Effect of poisson ratio on cellular structure formation

Mechanically active cells in soft media act as force dipoles. The resulting elastic interactions are long ranged and favor the formation of strings. We show analytically that due to screening, the effective interaction between strings decays exponentially, with a decay length determined only by geom...

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Hauptverfasser: Bischofs-Pfeifer, Ilka (VerfasserIn) , Schwarz, Ulrich S. (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 1 August 2005
In: Physical review letters
Year: 2005, Jahrgang: 95, Heft: 6
ISSN:1079-7114
DOI:10.1103/PhysRevLett.95.068102
Online-Zugang:Verlag, Volltext: http://dx.doi.org/10.1103/PhysRevLett.95.068102
Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevLett.95.068102
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Verfasserangaben:I.B. Bischofs and U.S. Schwarz

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520 |a Mechanically active cells in soft media act as force dipoles. The resulting elastic interactions are long ranged and favor the formation of strings. We show analytically that due to screening, the effective interaction between strings decays exponentially, with a decay length determined only by geometry. Both for disordered and ordered arrangements of cells, we predict novel phase transitions from paraelastic to ferroelastic and antiferroelastic phases as a function of the Poisson ratio. 
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