Statistical mechanics of granular materials: stress propagation and distribution of contact forces
| العنوان: | Statistical mechanics of granular materials: stress propagation and distribution of contact forces |
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| المؤلفون: | Sam F. Edwards, D. V. Grinev |
| المصدر: | Granular Matter. 4:147-153 |
| بيانات النشر: | Springer Science and Business Media LLC, 2003. |
| سنة النشر: | 2003 |
| مصطلحات موضوعية: | Physics, Statically indeterminate, General Physics and Astronomy, Statistical mechanics, Function (mathematics), Mechanics, Granular material, Contact force, Stress (mechanics), symbols.namesake, Classical mechanics, Mechanics of Materials, Boltzmann constant, symbols, General Materials Science, Tensor |
| الوصف: | In a static granular material all particles are touching their neighbours and given a sufficiently high density a jammed state results. A new approach which employs statistical-mechanical concepts is offered for the description of such states. We investigate the simplest statically determinate problem and derive equations of stress propagation. The simplest Boltzmann type equation for the probability of contact force distribution is formulated and solved for model packings. The theory predicts a distribution for the probability of finding a contact force of magnitude f as e − f / ¯f which is in a good agreement with experimental data. We also propose a pathway to calculating the macroscopic stress tensor as a function of compactivity in a static and slowly sheared granular media. |
| تدمد: | 1434-7636 1434-5021 |
| DOI: | 10.1007/s10035-002-0117-3 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::f78d43b33de57368111c565df56dbadc https://doi.org/10.1007/s10035-002-0117-3 |
| Rights: | CLOSED |
| رقم الانضمام: | edsair.doi...........f78d43b33de57368111c565df56dbadc |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 14347636 14345021 |
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| DOI: | 10.1007/s10035-002-0117-3 |