The prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation
Abstract The coefficient of restitution (COR) is a pragmatic analytical tool needed to solve impact problems. The coefficient is customarily obtained empirically by executing experiments intended to mimic actual collision situations. The coefficient depends on many parameters, some of which are the...
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Gespeichert in:
| Autor*in: |
Green, Itzhak [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer Nature B.V. 2022 |
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| Übergeordnetes Werk: |
Enthalten in: Nonlinear dynamics - Springer Netherlands, 1990, 109(2022), 4 vom: 24. Mai, Seite 2443-2458 |
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| Übergeordnetes Werk: |
volume:109 ; year:2022 ; number:4 ; day:24 ; month:05 ; pages:2443-2458 |
| Links: |
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| DOI / URN: |
10.1007/s11071-022-07522-3 |
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| Katalog-ID: |
OLC2079423207 |
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| 520 | |a Abstract The coefficient of restitution (COR) is a pragmatic analytical tool needed to solve impact problems. The coefficient is customarily obtained empirically by executing experiments intended to mimic actual collision situations. The coefficient depends on many parameters, some of which are the colliding bodies’ structures, their material properties, the impact velocities, friction and spin, surface roughness, contamination, and in some cases even adhesion. A comprehensive model that encompasses all parameters is understandably elusive, but if the problem is limited to co-linear impact between two smooth elastic or elastoplastic bodies, particularly two spheres or a sphere and a plate, then a few analytical models are available to predict the COR. A recent model (Jackson et al. in Nonlinear Dyn 60:217–229, 2010) has specifically targeted the elastoplastic deformation caused by the collision while excluding other effects. Other models (notably by Zener (Phys Rev 59(8):669–673, 1941)) do not consider the elastoplastic deformation, focusing only the ensuing elastic waves instigated in a perfectly elastic collision. The said two models may rest at the outermost ends of the effects that influence the apparent coefficient of restitution. The subject of this work is to investigate the interplay of these two models and fuse them into a single model that include both effects of elastic waves in the presence of elastoplastic deformation and vice versa. Then, the new model is compared to recent experimental results by Higgs, et al. (2013, 2018) as well as their FEA simulations (2017). It is shown that a straightforward use of the new model herein predicts quite accurately the apparent coefficient of restitution, where a very good agreement is found between the predictions and the results obtained from experiments and FEA simulations. The comparison is performed for a wide variation of material property combinations, plate thickness-to-sphere diameter ratios, and impact speeds. | ||
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10.1007/s11071-022-07522-3 doi (DE-627)OLC2079423207 (DE-He213)s11071-022-07522-3-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Green, Itzhak verfasserin (orcid)0000-0002-9862-9880 aut The prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022 Abstract The coefficient of restitution (COR) is a pragmatic analytical tool needed to solve impact problems. The coefficient is customarily obtained empirically by executing experiments intended to mimic actual collision situations. The coefficient depends on many parameters, some of which are the colliding bodies’ structures, their material properties, the impact velocities, friction and spin, surface roughness, contamination, and in some cases even adhesion. A comprehensive model that encompasses all parameters is understandably elusive, but if the problem is limited to co-linear impact between two smooth elastic or elastoplastic bodies, particularly two spheres or a sphere and a plate, then a few analytical models are available to predict the COR. A recent model (Jackson et al. in Nonlinear Dyn 60:217–229, 2010) has specifically targeted the elastoplastic deformation caused by the collision while excluding other effects. Other models (notably by Zener (Phys Rev 59(8):669–673, 1941)) do not consider the elastoplastic deformation, focusing only the ensuing elastic waves instigated in a perfectly elastic collision. The said two models may rest at the outermost ends of the effects that influence the apparent coefficient of restitution. The subject of this work is to investigate the interplay of these two models and fuse them into a single model that include both effects of elastic waves in the presence of elastoplastic deformation and vice versa. Then, the new model is compared to recent experimental results by Higgs, et al. (2013, 2018) as well as their FEA simulations (2017). It is shown that a straightforward use of the new model herein predicts quite accurately the apparent coefficient of restitution, where a very good agreement is found between the predictions and the results obtained from experiments and FEA simulations. The comparison is performed for a wide variation of material property combinations, plate thickness-to-sphere diameter ratios, and impact speeds. Restitution coefficient Elastoplastic impact model Zener impact model Enthalten in Nonlinear dynamics Springer Netherlands, 1990 109(2022), 4 vom: 24. Mai, Seite 2443-2458 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:109 year:2022 number:4 day:24 month:05 pages:2443-2458 https://doi.org/10.1007/s11071-022-07522-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT AR 109 2022 4 24 05 2443-2458 |
