A novel two-stage discrete crack method based on the screened Poisson equation and local mesh refinement
Abstract We propose an alternative crack propagation algorithm which effectively circumvents the variable transfer procedure adopted with classical mesh adaptation algorithms. The present alternative consists of two stages: a mesh-creation stage where a local damage model is employed with the object...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Areias, P. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Berlin Heidelberg 2016 |
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| Übergeordnetes Werk: |
Enthalten in: Computational mechanics - Springer Berlin Heidelberg, 1986, 58(2016), 6 vom: 22. Sept., Seite 1003-1018 |
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| Übergeordnetes Werk: |
volume:58 ; year:2016 ; number:6 ; day:22 ; month:09 ; pages:1003-1018 |
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| DOI / URN: |
10.1007/s00466-016-1328-5 |
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| 520 | |a Abstract We propose an alternative crack propagation algorithm which effectively circumvents the variable transfer procedure adopted with classical mesh adaptation algorithms. The present alternative consists of two stages: a mesh-creation stage where a local damage model is employed with the objective of defining a crack-conforming mesh and a subsequent analysis stage with a localization limiter in the form of a modified screened Poisson equation which is exempt of crack path calculations. In the second stage, the crack naturally occurs within the refined region. A staggered scheme for standard equilibrium and screened Poisson equations is used in this second stage. Element subdivision is based on edge split operations using a constitutive quantity (damage). To assess the robustness and accuracy of this algorithm, we use five quasi-brittle benchmarks, all successfully solved. | ||
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10.1007/s00466-016-1328-5 doi (DE-627)OLC2054928526 (DE-He213)s00466-016-1328-5-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Areias, P. verfasserin aut A novel two-stage discrete crack method based on the screened Poisson equation and local mesh refinement 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2016 Abstract We propose an alternative crack propagation algorithm which effectively circumvents the variable transfer procedure adopted with classical mesh adaptation algorithms. The present alternative consists of two stages: a mesh-creation stage where a local damage model is employed with the objective of defining a crack-conforming mesh and a subsequent analysis stage with a localization limiter in the form of a modified screened Poisson equation which is exempt of crack path calculations. In the second stage, the crack naturally occurs within the refined region. A staggered scheme for standard equilibrium and screened Poisson equations is used in this second stage. Element subdivision is based on edge split operations using a constitutive quantity (damage). To assess the robustness and accuracy of this algorithm, we use five quasi-brittle benchmarks, all successfully solved. Two-stage algorithm Local mesh refinement Smeared model Crack nucleation and propagation Quasi-brittle fracture Rabczuk, T. aut de Sá, J. César aut Enthalten in Computational mechanics Springer Berlin Heidelberg, 1986 58(2016), 6 vom: 22. Sept., Seite 1003-1018 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:58 year:2016 number:6 day:22 month:09 pages:1003-1018 https://doi.org/10.1007/s00466-016-1328-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4323 AR 58 2016 6 22 09 1003-1018 |
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10.1007/s00466-016-1328-5 doi (DE-627)OLC2054928526 (DE-He213)s00466-016-1328-5-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Areias, P. verfasserin aut A novel two-stage discrete crack method based on the screened Poisson equation and local mesh refinement 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2016 Abstract We propose an alternative crack propagation algorithm which effectively circumvents the variable transfer procedure adopted with classical mesh adaptation algorithms. The present alternative consists of two stages: a mesh-creation stage where a local damage model is employed with the objective of defining a crack-conforming mesh and a subsequent analysis stage with a localization limiter in the form of a modified screened Poisson equation which is exempt of crack path calculations. In the second stage, the crack naturally occurs within the refined region. A staggered scheme for standard equilibrium and screened Poisson equations is used in this second stage. Element subdivision is based on edge split operations using a constitutive quantity (damage). To assess the robustness and accuracy of this algorithm, we use five quasi-brittle benchmarks, all successfully solved. Two-stage algorithm Local mesh refinement Smeared model Crack nucleation and propagation Quasi-brittle fracture Rabczuk, T. aut de Sá, J. César aut Enthalten in Computational mechanics Springer Berlin Heidelberg, 1986 58(2016), 6 vom: 22. Sept., Seite 1003-1018 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:58 year:2016 number:6 day:22 month:09 pages:1003-1018 https://doi.org/10.1007/s00466-016-1328-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4323 AR 58 2016 6 22 09 1003-1018 |
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10.1007/s00466-016-1328-5 doi (DE-627)OLC2054928526 (DE-He213)s00466-016-1328-5-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Areias, P. verfasserin aut A novel two-stage discrete crack method based on the screened Poisson equation and local mesh refinement 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2016 Abstract We propose an alternative crack propagation algorithm which effectively circumvents the variable transfer procedure adopted with classical mesh adaptation algorithms. The present alternative consists of two stages: a mesh-creation stage where a local damage model is employed with the objective of defining a crack-conforming mesh and a subsequent analysis stage with a localization limiter in the form of a modified screened Poisson equation which is exempt of crack path calculations. In the second stage, the crack naturally occurs within the refined region. A staggered scheme for standard equilibrium and screened Poisson equations is used in this second stage. Element subdivision is based on edge split operations using a constitutive quantity (damage). To assess the robustness and accuracy of this algorithm, we use five quasi-brittle benchmarks, all successfully solved. Two-stage algorithm Local mesh refinement Smeared model Crack nucleation and propagation Quasi-brittle fracture Rabczuk, T. aut de Sá, J. César aut Enthalten in Computational mechanics Springer Berlin Heidelberg, 1986 58(2016), 6 vom: 22. Sept., Seite 1003-1018 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:58 year:2016 number:6 day:22 month:09 pages:1003-1018 https://doi.org/10.1007/s00466-016-1328-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4323 AR 58 2016 6 22 09 1003-1018 |
