composites with imperfect contact conditions |
title_full |
A heat conduction problem of 2D unbounded composites with imperfect contact conditions |
title_fullStr |
A heat conduction problem of 2D unbounded composites with imperfect contact conditions |
title_full_unstemmed |
A heat conduction problem of 2D unbounded composites with imperfect contact conditions |
title_sort |
A heat conduction problem of 2D unbounded composites with imperfect contact conditions |
author |
Castro, L. P. |
author_facet |
Castro, L. P. Kapanadze, D. Pesetskaya, E. |
author_role |
author |
author2 |
Kapanadze, D. Pesetskaya, E. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Castro, L. P. Kapanadze, D. Pesetskaya, E. |
dc.subject.por.fl_str_mv |
2D composite material Steady-state conductivity problem Effective conductivity Imperfect contact conditions Functional equations |
topic |
2D composite material Steady-state conductivity problem Effective conductivity Imperfect contact conditions Functional equations |
description |
We consider a steady-state heat conduction problem in 2D unbounded doubly periodic composite materials with temperature independent conductivities of their components. Imperfect contact conditions are assumed on the boundaries between the matrix and inclusions. By introducing complex potentials, the corresponding boundary value problem for the Laplace equation is transformed into a special R-linear boundary value problem for doubly periodic analytic functions. The method of functional equations is used for obtaining a solution. Thus, the R-linear boundary value problem is transformed into a system of functional equations which is analysed afterwards. A new improved algorithm for solving this system is proposed. It allows to compute the average property and reconstruct the temperature and the flux at an arbitrary point of the composite. Computational examples are presented. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-09-01T00:00:00Z 2015-09 2016-08-31T17:00:00Z 2018-07-20T14:00:50Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10773/14594 |
url |
http://hdl.handle.net/10773/14594 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0044-2267 10.1002/zamm.201400067 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Wiley |
publisher.none.fl_str_mv |
Wiley |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799137551653535744 |