The Splitting Method and the GFEMin the Two-Dimensional Analysis of Linear Elastic Domains with Multiple Cracks
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Latin American journal of solids and structures (Online) |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016001402573 |
Resumo: | Abstract The aim of this paper is to analyse two-dimensional linear elastic continuum containing multiple interacting cracks. Both the mechanical model and the numerical approach are addressed throughout the text as key concepts for the computational framework, whose main characteristics will be described. The Splitting Method is a decomposition method considered for mechanical modeling of multiple interacting cracks. Accordingly, the original problem is divided into a set of global and local sub-problems. The Generalized Finite Element Method (GFEM) is adopted aiming at finding accurate numerical solutions for local sub-problems. Such problems are conceived so as to consider the stress concentration and the effects of interaction on the cracks. The main findings are related to the effectiveness of the proposed combination between the Splitting Method and the GFEM to provide accurate results, as well as the versatility of the conceived computational framework for analyzing different scenarios, including cracks of multilinear shapes and mixed mode fractures. Finally, it is possible to verify that the GFEM provides precise results using simpler meshes, in comparison with standard FEM used, for example in Franc2D(r). |
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Latin American journal of solids and structures (Online) |
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The Splitting Method and the GFEMin the Two-Dimensional Analysis of Linear Elastic Domains with Multiple CracksSplitting MethodGeneralized Finite Element MethodFracture MechanicsAbstract The aim of this paper is to analyse two-dimensional linear elastic continuum containing multiple interacting cracks. Both the mechanical model and the numerical approach are addressed throughout the text as key concepts for the computational framework, whose main characteristics will be described. The Splitting Method is a decomposition method considered for mechanical modeling of multiple interacting cracks. Accordingly, the original problem is divided into a set of global and local sub-problems. The Generalized Finite Element Method (GFEM) is adopted aiming at finding accurate numerical solutions for local sub-problems. Such problems are conceived so as to consider the stress concentration and the effects of interaction on the cracks. The main findings are related to the effectiveness of the proposed combination between the Splitting Method and the GFEM to provide accurate results, as well as the versatility of the conceived computational framework for analyzing different scenarios, including cracks of multilinear shapes and mixed mode fractures. Finally, it is possible to verify that the GFEM provides precise results using simpler meshes, in comparison with standard FEM used, for example in Franc2D(r).Associação Brasileira de Ciências Mecânicas2016-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016001402573Latin American Journal of Solids and Structures v.13 n.14 2016reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78252859info:eu-repo/semantics/openAccessCotta,Igor Frederico StoianovProença,Sergio Persival Baroncinieng2017-01-03T00:00:00Zoai:scielo:S1679-78252016001402573Revistahttp://www.scielo.br/scielo.php?script=sci_serial&pid=1679-7825&lng=pt&nrm=isohttps://old.scielo.br/oai/scielo-oai.phpabcm@abcm.org.br||maralves@usp.br1679-78251679-7817opendoar:2017-01-03T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
The Splitting Method and the GFEMin the Two-Dimensional Analysis of Linear Elastic Domains with Multiple Cracks |
title |
The Splitting Method and the GFEMin the Two-Dimensional Analysis of Linear Elastic Domains with Multiple Cracks |
spellingShingle |
The Splitting Method and the GFEMin the Two-Dimensional Analysis of Linear Elastic Domains with Multiple Cracks Cotta,Igor Frederico Stoianov Splitting Method Generalized Finite Element Method Fracture Mechanics |
title_short |
The Splitting Method and the GFEMin the Two-Dimensional Analysis of Linear Elastic Domains with Multiple Cracks |
title_full |
The Splitting Method and the GFEMin the Two-Dimensional Analysis of Linear Elastic Domains with Multiple Cracks |
title_fullStr |
The Splitting Method and the GFEMin the Two-Dimensional Analysis of Linear Elastic Domains with Multiple Cracks |
title_full_unstemmed |
The Splitting Method and the GFEMin the Two-Dimensional Analysis of Linear Elastic Domains with Multiple Cracks |
title_sort |
The Splitting Method and the GFEMin the Two-Dimensional Analysis of Linear Elastic Domains with Multiple Cracks |
author |
Cotta,Igor Frederico Stoianov |
author_facet |
Cotta,Igor Frederico Stoianov Proença,Sergio Persival Baroncini |
author_role |
author |
author2 |
Proença,Sergio Persival Baroncini |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Cotta,Igor Frederico Stoianov Proença,Sergio Persival Baroncini |
dc.subject.por.fl_str_mv |
Splitting Method Generalized Finite Element Method Fracture Mechanics |
topic |
Splitting Method Generalized Finite Element Method Fracture Mechanics |
description |
Abstract The aim of this paper is to analyse two-dimensional linear elastic continuum containing multiple interacting cracks. Both the mechanical model and the numerical approach are addressed throughout the text as key concepts for the computational framework, whose main characteristics will be described. The Splitting Method is a decomposition method considered for mechanical modeling of multiple interacting cracks. Accordingly, the original problem is divided into a set of global and local sub-problems. The Generalized Finite Element Method (GFEM) is adopted aiming at finding accurate numerical solutions for local sub-problems. Such problems are conceived so as to consider the stress concentration and the effects of interaction on the cracks. The main findings are related to the effectiveness of the proposed combination between the Splitting Method and the GFEM to provide accurate results, as well as the versatility of the conceived computational framework for analyzing different scenarios, including cracks of multilinear shapes and mixed mode fractures. Finally, it is possible to verify that the GFEM provides precise results using simpler meshes, in comparison with standard FEM used, for example in Franc2D(r). |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-01-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016001402573 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016001402573 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/1679-78252859 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Associação Brasileira de Ciências Mecânicas |
publisher.none.fl_str_mv |
Associação Brasileira de Ciências Mecânicas |
dc.source.none.fl_str_mv |
Latin American Journal of Solids and Structures v.13 n.14 2016 reponame:Latin American journal of solids and structures (Online) instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) instacron:ABCM |
instname_str |
Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) |
instacron_str |
ABCM |
institution |
ABCM |
reponame_str |
Latin American journal of solids and structures (Online) |
collection |
Latin American journal of solids and structures (Online) |
repository.name.fl_str_mv |
Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) |
repository.mail.fl_str_mv |
abcm@abcm.org.br||maralves@usp.br |
_version_ |
1754302888787574784 |