Numerical investigation of a particle system compared with first and second gradient continua: Deformation and fracture phenomena
A discrete system constituted of particles interacting by means of a centroid-based law is numerically investigated. The elements of the system move in the plane, and the range of the interaction can be varied from a more local form (first-neighbours interaction) up to a generalized nth order intera...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Battista, Antonio [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Rechteinformationen: |
Nutzungsrecht: © The Author(s) 2016 |
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| Übergeordnetes Werk: |
Enthalten in: Mathematics and mechanics of solids - Thousand Oaks [u.a.] : Sage, 1996, 22(2017), 11, Seite 2120-2134 |
|---|---|
| Übergeordnetes Werk: |
volume:22 ; year:2017 ; number:11 ; pages:2120-2134 |
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| DOI / URN: |
10.1177/1081286516657889 |
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| 520 | |a A discrete system constituted of particles interacting by means of a centroid-based law is numerically investigated. The elements of the system move in the plane, and the range of the interaction can be varied from a more local form (first-neighbours interaction) up to a generalized nth order interaction. The aim of the model is to reproduce the behaviour of deformable bodies with standard (Cauchy model) or generalized (second gradient) deformation energy density. The numerical results suggest that the considered discrete system can effectively reproduce the behaviour of first and second gradient continua. Moreover, a fracture algorithm is introduced and some comparison between first- and second-neighbour simulations are provided. | ||
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10.1177/1081286516657889 doi PQ20171228 (DE-627)OLC1999826264 (DE-599)GBVOLC1999826264 (PRQ)c1155-80c280f3a2e77280a758ad19f4721089988d0bc5af17354f55884787bdeb2d290 (KEY)0569248220170000022001102120numericalinvestigationofaparticlesystemcomparedwit DE-627 ger DE-627 rakwb eng 510 620 DE-600 Battista, Antonio verfasserin aut Numerical investigation of a particle system compared with first and second gradient continua: Deformation and fracture phenomena 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier A discrete system constituted of particles interacting by means of a centroid-based law is numerically investigated. The elements of the system move in the plane, and the range of the interaction can be varied from a more local form (first-neighbours interaction) up to a generalized nth order interaction. The aim of the model is to reproduce the behaviour of deformable bodies with standard (Cauchy model) or generalized (second gradient) deformation energy density. The numerical results suggest that the considered discrete system can effectively reproduce the behaviour of first and second gradient continua. Moreover, a fracture algorithm is introduced and some comparison between first- and second-neighbour simulations are provided. Nutzungsrecht: © The Author(s) 2016 Rosa, Luigi oth dell’Erba, Ramiro oth Greco, Leopoldo oth Enthalten in Mathematics and mechanics of solids Thousand Oaks [u.a.] : Sage, 1996 22(2017), 11, Seite 2120-2134 (DE-627)215140451 (DE-600)1333991-6 (DE-576)060902477 1081-2865 nnns volume:22 year:2017 number:11 pages:2120-2134 http://dx.doi.org/10.1177/1081286516657889 Volltext http://journals.sagepub.com/doi/full/10.1177/1081286516657889 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 22 2017 11 2120-2134 |
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10.1177/1081286516657889 doi PQ20171228 (DE-627)OLC1999826264 (DE-599)GBVOLC1999826264 (PRQ)c1155-80c280f3a2e77280a758ad19f4721089988d0bc5af17354f55884787bdeb2d290 (KEY)0569248220170000022001102120numericalinvestigationofaparticlesystemcomparedwit DE-627 ger DE-627 rakwb eng 510 620 DE-600 Battista, Antonio verfasserin aut Numerical investigation of a particle system compared with first and second gradient continua: Deformation and fracture phenomena 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier A discrete system constituted of particles interacting by means of a centroid-based law is numerically investigated. The elements of the system move in the plane, and the range of the interaction can be varied from a more local form (first-neighbours interaction) up to a generalized nth order interaction. The aim of the model is to reproduce the behaviour of deformable bodies with standard (Cauchy model) or generalized (second gradient) deformation energy density. The numerical results suggest that the considered discrete system can effectively reproduce the behaviour of first and second gradient continua. Moreover, a fracture algorithm is introduced and some comparison between first- and second-neighbour simulations are provided. Nutzungsrecht: © The Author(s) 2016 Rosa, Luigi oth dell’Erba, Ramiro oth Greco, Leopoldo oth Enthalten in Mathematics and mechanics of solids Thousand Oaks [u.a.] : Sage, 1996 22(2017), 11, Seite 2120-2134 (DE-627)215140451 (DE-600)1333991-6 (DE-576)060902477 1081-2865 nnns volume:22 year:2017 number:11 pages:2120-2134 http://dx.doi.org/10.1177/1081286516657889 Volltext http://journals.sagepub.com/doi/full/10.1177/1081286516657889 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 22 2017 11 2120-2134 |
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Numerical investigation of a particle system compared with first and second gradient continua: Deformation and fracture phenomena |
| abstract |
A discrete system constituted of particles interacting by means of a centroid-based law is numerically investigated. The elements of the system move in the plane, and the range of the interaction can be varied from a more local form (first-neighbours interaction) up to a generalized nth order interaction. The aim of the model is to reproduce the behaviour of deformable bodies with standard (Cauchy model) or generalized (second gradient) deformation energy density. The numerical results suggest that the considered discrete system can effectively reproduce the behaviour of first and second gradient continua. Moreover, a fracture algorithm is introduced and some comparison between first- and second-neighbour simulations are provided. |
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A discrete system constituted of particles interacting by means of a centroid-based law is numerically investigated. The elements of the system move in the plane, and the range of the interaction can be varied from a more local form (first-neighbours interaction) up to a generalized nth order interaction. The aim of the model is to reproduce the behaviour of deformable bodies with standard (Cauchy model) or generalized (second gradient) deformation energy density. The numerical results suggest that the considered discrete system can effectively reproduce the behaviour of first and second gradient continua. Moreover, a fracture algorithm is introduced and some comparison between first- and second-neighbour simulations are provided. |
| abstract_unstemmed |
A discrete system constituted of particles interacting by means of a centroid-based law is numerically investigated. The elements of the system move in the plane, and the range of the interaction can be varied from a more local form (first-neighbours interaction) up to a generalized nth order interaction. The aim of the model is to reproduce the behaviour of deformable bodies with standard (Cauchy model) or generalized (second gradient) deformation energy density. The numerical results suggest that the considered discrete system can effectively reproduce the behaviour of first and second gradient continua. Moreover, a fracture algorithm is introduced and some comparison between first- and second-neighbour simulations are provided. |
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Numerical investigation of a particle system compared with first and second gradient continua: Deformation and fracture phenomena |
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Rosa, Luigi dell’Erba, Ramiro Greco, Leopoldo |
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10.1177/1081286516657889 |
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2024-07-03T15:38:36.747Z |
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