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Effect of Poisson ratio on cellular structure formation

Ilka B. Bischofs·Ulrich S. Schwarz
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Abstract

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 anti-ferroelastic phases as a function of Poisson ratio.

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Ilka B. Bischofs, Ulrich S. Schwarz. 2005-04-05. Effect of Poisson ratio on cellular structure formation. https://doi.org/10.1103/physrevlett.95.068102

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