Jammed Frictional Tetrahedra are Hyperstatic

Schröter M, Neudecker M, Ulrich S, Herminghaus S (2013)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2013

Journal

Physical Review Letters American Physical Society

Publisher: American Physical Society

Book Volume: 111

Journal Issue: 2

DOI: 10.1103/PhysRevLett.111.028001

Abstract

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 microtomography 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.

Authors with CRIS profile

Matthias Schröter Lehrstuhl für Multiscale Simulation of Particulate Systems (MSS)

Involved external institutions

Georg-August-Universität Göttingen DE Germany (DE)

How to cite

APA:

Schröter, M., Neudecker, M., Ulrich, S., & Herminghaus, S. (2013). Jammed Frictional Tetrahedra are Hyperstatic. Physical Review Letters, 111(2). https://doi.org/10.1103/PhysRevLett.111.028001

MLA:

Schröter, Matthias, et al. "Jammed Frictional Tetrahedra are Hyperstatic." Physical Review Letters 111.2 (2013).

BibTeX: Download