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10.1007/s11071-022-07522-3 doi (DE-627)OLC2079423207 (DE-He213)s11071-022-07522-3-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Green, Itzhak verfasserin (orcid)0000-0002-9862-9880 aut The prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022 Abstract The coefficient of restitution (COR) is a pragmatic analytical tool needed to solve impact problems. The coefficient is customarily obtained empirically by executing experiments intended to mimic actual collision situations. The coefficient depends on many parameters, some of which are the colliding bodies’ structures, their material properties, the impact velocities, friction and spin, surface roughness, contamination, and in some cases even adhesion. A comprehensive model that encompasses all parameters is understandably elusive, but if the problem is limited to co-linear impact between two smooth elastic or elastoplastic bodies, particularly two spheres or a sphere and a plate, then a few analytical models are available to predict the COR. A recent model (Jackson et al. in Nonlinear Dyn 60:217–229, 2010) has specifically targeted the elastoplastic deformation caused by the collision while excluding other effects. Other models (notably by Zener (Phys Rev 59(8):669–673, 1941)) do not consider the elastoplastic deformation, focusing only the ensuing elastic waves instigated in a perfectly elastic collision. The said two models may rest at the outermost ends of the effects that influence the apparent coefficient of restitution. The subject of this work is to investigate the interplay of these two models and fuse them into a single model that include both effects of elastic waves in the presence of elastoplastic deformation and vice versa. Then, the new model is compared to recent experimental results by Higgs, et al. (2013, 2018) as well as their FEA simulations (2017). It is shown that a straightforward use of the new model herein predicts quite accurately the apparent coefficient of restitution, where a very good agreement is found between the predictions and the results obtained from experiments and FEA simulations. The comparison is performed for a wide variation of material property combinations, plate thickness-to-sphere diameter ratios, and impact speeds. Restitution coefficient Elastoplastic impact model Zener impact model Enthalten in Nonlinear dynamics Springer Netherlands, 1990 109(2022), 4 vom: 24. Mai, Seite 2443-2458 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:109 year:2022 number:4 day:24 month:05 pages:2443-2458 https://doi.org/10.1007/s11071-022-07522-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT AR 109 2022 4 24 05 2443-2458 |
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10.1007/s11071-022-07522-3 doi (DE-627)OLC2079423207 (DE-He213)s11071-022-07522-3-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Green, Itzhak verfasserin (orcid)0000-0002-9862-9880 aut The prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022 Abstract The coefficient of restitution (COR) is a pragmatic analytical tool needed to solve impact problems. The coefficient is customarily obtained empirically by executing experiments intended to mimic actual collision situations. The coefficient depends on many parameters, some of which are the colliding bodies’ structures, their material properties, the impact velocities, friction and spin, surface roughness, contamination, and in some cases even adhesion. A comprehensive model that encompasses all parameters is understandably elusive, but if the problem is limited to co-linear impact between two smooth elastic or elastoplastic bodies, particularly two spheres or a sphere and a plate, then a few analytical models are available to predict the COR. A recent model (Jackson et al. in Nonlinear Dyn 60:217–229, 2010) has specifically targeted the elastoplastic deformation caused by the collision while excluding other effects. Other models (notably by Zener (Phys Rev 59(8):669–673, 1941)) do not consider the elastoplastic deformation, focusing only the ensuing elastic waves instigated in a perfectly elastic collision. The said two models may rest at the outermost ends of the effects that influence the apparent coefficient of restitution. The subject of this work is to investigate the interplay of these two models and fuse them into a single model that include both effects of elastic waves in the presence of elastoplastic deformation and vice versa. Then, the new model is compared to recent experimental results by Higgs, et al. (2013, 2018) as well as their FEA simulations (2017). It is shown that a straightforward use of the new model herein predicts quite accurately the apparent coefficient of restitution, where a very good agreement is found between the predictions and the results obtained from experiments and FEA simulations. The comparison is performed for a wide variation of material property combinations, plate thickness-to-sphere diameter ratios, and impact speeds. Restitution coefficient Elastoplastic impact model Zener impact model Enthalten in Nonlinear dynamics Springer Netherlands, 1990 109(2022), 4 vom: 24. Mai, Seite 2443-2458 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:109 year:2022 number:4 day:24 month:05 pages:2443-2458 https://doi.org/10.1007/s11071-022-07522-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT AR 109 2022 4 24 05 2443-2458 |
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The prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation |
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The prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation |
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Green, Itzhak |
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the prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation |
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The prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation |
