On the granular stress-geometry equation
Using discrete calculus, we derive the missing stress-geometry equation for rigid granular materials in two dimensions, in the mean-field approximation. We show that i) the equation imposes that the voids cannot carry stress, ii) stress transmission is generically elliptic and has a quantitative rel...
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| Veröffentlicht in: | Europhysics letters 2014-01, Vol.105 (2), p.28001-p1-28001-p6 |
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| container_end_page | p1-28001-p6 |
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| container_issue | 2 |
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| container_title | Europhysics letters |
| container_volume | 105 |
| creator | DeGiuli, Eric Schoof, Christian |
| description | Using discrete calculus, we derive the missing stress-geometry equation for rigid granular materials in two dimensions, in the mean-field approximation. We show that i) the equation imposes that the voids cannot carry stress, ii) stress transmission is generically elliptic and has a quantitative relation to anisotropic elasticity, and iii) the packing fabric plays an essential role. |
| doi_str_mv | 10.1209/0295-5075/105/28001 |
| format | Article |
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| ispartof | Europhysics letters, 2014-01, Vol.105 (2), p.28001-p1-28001-p6 |
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| source | IOP Publishing Journals |
| subjects | 45.70.-n 46.05.+b 83.80.Fg Approximation Calculus Elasticity Granular materials Mathematical analysis Stresses Two dimensional Voids |
| title | On the granular stress-geometry equation |
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