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A theoretical model for the stress distribution in granular matter. I. Basic equations

✍ Scribed by S.F. Edwards; C.C. Mounfield

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
473 KB
Volume
226
Category
Article
ISSN
0378-4371

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✦ Synopsis

This paper constructs the simplest model of granular matter such that the equations for the force distribution in the material can be derived and solved for simple geometries. This will be done by writing down an integral equation for the force field (which reflects the ability of athermal, friction dominated granular matter to shed the load it bears unevenly amongst their neighbours). This equation is then transformed into a differential one in order to obtain an equation for the force distribution within the system (which we will see is capable of describing mesoscopic systems). In subsequent publications we will consider the application of this theory to vertical and horizontal pipes and to the problem of the sandpile.

πŸ“œ SIMILAR VOLUMES

A theoretical model for the stress distr
A theoretical model for the stress distribution in granular matter. II. Forces in pipes
✍ C.C. Mounfield; S.F. Edwards πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 433 KB

As an application of the model we have developed for the stress within a granular material we consider the force distribution within vertical and horizontal pipes. For a vertical pipe (with rough walls) the average forces in the system follow the arch of a catenary between the walls. For a horizonta