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Abstract The coefficient of restitution (COR) is a pragmatic analytical tool needed to solve impact problems. The coefficient is customarily obtained empirically by executing experiments intended to mimic actual collision situations. The coefficient depends on many parameters, some of which are the colliding bodies’ structures, their material properties, the impact velocities, friction and spin, surface roughness, contamination, and in some cases even adhesion. A comprehensive model that encompasses all parameters is understandably elusive, but if the problem is limited to co-linear impact between two smooth elastic or elastoplastic bodies, particularly two spheres or a sphere and a plate, then a few analytical models are available to predict the COR. A recent model (Jackson et al. in Nonlinear Dyn 60:217–229, 2010) has specifically targeted the elastoplastic deformation caused by the collision while excluding other effects. Other models (notably by Zener (Phys Rev 59(8):669–673, 1941)) do not consider the elastoplastic deformation, focusing only the ensuing elastic waves instigated in a perfectly elastic collision. The said two models may rest at the outermost ends of the effects that influence the apparent coefficient of restitution. The subject of this work is to investigate the interplay of these two models and fuse them into a single model that include both effects of elastic waves in the presence of elastoplastic deformation and vice versa. Then, the new model is compared to recent experimental results by Higgs, et al. (2013, 2018) as well as their FEA simulations (2017). It is shown that a straightforward use of the new model herein predicts quite accurately the apparent coefficient of restitution, where a very good agreement is found between the predictions and the results obtained from experiments and FEA simulations. The comparison is performed for a wide variation of material property combinations, plate thickness-to-sphere diameter ratios, and impact speeds. © The Author(s), under exclusive licence to Springer Nature B.V. 2022 |
| abstractGer |
Abstract The coefficient of restitution (COR) is a pragmatic analytical tool needed to solve impact problems. The coefficient is customarily obtained empirically by executing experiments intended to mimic actual collision situations. The coefficient depends on many parameters, some of which are the colliding bodies’ structures, their material properties, the impact velocities, friction and spin, surface roughness, contamination, and in some cases even adhesion. A comprehensive model that encompasses all parameters is understandably elusive, but if the problem is limited to co-linear impact between two smooth elastic or elastoplastic bodies, particularly two spheres or a sphere and a plate, then a few analytical models are available to predict the COR. A recent model (Jackson et al. in Nonlinear Dyn 60:217–229, 2010) has specifically targeted the elastoplastic deformation caused by the collision while excluding other effects. Other models (notably by Zener (Phys Rev 59(8):669–673, 1941)) do not consider the elastoplastic deformation, focusing only the ensuing elastic waves instigated in a perfectly elastic collision. The said two models may rest at the outermost ends of the effects that influence the apparent coefficient of restitution. The subject of this work is to investigate the interplay of these two models and fuse them into a single model that include both effects of elastic waves in the presence of elastoplastic deformation and vice versa. Then, the new model is compared to recent experimental results by Higgs, et al. (2013, 2018) as well as their FEA simulations (2017). It is shown that a straightforward use of the new model herein predicts quite accurately the apparent coefficient of restitution, where a very good agreement is found between the predictions and the results obtained from experiments and FEA simulations. The comparison is performed for a wide variation of material property combinations, plate thickness-to-sphere diameter ratios, and impact speeds. © The Author(s), under exclusive licence to Springer Nature B.V. 2022 |
| abstract_unstemmed |
Abstract The coefficient of restitution (COR) is a pragmatic analytical tool needed to solve impact problems. The coefficient is customarily obtained empirically by executing experiments intended to mimic actual collision situations. The coefficient depends on many parameters, some of which are the colliding bodies’ structures, their material properties, the impact velocities, friction and spin, surface roughness, contamination, and in some cases even adhesion. A comprehensive model that encompasses all parameters is understandably elusive, but if the problem is limited to co-linear impact between two smooth elastic or elastoplastic bodies, particularly two spheres or a sphere and a plate, then a few analytical models are available to predict the COR. A recent model (Jackson et al. in Nonlinear Dyn 60:217–229, 2010) has specifically targeted the elastoplastic deformation caused by the collision while excluding other effects. Other models (notably by Zener (Phys Rev 59(8):669–673, 1941)) do not consider the elastoplastic deformation, focusing only the ensuing elastic waves instigated in a perfectly elastic collision. The said two models may rest at the outermost ends of the effects that influence the apparent coefficient of restitution. The subject of this work is to investigate the interplay of these two models and fuse them into a single model that include both effects of elastic waves in the presence of elastoplastic deformation and vice versa. Then, the new model is compared to recent experimental results by Higgs, et al. (2013, 2018) as well as their FEA simulations (2017). It is shown that a straightforward use of the new model herein predicts quite accurately the apparent coefficient of restitution, where a very good agreement is found between the predictions and the results obtained from experiments and FEA simulations. The comparison is performed for a wide variation of material property combinations, plate thickness-to-sphere diameter ratios, and impact speeds. © The Author(s), under exclusive licence to Springer Nature B.V. 2022 |
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The prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation |
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