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description Publicationkeyboard_double_arrow_right Article , Other literature type 2016 SpainPublisher:Springer Science and Business Media LLC Funded by:EC | TCAINMAND, EC | ECO-COMPASS, EC | COMP-DES-MATEC| TCAINMAND ,EC| ECO-COMPASS ,EC| COMP-DES-MATAuthors: Otero Gruer, Fermín Enrique; Oller Martínez, Sergio Horacio; Martínez García, Javier;Otero Gruer, Fermín Enrique; Oller Martínez, Sergio Horacio; Martínez García, Javier;handle: 2117/98591
The continuous increase of computational capacity has encouraged the extensive use of multiscale techniques to simulate the material behaviour on several fields of knowledge. In solid mechanics, the multiscale approaches which consider the macro-scale deformation gradient to obtain the homogenized material behaviour from the micro-scale are called first-order computational homogenization. Following this idea, the second-order FE2 methods incorporate high-order gradients to improve the simulation accuracy. However, to capture the full advantages of these high-order framework the classical boundary value problem (BVP) at the macro-scale must be upgraded to high-order level, which complicates their numerical solution. With the purpose of obtaining the best of both methods i.e. first-order and second-order, in this work an enhanced-first-order computational homogenization is presented. The proposed approach preserves a classical BVP at the macro-scale level but taking into account the high-order gradient of the macro-scale in the micro-scale solution. The developed numerical examples show how the proposed method obtains the expected stress distribution at the micro-scale for states of structural bending loads. Nevertheless, the macro-scale results achieved are the same than the ones obtained with a first-order framework because both approaches share the same macro-scale BVP. This is a copy of the author 's final draft version of an article published in the Archives of computational methods in engineering. The final publication is available at Springer via http://dx.doi.org/10.1007/s11831-016-9205-0 Peer Reviewed
Recolector de Cienci... arrow_drop_down Recolector de Ciencia Abierta, RECOLECTAOther literature type . Article . 2018 . Peer-reviewedData sources: Recolector de Ciencia Abierta, RECOLECTARecolector de Ciencia Abierta, RECOLECTA; Archives of Computational Methods in EngineeringOther literature type . Article . 2016 . Peer-reviewedLicense: Springer TDMUPCommons. Portal del coneixement obert de la UPCArticle . 2018 . Peer-reviewedData sources: UPCommons. Portal del coneixement obert de la UPChttps://doi.org/https://link.s...Other literature typeData sources: European Union Open Data Portaladd ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1007/s11831-016-9205-0&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.euAccess RoutesGreen bronze 43 citations 43 popularity Top 10% influence Top 10% impulse Top 10% Powered by BIP!visibility 164visibility views 164 download downloads 1,187 Powered bymore_vert Recolector de Cienci... arrow_drop_down Recolector de Ciencia Abierta, RECOLECTAOther literature type . Article . 2018 . Peer-reviewedData sources: Recolector de Ciencia Abierta, RECOLECTARecolector de Ciencia Abierta, RECOLECTA; Archives of Computational Methods in EngineeringOther literature type . Article . 2016 . Peer-reviewedLicense: Springer TDMUPCommons. Portal del coneixement obert de la UPCArticle . 2018 . Peer-reviewedData sources: UPCommons. Portal del coneixement obert de la UPChttps://doi.org/https://link.s...Other literature typeData sources: European Union Open Data Portaladd ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1007/s11831-016-9205-0&type=result"></script>'); --> </script>
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description Publicationkeyboard_double_arrow_right Article , Other literature type 2016 SpainPublisher:Springer Science and Business Media LLC Funded by:EC | TCAINMAND, EC | ECO-COMPASS, EC | COMP-DES-MATEC| TCAINMAND ,EC| ECO-COMPASS ,EC| COMP-DES-MATAuthors: Otero Gruer, Fermín Enrique; Oller Martínez, Sergio Horacio; Martínez García, Javier;Otero Gruer, Fermín Enrique; Oller Martínez, Sergio Horacio; Martínez García, Javier;handle: 2117/98591
The continuous increase of computational capacity has encouraged the extensive use of multiscale techniques to simulate the material behaviour on several fields of knowledge. In solid mechanics, the multiscale approaches which consider the macro-scale deformation gradient to obtain the homogenized material behaviour from the micro-scale are called first-order computational homogenization. Following this idea, the second-order FE2 methods incorporate high-order gradients to improve the simulation accuracy. However, to capture the full advantages of these high-order framework the classical boundary value problem (BVP) at the macro-scale must be upgraded to high-order level, which complicates their numerical solution. With the purpose of obtaining the best of both methods i.e. first-order and second-order, in this work an enhanced-first-order computational homogenization is presented. The proposed approach preserves a classical BVP at the macro-scale level but taking into account the high-order gradient of the macro-scale in the micro-scale solution. The developed numerical examples show how the proposed method obtains the expected stress distribution at the micro-scale for states of structural bending loads. Nevertheless, the macro-scale results achieved are the same than the ones obtained with a first-order framework because both approaches share the same macro-scale BVP. This is a copy of the author 's final draft version of an article published in the Archives of computational methods in engineering. The final publication is available at Springer via http://dx.doi.org/10.1007/s11831-016-9205-0 Peer Reviewed
Recolector de Cienci... arrow_drop_down Recolector de Ciencia Abierta, RECOLECTAOther literature type . Article . 2018 . Peer-reviewedData sources: Recolector de Ciencia Abierta, RECOLECTARecolector de Ciencia Abierta, RECOLECTA; Archives of Computational Methods in EngineeringOther literature type . Article . 2016 . Peer-reviewedLicense: Springer TDMUPCommons. Portal del coneixement obert de la UPCArticle . 2018 . Peer-reviewedData sources: UPCommons. Portal del coneixement obert de la UPChttps://doi.org/https://link.s...Other literature typeData sources: European Union Open Data Portaladd ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1007/s11831-016-9205-0&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.euAccess RoutesGreen bronze 43 citations 43 popularity Top 10% influence Top 10% impulse Top 10% Powered by BIP!visibility 164visibility views 164 download downloads 1,187 Powered bymore_vert Recolector de Cienci... arrow_drop_down Recolector de Ciencia Abierta, RECOLECTAOther literature type . Article . 2018 . Peer-reviewedData sources: Recolector de Ciencia Abierta, RECOLECTARecolector de Ciencia Abierta, RECOLECTA; Archives of Computational Methods in EngineeringOther literature type . Article . 2016 . Peer-reviewedLicense: Springer TDMUPCommons. Portal del coneixement obert de la UPCArticle . 2018 . Peer-reviewedData sources: UPCommons. Portal del coneixement obert de la UPChttps://doi.org/https://link.s...Other literature typeData sources: European Union Open Data Portaladd ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1007/s11831-016-9205-0&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.eu