Towards a theory of granular plasticity
Abstract. A theory of granular plasticity based on the time-averaged rigid-plastic flow equations is presented. Slow granular flows in hoppers are often modeled as rigid-plastic flows with frictional yield conditions. However, such constitutive relations lead to systems of partial differential equat...
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| Autor*in: |
Hendy, Shaun C. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2005 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer 2005 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of engineering mathematics - Kluwer Academic Publishers, 1967, 52(2005), 1 vom: Juli, Seite 137-146 |
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| Übergeordnetes Werk: |
volume:52 ; year:2005 ; number:1 ; month:07 ; pages:137-146 |
| Links: |
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| DOI / URN: |
10.1007/s10665-004-6010-9 |
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OLC2074038275 |
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| 520 | |a Abstract. A theory of granular plasticity based on the time-averaged rigid-plastic flow equations is presented. Slow granular flows in hoppers are often modeled as rigid-plastic flows with frictional yield conditions. However, such constitutive relations lead to systems of partial differential equations that are ill-posed: they possess instabilities in the short-wavelength limit. In addition, features of these flows clearly depend on microstructure in a way not modeled by such continuum models. Here an attempt is made to address both short-comings by splitting variables into ‘fluctuating’ plus ‘average’ parts and time-averaging the rigid-plastic flow equations to produce effective equations which depend on the ‘average’ variables and variances of the ‘fluctuating’ variables. Microstructural physics can be introduced by appealing to the kinetic theory of inelastic hard-spheres to develop a constitutive relation for the new ‘fluctuating’ variables. The equations can then be closed by a suitable consitutive equation, requiring that this system of equations be stable in the short-wavelength limit. In this way a granular length-scale is introduced to the rigid-plastic flow equations. | ||
| 650 | 4 | |a granular flow | |
| 650 | 4 | |a granular temperature | |
| 650 | 4 | |a plasticity | |
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10.1007/s10665-004-6010-9 doi (DE-627)OLC2074038275 (DE-He213)s10665-004-6010-9-p DE-627 ger DE-627 rakwb eng 510 VZ Hendy, Shaun C. verfasserin aut Towards a theory of granular plasticity 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer 2005 Abstract. A theory of granular plasticity based on the time-averaged rigid-plastic flow equations is presented. Slow granular flows in hoppers are often modeled as rigid-plastic flows with frictional yield conditions. However, such constitutive relations lead to systems of partial differential equations that are ill-posed: they possess instabilities in the short-wavelength limit. In addition, features of these flows clearly depend on microstructure in a way not modeled by such continuum models. Here an attempt is made to address both short-comings by splitting variables into ‘fluctuating’ plus ‘average’ parts and time-averaging the rigid-plastic flow equations to produce effective equations which depend on the ‘average’ variables and variances of the ‘fluctuating’ variables. Microstructural physics can be introduced by appealing to the kinetic theory of inelastic hard-spheres to develop a constitutive relation for the new ‘fluctuating’ variables. The equations can then be closed by a suitable consitutive equation, requiring that this system of equations be stable in the short-wavelength limit. In this way a granular length-scale is introduced to the rigid-plastic flow equations. granular flow granular temperature plasticity Enthalten in Journal of engineering mathematics Kluwer Academic Publishers, 1967 52(2005), 1 vom: Juli, Seite 137-146 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:52 year:2005 number:1 month:07 pages:137-146 https://doi.org/10.1007/s10665-004-6010-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4309 GBV_ILN_4700 AR 52 2005 1 07 137-146 |
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10.1007/s10665-004-6010-9 doi (DE-627)OLC2074038275 (DE-He213)s10665-004-6010-9-p DE-627 ger DE-627 rakwb eng 510 VZ Hendy, Shaun C. verfasserin aut Towards a theory of granular plasticity 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer 2005 Abstract. A theory of granular plasticity based on the time-averaged rigid-plastic flow equations is presented. Slow granular flows in hoppers are often modeled as rigid-plastic flows with frictional yield conditions. However, such constitutive relations lead to systems of partial differential equations that are ill-posed: they possess instabilities in the short-wavelength limit. In addition, features of these flows clearly depend on microstructure in a way not modeled by such continuum models. Here an attempt is made to address both short-comings by splitting variables into ‘fluctuating’ plus ‘average’ parts and time-averaging the rigid-plastic flow