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10.1007/s00466-016-1328-5 doi (DE-627)OLC2054928526 (DE-He213)s00466-016-1328-5-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Areias, P. verfasserin aut A novel two-stage discrete crack method based on the screened Poisson equation and local mesh refinement 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2016 Abstract We propose an alternative crack propagation algorithm which effectively circumvents the variable transfer procedure adopted with classical mesh adaptation algorithms. The present alternative consists of two stages: a mesh-creation stage where a local damage model is employed with the objective of defining a crack-conforming mesh and a subsequent analysis stage with a localization limiter in the form of a modified screened Poisson equation which is exempt of crack path calculations. In the second stage, the crack naturally occurs within the refined region. A staggered scheme for standard equilibrium and screened Poisson equations is used in this second stage. Element subdivision is based on edge split operations using a constitutive quantity (damage). To assess the robustness and accuracy of this algorithm, we use five quasi-brittle benchmarks, all successfully solved. Two-stage algorithm Local mesh refinement Smeared model Crack nucleation and propagation Quasi-brittle fracture Rabczuk, T. aut de Sá, J. César aut Enthalten in Computational mechanics Springer Berlin Heidelberg, 1986 58(2016), 6 vom: 22. Sept., Seite 1003-1018 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:58 year:2016 number:6 day:22 month:09 pages:1003-1018 https://doi.org/10.1007/s00466-016-1328-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4323 AR 58 2016 6 22 09 1003-1018 |
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10.1007/s00466-016-1328-5 doi (DE-627)OLC2054928526 (DE-He213)s00466-016-1328-5-p DE-627 ger DE-627 rakwb eng 530 004 VZ 11 ssgn Areias, P. verfasserin aut A novel two-stage discrete crack method based on the screened Poisson equation and local mesh refinement 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2016 Abstract We propose an alternative crack propagation algorithm which effectively circumvents the variable transfer procedure adopted with classical mesh adaptation algorithms. The present alternative consists of two stages: a mesh-creation stage where a local damage model is employed with the objective of defining a crack-conforming mesh and a subsequent analysis stage with a localization limiter in the form of a modified screened Poisson equation which is exempt of crack path calculations. In the second stage, the crack naturally occurs within the refined region. A staggered scheme for standard equilibrium and screened Poisson equations is used in this second stage. Element subdivision is based on edge split operations using a constitutive quantity (damage). To assess the robustness and accuracy of this algorithm, we use five quasi-brittle benchmarks, all successfully solved. Two-stage algorithm Local mesh refinement Smeared model Crack nucleation and propagation Quasi-brittle fracture Rabczuk, T. aut de Sá, J. César aut Enthalten in Computational mechanics Springer Berlin Heidelberg, 1986 58(2016), 6 vom: 22. Sept., Seite 1003-1018 (DE-627)130635170 (DE-600)799787-5 (DE-576)016140648 0178-7675 nnns volume:58 year:2016 number:6 day:22 month:09 pages:1003-1018 https://doi.org/10.1007/s00466-016-1328-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 GBV_ILN_4323 AR 58 2016 6 22 09 1003-1018 |
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A novel two-stage discrete crack method based on the screened Poisson equation and local mesh refinement |
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Abstract We propose an alternative crack propagation algorithm which effectively circumvents the variable transfer procedure adopted with classical mesh adaptation algorithms. The present alternative consists of two stages: a mesh-creation stage where a local damage model is employed with the objective of defining a crack-conforming mesh and a subsequent analysis stage with a localization limiter in the form of a modified screened Poisson equation which is exempt of crack path calculations. In the second stage, the crack naturally occurs within the refined region. A staggered scheme for standard equilibrium and screened Poisson equations is used in this second stage. Element subdivision is based on edge split operations using a constitutive quantity (damage). To assess the robustness and accuracy of this algorithm, we use five quasi-brittle benchmarks, all successfully solved. © Springer-Verlag Berlin Heidelberg 2016 |
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Abstract We propose an alternative crack propagation algorithm which effectively circumvents the variable transfer procedure adopted with classical mesh adaptation algorithms. The present alternative consists of two stages: a mesh-creation stage where a local damage model is employed with the objective of defining a crack-conforming mesh and a subsequent analysis stage with a localization limiter in the form of a modified screened Poisson equation which is exempt of crack path calculations. In the second stage, the crack naturally occurs within the refined region. A staggered scheme for standard equilibrium and screened Poisson equations is used in this second stage. Element subdivision is based on edge split operations using a constitutive quantity (damage). To assess the robustness and accuracy of this algorithm, we use five quasi-brittle benchmarks, all successfully solved. © Springer-Verlag Berlin Heidelberg 2016 |
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Abstract We propose an alternative crack propagation algorithm which effectively circumvents the variable transfer procedure adopted with classical mesh adaptation algorithms. The present alternative consists of two stages: a mesh-creation stage where a local damage model is employed with the objective of defining a crack-conforming mesh and a subsequent analysis stage with a localization limiter in the form of a modified screened Poisson equation which is exempt of crack path calculations. In the second stage, the crack naturally occurs within the refined region. A staggered scheme for standard equilibrium and screened Poisson equations is used in this second stage. Element subdivision is based on edge split operations using a constitutive quantity (damage). To assess the robustness and accuracy of this algorithm, we use five quasi-brittle benchmarks, all successfully solved. © Springer-Verlag Berlin Heidelberg 2016 |
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A novel two-stage discrete crack method based on the screened Poisson equation and local mesh refinement |
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Rabczuk, T. de Sá, J. César |
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