A Thermodynamically Consistent Phase Field Framework for Anisotropic Damage Propagation
Autor(a) principal: | |
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Data de Publicação: | 2021 |
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=S1679-78252021000100601 |
Resumo: | Abstract In the present work, a thermodynamically consistent damage phase field formulation is adapted to include the effect of preferential directions in the damage evolution. A scalar damage variable is associated with each predefined preferential direction of crack propagation. Any other direction is penalized by a parameter ( β ≫ 1 ) that represents the degree of anisotropy of the fracture. When β = 0, the isotropic case is recovered. When there is more than one preferential direction, the material is considered totally fractured when any of the damage variables reaches value one. Simulations using the developed model show that it can reproduce the expected crack propagation pattern for materials with one and two preferential directions. In particular, the model was successful in simulating a zigzag crack pattern commonly obtained in double cantilever beam of spinel M g A l 2 O 4 crystals. The model is fully dynamic in the sense that describes the actual time evolution of the unknown variables, in particular of damage growth. Moreover, anisotropic mechanical response can be easily included in the model by modifying the elasticity tensor. |
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Latin American journal of solids and structures (Online) |
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spelling |
A Thermodynamically Consistent Phase Field Framework for Anisotropic Damage PropagationPhase field modelsDamageAnisotropyFinite element methodAbstract In the present work, a thermodynamically consistent damage phase field formulation is adapted to include the effect of preferential directions in the damage evolution. A scalar damage variable is associated with each predefined preferential direction of crack propagation. Any other direction is penalized by a parameter ( β ≫ 1 ) that represents the degree of anisotropy of the fracture. When β = 0, the isotropic case is recovered. When there is more than one preferential direction, the material is considered totally fractured when any of the damage variables reaches value one. Simulations using the developed model show that it can reproduce the expected crack propagation pattern for materials with one and two preferential directions. In particular, the model was successful in simulating a zigzag crack pattern commonly obtained in double cantilever beam of spinel M g A l 2 O 4 crystals. The model is fully dynamic in the sense that describes the actual time evolution of the unknown variables, in particular of damage growth. Moreover, anisotropic mechanical response can be easily included in the model by modifying the elasticity tensor.Associação Brasileira de Ciências Mecânicas2021-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252021000100601Latin American Journal of Solids and Structures v.18 n.1 2021reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78255959info:eu-repo/semantics/openAccessPetrini,Ana Luísa Evaristo RochaBoldrini,José LuizBittencourt,Marco Lúcioeng2021-02-09T00:00:00Zoai:scielo:S1679-78252021000100601Revistahttp://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:2021-02-09T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
A Thermodynamically Consistent Phase Field Framework for Anisotropic Damage Propagation |
title |
A Thermodynamically Consistent Phase Field Framework for Anisotropic Damage Propagation |
spellingShingle |
A Thermodynamically Consistent Phase Field Framework for Anisotropic Damage Propagation Petrini,Ana Luísa Evaristo Rocha Phase field models Damage Anisotropy Finite element method |
title_short |
A Thermodynamically Consistent Phase Field Framework for Anisotropic Damage Propagation |
title_full |
A Thermodynamically Consistent Phase Field Framework for Anisotropic Damage Propagation |
title_fullStr |
A Thermodynamically Consistent Phase Field Framework for Anisotropic Damage Propagation |
title_full_unstemmed |
A Thermodynamically Consistent Phase Field Framework for Anisotropic Damage Propagation |
title_sort |
A Thermodynamically Consistent Phase Field Framework for Anisotropic Damage Propagation |
author |
Petrini,Ana Luísa Evaristo Rocha |
author_facet |
Petrini,Ana Luísa Evaristo Rocha Boldrini,José Luiz Bittencourt,Marco Lúcio |
author_role |
author |
author2 |
Boldrini,José Luiz Bittencourt,Marco Lúcio |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Petrini,Ana Luísa Evaristo Rocha Boldrini,José Luiz Bittencourt,Marco Lúcio |
dc.subject.por.fl_str_mv |
Phase field models Damage Anisotropy Finite element method |
topic |
Phase field models Damage Anisotropy Finite element method |
description |
Abstract In the present work, a thermodynamically consistent damage phase field formulation is adapted to include the effect of preferential directions in the damage evolution. A scalar damage variable is associated with each predefined preferential direction of crack propagation. Any other direction is penalized by a parameter ( β ≫ 1 ) that represents the degree of anisotropy of the fracture. When β = 0, the isotropic case is recovered. When there is more than one preferential direction, the material is considered totally fractured when any of the damage variables reaches value one. Simulations using the developed model show that it can reproduce the expected crack propagation pattern for materials with one and two preferential directions. In particular, the model was successful in simulating a zigzag crack pattern commonly obtained in double cantilever beam of spinel M g A l 2 O 4 crystals. The model is fully dynamic in the sense that describes the actual time evolution of the unknown variables, in particular of damage growth. Moreover, anisotropic mechanical response can be easily included in the model by modifying the elasticity tensor. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-01-01 |
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=S1679-78252021000100601 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252021000100601 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/1679-78255959 |
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.18 n.1 2021 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_ |
1754302890736877568 |