Driving forces on dislocations: finite element analysis in the context of the non-singular dislocation theory
Abstract This work presents a regularized eigenstrain formulation around the slip plane of dislocations and the resultant non-singular solutions for various dislocation configurations. Moreover, we derive the generalized Eshelby stress tensor of the configurational force theory in the context of the...
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Gespeichert in:
| Autor*in: |
Zhou, Xiandong [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s) 2021 |
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| Übergeordnetes Werk: |
Enthalten in: Archive of applied mechanics - Springer Berlin Heidelberg, 1991, 91(2021), 11 vom: 22. Juli, Seite 4499-4516 |
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| Übergeordnetes Werk: |
volume:91 ; year:2021 ; number:11 ; day:22 ; month:07 ; pages:4499-4516 |
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| DOI / URN: |
10.1007/s00419-021-02017-w |
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OLC2077130024 |
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| 520 | |a Abstract This work presents a regularized eigenstrain formulation around the slip plane of dislocations and the resultant non-singular solutions for various dislocation configurations. Moreover, we derive the generalized Eshelby stress tensor of the configurational force theory in the context of the proposed dislocation model. Based on the non-singular finite element solutions and the generalized configurational force formulation, we calculate the driving force on dislocations of various configurations, including single edge/screw dislocation, dislocation loop, interaction between a vacancy dislocation loop and an edge dislocation, as well as a dislocation cluster. The non-singular solutions and the driving force results are well benchmarked for different cases. The proposed formulation and the numerical scheme can be applied to any general dislocation configuration with complex geometry and loading conditions. | ||
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| 700 | 1 | |a Xu, Bai-Xiang |4 aut | |
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10.1007/s00419-021-02017-w doi (DE-627)OLC2077130024 (DE-He213)s00419-021-02017-w-p DE-627 ger DE-627 rakwb eng 690 VZ Zhou, Xiandong verfasserin aut Driving forces on dislocations: finite element analysis in the context of the non-singular dislocation theory 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2021 Abstract This work presents a regularized eigenstrain formulation around the slip plane of dislocations and the resultant non-singular solutions for various dislocation configurations. Moreover, we derive the generalized Eshelby stress tensor of the configurational force theory in the context of the proposed dislocation model. Based on the non-singular finite element solutions and the generalized configurational force formulation, we calculate the driving force on dislocations of various configurations, including single edge/screw dislocation, dislocation loop, interaction between a vacancy dislocation loop and an edge dislocation, as well as a dislocation cluster. The non-singular solutions and the driving force results are well benchmarked for different cases. The proposed formulation and the numerical scheme can be applied to any general dislocation configuration with complex geometry and loading conditions. Dislocation Driving force Non-singular continuum theory Finite element method Reimuth, Christoph aut Stein, Peter aut Xu, Bai-Xiang aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 91(2021), 11 vom: 22. Juli, Seite 4499-4516 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:91 year:2021 number:11 day:22 month:07 pages:4499-4516 https://doi.org/10.1007/s00419-021-02017-w lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 91 2021 11 22 07 4499-4516 |
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10.1007/s00419-021-02017-w doi (DE-627)OLC2077130024 (DE-He213)s00419-021-02017-w-p DE-627 ger DE-627 rakwb eng 690 VZ Zhou, Xiandong verfasserin aut Driving forces on dislocations: finite element analysis in the context of the non-singular dislocation theory 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2021 Abstract This work presents a regularized eigenstrain formulation around the slip plane of dislocations and the resultant non-singular solutions for various dislocation configurations. Moreover, we derive the generalized Eshelby stress tensor of the configurational force theory in the context of the proposed dislocation model. Based on the non-singular finite element solutions and the generalized configurational force formulation, we calculate the driving force on dislocations of various configurations, including single edge/screw dislocation, dislocation loop, interaction between a vacancy dislocation loop and an edge dislocation, as well as a dislocation cluster. The non-singular solutions and the driving force results are well benchmarked for different cases. The proposed formulation and the numerical scheme can be applied to any general dislocation configuration with complex geometry and loading conditions. Dislocation Driving force Non-singular continuum theory Finite element method Reimuth, Christoph aut Stein, Peter aut Xu, Bai-Xiang aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 91(2021), 11 vom: 22. Juli, Seite 4499-4516 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:91 year:2021 number:11 day:22 month:07 pages:4499-4516 https://doi.org/10.1007/s00419-021-02017-w lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 91 2021 11 22 07 4499-4516 |
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10.1007/s00419-021-02017-w doi (DE-627)OLC2077130024 (DE-He213)s00419-021-02017-w-p DE-627 ger DE-627 rakwb eng 690 VZ Zhou, Xiandong verfasserin aut Driving forces on dislocations: finite element analysis in the context of the non-singular dislocation theory 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2021 Abstract This work presents a regularized eigenstrain formulation around the slip plane of dislocations and the resultant non-singular solutions for various dislocation configurations. Moreover, we derive the generalized Eshelby stress tensor of the configurational force theory in the context of the proposed dislocation model. Based on the non-singular finite element solutions and the generalized configurational force formulation, we calculate the driving force on dislocations of various configurations, including single edge/screw dislocation, dislocation loop, interaction between a vacancy dislocation loop and an edge dislocation, as well as a dislocation cluster. The non-singular solutions and the driving force results are well benchmarked for different cases. The proposed formulation and the numerical scheme can be applied to any general dislocation configuration with complex geometry and loading conditions. Dislocation Driving force Non-singular continuum theory Finite element method Reimuth, Christoph aut Stein, Peter aut Xu, Bai-Xiang aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 91(2021), 11 vom: 22. Juli, Seite 4499-4516 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:91 year:2021 number:11 day:22 month:07 pages:4499-4516 https://doi.org/10.1007/s00419-021-02017-w lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 91 2021 11 22 07 4499-4516 |
