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Evolution of space-spanning microstructure and mechanical response

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Presentation on theme: "Evolution of space-spanning microstructure and mechanical response"— Presentation transcript:

1 Fig. 3 Evolution of space-spanning microstructure and mechanical response.
Evolution of space-spanning microstructure and mechanical response. (A and B) Percolation processes for a dilute (ϕ = 8%, cp = 1.5 mg/g) and a dense (ϕ = 27%, cp = 1 mg/g) sample. The processes of isotropic and directed percolation of all particles are plotted as thin orange curve and orange symbols, respectively. The processes of isotropic and directed percolation of isostatic particles are plotted as thick purple curve and purple symbols, respectively. (C and D) Mechanical response for the same samples. Elastic (G′) and viscous (G′′) shear moduli at the highest available frequency (f=0.1τB−1), obtained by two-particle microrheology, are drawn as filled and open circles, respectively. Error bars are obtained following (71, 72). The thick gray curve is the internal stress Σ obtained from the measure of bond-breaking probability (73). The thin orange and thick purple vertical lines show the isotropic percolation times for all particles (τITall) and isostatic particles (τITIS), respectively. The orange dashed vertical line in (D) shows the directed percolation time for all particles (τDall). The gray vertical band shows the possible range of mechanical gelation time τgel (see the Supplementary Materials). Hideyo Tsurusawa et al. Sci Adv 2019;5:eaav6090 Copyright © 2019 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. Distributed under a Creative Commons Attribution NonCommercial License 4.0 (CC BY-NC).

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