A composite material with inextensible-membrane-type interface
Autor(a) principal: | |
---|---|
Data de Publicação: | 2019 |
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/10773/28674 |
Resumo: | We consider a model of a composite material with “inextensible membrane type” interface conditions. An analytic solution of a stationary heat conduction problem in an unbounded doubly periodic two-dimensional composite whose matrix and inclusions consist of isotropic temperature-dependent materials is given. In the case where the conductive properties of the inclusions are proportional to those of the matrix, the problem is transformed into a fully linear boundary value problem for doubly periodic analytic functions. The solution makes it possible to calculate the average properties over the unit cell and discuss the effective conductivity of the composite. We present numerical examples to indicate some peculiarities of the solution. |
id |
RCAP_26c463e9fb3dea947ad81c3acfc354bf |
---|---|
oai_identifier_str |
oai:ria.ua.pt:10773/28674 |
network_acronym_str |
RCAP |
network_name_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository_id_str |
7160 |
spelling |
A composite material with inextensible-membrane-type interfaceTwo-dimensional doubly periodic composite materialNonlinear modelEffective properties of the compositeNon-ideal contact conditionNumerical analysisWe consider a model of a composite material with “inextensible membrane type” interface conditions. An analytic solution of a stationary heat conduction problem in an unbounded doubly periodic two-dimensional composite whose matrix and inclusions consist of isotropic temperature-dependent materials is given. In the case where the conductive properties of the inclusions are proportional to those of the matrix, the problem is transformed into a fully linear boundary value problem for doubly periodic analytic functions. The solution makes it possible to calculate the average properties over the unit cell and discuss the effective conductivity of the composite. We present numerical examples to indicate some peculiarities of the solution.SAGE Publications2020-06-12T18:53:45Z2019-02-01T00:00:00Z2019-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/28674eng1081-286510.1177/1081286517746717Castro, L. P.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:RCAAP2024-02-22T11:55:27Zoai:ria.ua.pt:10773/28674Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:01:09.664763Repositório 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 composite material with inextensible-membrane-type interface |
title |
A composite material with inextensible-membrane-type interface |
spellingShingle |
A composite material with inextensible-membrane-type interface Castro, L. P. Two-dimensional doubly periodic composite material Nonlinear model Effective properties of the composite Non-ideal contact condition Numerical analysis |
title_short |
A composite material with inextensible-membrane-type interface |
title_full |
A composite material with inextensible-membrane-type interface |
title_fullStr |
A composite material with inextensible-membrane-type interface |
title_full_unstemmed |
A composite material with inextensible-membrane-type interface |
title_sort |
A composite material with inextensible-membrane-type interface |
author |
Castro, L. P. |
author_facet |
Castro, L. P. Pesetskaya, E. |
author_role |
author |
author2 |
Pesetskaya, E. |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Castro, L. P. Pesetskaya, E. |
dc.subject.por.fl_str_mv |
Two-dimensional doubly periodic composite material Nonlinear model Effective properties of the composite Non-ideal contact condition Numerical analysis |
topic |
Two-dimensional doubly periodic composite material Nonlinear model Effective properties of the composite Non-ideal contact condition Numerical analysis |
description |
We consider a model of a composite material with “inextensible membrane type” interface conditions. An analytic solution of a stationary heat conduction problem in an unbounded doubly periodic two-dimensional composite whose matrix and inclusions consist of isotropic temperature-dependent materials is given. In the case where the conductive properties of the inclusions are proportional to those of the matrix, the problem is transformed into a fully linear boundary value problem for doubly periodic analytic functions. The solution makes it possible to calculate the average properties over the unit cell and discuss the effective conductivity of the composite. We present numerical examples to indicate some peculiarities of the solution. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-02-01T00:00:00Z 2019-02 2020-06-12T18:53:45Z |
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/10773/28674 |
url |
http://hdl.handle.net/10773/28674 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
1081-2865 10.1177/1081286517746717 |
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 |
SAGE Publications |
publisher.none.fl_str_mv |
SAGE Publications |
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 |
|
_version_ |
1799137667799056384 |