Jammed frictional tetrahedra are hyperstatic
| Autor: | Neudecker, Max, Ulrich, Stephan, Herminghaus, Stephan, Schröter, Matthias |
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| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Phys. Rev. Lett. 111, 028001 (2013) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.111.028001 |
| Popis: | We prepare packings of frictional tetrahedra with volume fractions {\phi} ranging from 0.469 to 0.622 using three different experimental protocols under isobaric conditions. Analysis via X-ray micro-tomography reveals that the contact number Z grows with {\phi}, but does depend on the preparation protocol. While there exist four different types of contacts in tetrahedra packings, our analysis shows that the edge-to-face contacts contribute about 50% of the total increase in Z. The number of constraints per particle C increases also with {\phi} and even the loosest packings are strongly hyperstatic i.e. mechanically over-determined with C approximately twice the degrees of freedom each particle possesses. Comment: 5 pages, 5 figures Includes supplement: 10 pages, 8 figures |
| Databáze: | arXiv |
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