Thermally fluctuating, semiflexible sheets in simple shear flow

Abstract

We perform Brownian dynamics simulations of semiflexible colloidal sheets with hydrodynamic interactions and thermal fluctuations in shear flow. As a function of the ratio of bending rigidity to shear energy...

Dynamics of a self-interacting sheet in shear flow

“…The nature of this shear-thinning into shear-thickening behavior is different than that with thermal energy but no interactions, which resulted from the ''u-turn'' radius of a flipping sheet. 54 In our current work, sheets in the shear-thinning regime are 1D or 2D folded.…”

“…50 Recently, Perrin and Botto also showed (again in 2D) that, despite multi-layer sheets having a higher bending rigidity than single-layer sheets, 51 a lateral hydrodynamic force at moderate sheet separations can cause the sheets to bend for shear rates much lower than expected. 52 Previous work by Silmore et al 53,54 showed that Jeffery's equations for the rotation of rigid ellipsoids in shear 55 matched well with the behavior of semi-flexible sheets in shear under certain conditions. 53 Introducing thermal energy resulted in shear-thinning followed by shear-thickening rheological behavior 54 which has been observed in dilute graphene suspensions 56 as well as dilute graphene oxide suspensions.…”

“…Similar to the model employed in previous work, 53,54 we construct hexagonal sheets with circumradius L = 39a with beads of radius a such that each interior bead has 6 tangent neighbors, totalling N = 1141 beads. We also apply many of the same forces to beads within the sheets.…”

“…Note that thermal energy would cause deviations from the discussed conformational behaviors which would decrease with increasing shear rate, likely resulting in the shear-thinning behavior seen in previous work. 54…”

Simulation of interacting elastic sheets in shear flow: Insights into buckling, sliding, and reassembly of graphene nanosheets in sheared liquids

“…Applications of graphene and other two-dimensional (2D) materials suspended in shear liquids pose new scientific questions for the fluid dynamics and non-linear mechanics of thin structures. [1][2][3][4] Two-dimensional nanomaterials are sheet-like crystals of atomic thickness which often take the form of colloidal particles. In this form, they are most often processed in the liquid state (e.g., in inks, [5][6][7] coatings, 8,9 polymer nanocomposite processing 10,11 and in liquid-phase exfoliation 12,13 ).…”