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10.1007/s00419-021-02017-w doi (DE-627)OLC2077130024 (DE-He213)s00419-021-02017-w-p DE-627 ger DE-627 rakwb eng 690 VZ Zhou, Xiandong verfasserin aut Driving forces on dislocations: finite element analysis in the context of the non-singular dislocation theory 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2021 Abstract This work presents a regularized eigenstrain formulation around the slip plane of dislocations and the resultant non-singular solutions for various dislocation configurations. Moreover, we derive the generalized Eshelby stress tensor of the configurational force theory in the context of the proposed dislocation model. Based on the non-singular finite element solutions and the generalized configurational force formulation, we calculate the driving force on dislocations of various configurations, including single edge/screw dislocation, dislocation loop, interaction between a vacancy dislocation loop and an edge dislocation, as well as a dislocation cluster. The non-singular solutions and the driving force results are well benchmarked for different cases. The proposed formulation and the numerical scheme can be applied to any general dislocation configuration with complex geometry and loading conditions. Dislocation Driving force Non-singular continuum theory Finite element method Reimuth, Christoph aut Stein, Peter aut Xu, Bai-Xiang aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 91(2021), 11 vom: 22. Juli, Seite 4499-4516 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:91 year:2021 number:11 day:22 month:07 pages:4499-4516 https://doi.org/10.1007/s00419-021-02017-w lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 91 2021 11 22 07 4499-4516 |
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10.1007/s00419-021-02017-w doi (DE-627)OLC2077130024 (DE-He213)s00419-021-02017-w-p DE-627 ger DE-627 rakwb eng 690 VZ Zhou, Xiandong verfasserin aut Driving forces on dislocations: finite element analysis in the context of the non-singular dislocation theory 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2021 Abstract This work presents a regularized eigenstrain formulation around the slip plane of dislocations and the resultant non-singular solutions for various dislocation configurations. Moreover, we derive the generalized Eshelby stress tensor of the configurational force theory in the context of the proposed dislocation model. Based on the non-singular finite element solutions and the generalized configurational force formulation, we calculate the driving force on dislocations of various configurations, including single edge/screw dislocation, dislocation loop, interaction between a vacancy dislocation loop and an edge dislocation, as well as a dislocation cluster. The non-singular solutions and the driving force results are well benchmarked for different cases. The proposed formulation and the numerical scheme can be applied to any general dislocation configuration with complex geometry and loading conditions. Dislocation Driving force Non-singular continuum theory Finite element method Reimuth, Christoph aut Stein, Peter aut Xu, Bai-Xiang aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 91(2021), 11 vom: 22. Juli, Seite 4499-4516 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:91 year:2021 number:11 day:22 month:07 pages:4499-4516 https://doi.org/10.1007/s00419-021-02017-w lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 AR 91 2021 11 22 07 4499-4516 |
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Driving forces on dislocations: finite element analysis in the context of the non-singular dislocation theory |
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Abstract This work presents a regularized eigenstrain formulation around the slip plane of dislocations and the resultant non-singular solutions for various dislocation configurations. Moreover, we derive the generalized Eshelby stress tensor of the configurational force theory in the context of the proposed dislocation model. Based on the non-singular finite element solutions and the generalized configurational force formulation, we calculate the driving force on dislocations of various configurations, including single edge/screw dislocation, dislocation loop, interaction between a vacancy dislocation loop and an edge dislocation, as well as a dislocation cluster. The non-singular solutions and the driving force results are well benchmarked for different cases. The proposed formulation and the numerical scheme can be applied to any general dislocation configuration with complex geometry and loading conditions. © The Author(s) 2021 |
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Abstract This work presents a regularized eigenstrain formulation around the slip plane of dislocations and the resultant non-singular solutions for various dislocation configurations. Moreover, we derive the generalized Eshelby stress tensor of the configurational force theory in the context of the proposed dislocation model. Based on the non-singular finite element solutions and the generalized configurational force formulation, we calculate the driving force on dislocations of various configurations, including single edge/screw dislocation, dislocation loop, interaction between a vacancy dislocation loop and an edge dislocation, as well as a dislocation cluster. The non-singular solutions and the driving force results are well benchmarked for different cases. The proposed formulation and the numerical scheme can be applied to any general dislocation configuration with complex geometry and loading conditions. © The Author(s) 2021 |
| abstract_unstemmed |
Abstract This work presents a regularized eigenstrain formulation around the slip plane of dislocations and the resultant non-singular solutions for various dislocation configurations. Moreover, we derive the generalized Eshelby stress tensor of the configurational force theory in the context of the proposed dislocation model. Based on the non-singular finite element solutions and the generalized configurational force formulation, we calculate the driving force on dislocations of various configurations, including single edge/screw dislocation, dislocation loop, interaction between a vacancy dislocation loop and an edge dislocation, as well as a dislocation cluster. The non-singular solutions and the driving force results are well benchmarked for different cases. The proposed formulation and the numerical scheme can be applied to any general dislocation configuration with complex geometry and loading conditions. © The Author(s) 2021 |
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| title_short |
Driving forces on dislocations: finite element analysis in the context of the non-singular dislocation theory |
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https://doi.org/10.1007/s00419-021-02017-w |
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Reimuth, Christoph Stein, Peter Xu, Bai-Xiang |
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