Onset of rigidity in 3D stretched string networks

We extend a previously defined model consisting of connected strings with random natural lengths to three-dimensions [Delaney et al., Europhys. Lett. 72 , 990 (2005)]. When this system is expanded, a threshold is reached where a fraction of the strings form a taut network. Further expansion increase...

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Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2013-02, Vol.86 (2), Article 44
Main Authors: Delaney, Gary W., Khoury, David
Format: Article
Language:English
Subjects:
Complex Systems
Condensed Matter Physics
Condensed matter: structure, mechanical and thermal properties
Crystalline state (including molecular motions in solids)
Crystals
Exact sciences and technology
Fluid- and Aerodynamics
Physics
Physics and Astronomy
Regular Article
Solid State Physics
Structure
Structure of solids and liquids
crystallography
Theory of crystal structure, crystal symmetry
calculations and modeling
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Summary:We extend a previously defined model consisting of connected strings with random natural lengths to three-dimensions [Delaney et al., Europhys. Lett. 72 , 990 (2005)]. When this system is expanded, a threshold is reached where a fraction of the strings form a taut network. Further expansion increases the fraction of taut strings up until the point where all strings are taut and the classical problem of a spring network is recovered. We consider a number of string topologies derived from common crystal lattice structures found in nature. We analyze the properties of the system at and above the threshold expansion and demonstrate several unifying features of the model across all lattice structures considered.
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/e2012-30445-y