equations to produce effective equations which depend on the ‘average’ variables and variances of the ‘fluctuating’ variables. Microstructural physics can be introduced by appealing to the kinetic theory of inelastic hard-spheres to develop a constitutive relation for the new ‘fluctuating’ variables. The equations can then be closed by a suitable consitutive equation, requiring that this system of equations be stable in the short-wavelength limit. In this way a granular length-scale is introduced to the rigid-plastic flow equations. granular flow granular temperature plasticity Enthalten in Journal of engineering mathematics Kluwer Academic Publishers, 1967 52(2005), 1 vom: Juli, Seite 137-146 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:52 year:2005 number:1 month:07 pages:137-146 https://doi.org/10.1007/s10665-004-6010-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4309 GBV_ILN_4700 AR 52 2005 1 07 137-146 |
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10.1007/s10665-004-6010-9 doi (DE-627)OLC2074038275 (DE-He213)s10665-004-6010-9-p DE-627 ger DE-627 rakwb eng 510 VZ Hendy, Shaun C. verfasserin aut Towards a theory of granular plasticity 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer 2005 Abstract. A theory of granular plasticity based on the time-averaged rigid-plastic flow equations is presented. Slow granular flows in hoppers are often modeled as rigid-plastic flows with frictional yield conditions. However, such constitutive relations lead to systems of partial differential equations that are ill-posed: they possess instabilities in the short-wavelength limit. In addition, features of these flows clearly depend on microstructure in a way not modeled by such continuum models. Here an attempt is made to address both short-comings by splitting variables into ‘fluctuating’ plus ‘average’ parts and time-averaging the rigid-plastic flow equations to produce effective equations which depend on the ‘average’ variables and variances of the ‘fluctuating’ variables. Microstructural physics can be introduced by appealing to the kinetic theory of inelastic hard-spheres to develop a constitutive relation for the new ‘fluctuating’ variables. The equations can then be closed by a suitable consitutive equation, requiring that this system of equations be stable in the short-wavelength limit. In this way a granular length-scale is introduced to the rigid-plastic flow equations. granular flow granular temperature plasticity Enthalten in Journal of engineering mathematics Kluwer Academic Publishers, 1967 52(2005), 1 vom: Juli, Seite 137-146 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:52 year:2005 number:1 month:07 pages:137-146 https://doi.org/10.1007/s10665-004-6010-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4309 GBV_ILN_4700 AR 52 2005 1 07 137-146 |
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10.1007/s10665-004-6010-9 doi (DE-627)OLC2074038275 (DE-He213)s10665-004-6010-9-p DE-627 ger DE-627 rakwb eng 510 VZ Hendy, Shaun C. verfasserin aut Towards a theory of granular plasticity 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer 2005 Abstract. A theory of granular plasticity based on the time-averaged rigid-plastic flow equations is presented. Slow granular flows in hoppers are often modeled as rigid-plastic flows with frictional yield conditions. However, such constitutive relations lead to systems of partial differential equations that are ill-posed: they possess instabilities in the short-wavelength limit. In addition, features of these flows clearly depend on microstructure in a way not modeled by such continuum models. Here an attempt is made to address both short-comings by splitting variables into ‘fluctuating’ plus ‘average’ parts and time-averaging the rigid-plastic flow equations to produce effective equations which depend on the ‘average’ variables and variances of the ‘fluctuating’ variables. Microstructural physics can be introduced by appealing to the kinetic theory of inelastic hard-spheres to develop a constitutive relation for the new ‘fluctuating’ variables. The equations can then be closed by a suitable consitutive equation, requiring that this system of equations be stable in the short-wavelength limit. In this way a granular length-scale is introduced to the rigid-plastic flow equations. granular flow granular temperature plasticity Enthalten in Journal of engineering mathematics Kluwer Academic Publishers, 1967 52(2005), 1 vom: Juli, Seite 137-146 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:52 year:2005 number:1 month:07 pages:137-146 https://doi.org/10.1007/s10665-004-6010-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4309 GBV_ILN_4700 AR 52 2005 1 07 137-146 |
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10.1007/s10665-004-6010-9 doi (DE-627)OLC2074038275 (DE-He213)s10665-004-6010-9-p DE-627 ger DE-627 rakwb eng 510 VZ Hendy, Shaun C. verfasserin aut Towards a theory of granular plasticity 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer 2005 Abstract. A theory of granular plasticity based on the time-averaged rigid-plastic flow equations is presented. Slow granular flows in hoppers are often modeled as rigid-plastic flows with frictional yield conditions. However, such constitutive relations lead to systems of partial differential equations that are ill-posed: they possess instabilities in the short-wavelength limit. In addition, features of these flows clearly depend on microstructure in a way not modeled by such continuum models. Here an attempt is made to address both short-comings by splitting variables into ‘fluctuating’ plus ‘average’ parts and time-averaging the rigid-plastic flow equations to produce effective equations which depend on the ‘average’ variables and variances of the ‘fluctuating’ variables. Microstructural physics can be introduced by appealing to the kinetic theory of inelastic hard-spheres to develop a constitutive relation for the new ‘fluctuating’ variables. The equations can then be closed by a suitable consitutive equation, requiring that this system of equations be stable in the short-wavelength limit. In this way a granular length-scale is introduced to the rigid-plastic flow equations. granular flow granular temperature plasticity Enthalten in Journal of engineering mathematics Kluwer Academic Publishers, 1967 52(2005), 1 vom: Juli, Seite 137-146 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:52 year:2005 number:1 month:07 pages:137-146 https://doi.org/10.1007/s10665-004-6010-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4309 GBV_ILN_4700 AR 52 2005 1 07 137-146 |
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Abstract. A theory of granular plasticity based on the time-averaged rigid-plastic flow equations is presented. Slow granular flows in hoppers are often modeled as rigid-plastic flows with frictional yield conditions. However, such constitutive relations lead to systems of partial differential equations that are ill-posed: they possess instabilities in the short-wavelength limit. In addition, features of these flows clearly depend on microstructure in a way not modeled by such continuum models. Here an attempt is made to address both short-comings by splitting variables into ‘fluctuating’ plus ‘average’ parts and time-averaging the rigid-plastic flow equations to produce effective equations which depend on the ‘average’ variables and variances of the ‘fluctuating’ variables. Microstructural physics can be introduced by appealing to the kinetic theory of inelastic hard-spheres to develop a constitutive relation for the new ‘fluctuating’ variables. The equations can then be closed by a suitable consitutive equation, requiring that this system of equations be stable in the short-wavelength limit. In this way a granular length-scale is introduced to the rigid-plastic flow equations. © Springer 2005 |
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Abstract. A theory of granular plasticity based on the time-averaged rigid-plastic flow equations is presented. Slow granular flows in hoppers are often modeled as rigid-plastic flows with frictional yield conditions. However, such constitutive relations lead to systems of partial differential equations that are ill-posed: they possess instabilities in the short-wavelength limit. In addition, features of these flows clearly depend on microstructure in a way not modeled by such continuum models. Here an attempt is made to address both short-comings by splitting variables into ‘fluctuating’ plus ‘average’ parts and time-averaging the rigid-plastic flow equations to produce effective equations which depend on the ‘average’ variables and variances of the ‘fluctuating’ variables. Microstructural physics can be introduced by appealing to the kinetic theory of inelastic hard-spheres to develop a constitutive relation for the new ‘fluctuating’ variables. The equations can then be closed by a suitable consitutive equation, requiring that this system of equations be stable in the short-wavelength limit. In this way a granular length-scale is introduced to the rigid-plastic flow equations. © Springer 2005 |
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Abstract. A theory of granular plasticity based on the time-averaged rigid-plastic flow equations is presented. Slow granular flows in hoppers are often modeled as rigid-plastic flows with frictional yield conditions. However, such constitutive relations lead to systems of partial differential equations that are ill-posed: they possess instabilities in the short-wavelength limit. In addition, features of these flows clearly depend on microstructure in a way not modeled by such continuum models. Here an attempt is made to address both short-comings by splitting variables into ‘fluctuating’ plus ‘average’ parts and time-averaging the rigid-plastic flow equations to produce effective equations which depend on the ‘average’ variables and variances of the ‘fluctuating’ variables. Microstructural physics can be introduced by appealing to the kinetic theory of inelastic hard-spheres to develop a constitutive relation for the new ‘fluctuating’ variables. The equations can then be closed by a suitable consitutive equation, requiring that this system of equations be stable in the short-wavelength limit. In this way a granular length-scale is introduced to the rigid-plastic flow equations. © Springer 2005 |
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