Buckling, Crumpling, and Tumbling of Semiflexible Sheets in Simple Shear Flow

Abstract

As 2D materials such as graphene, transition metal dichalcogenides, and 2D polymers become more prevalent, solution processing and colloidal-state properties are being exploited to create advanced and functional materials. However, our understanding of the fundamental behavior of 2D sheets and membranes in fluid flow is still lacking. In this work, we perform numerical simulations of athermal semiflexible sheets with hydrodynamic interactions in shear flow. For sheets initially oriented in the flow-gradient plane, we find buckling instabilities of different mode numbers that vary with bending stiffness and can be understood with a quasi-static model of elasticity. For different initial orientations, chaotic tumbling trajectories are observed. Notably, we find that sheets fold or crumple before tumbling but do not stretch again upon applying greater shear.

arXiv commentUpdated figures and text; fixed typos; movies can be found at https://dx.doi.org/10.6084/m9.figshare.13238447

References in corpus (15)

• Determination of the Bending Rigidity of Graphene via Electrostatic Actuation of Buckled Membranes
• Elastic Bending Modulus of Single-Layer Molybdenum Disulphide (MoS2): Finite Thickness Effect
• Generalization of the Rotne-Prager-Yamakawa mobility and shear disturbance tensors
• Rapid Sampling of Stochastic Displacements in Brownian Dynamics Simulations
• Morphological transitions of elastic filaments in shear flow
• Non-Hookean statistical mechanics of clamped graphene ribbons
• Tumbling of polymers in semidilute solution under shear flow
• Bending models of lipid bilayer membranes: spontaneous curvature and area-difference elasticity
• Dynamics of Semiflexible Polymers in a Flow Field
• Rapid Sampling of Stochastic Displacements in Brownian Dynamics Simulations with Stresslet Constraints
• Achiral symmetry breaking and positive Gaussian modulus lead to scalloped colloidal membranes
• Dynamics of flexible fibers in shear flow
• Complex dynamics of long, flexible fibers in shear
• Anomalous dynamics of an elastic membrane in an active fluid
• Flexible fibers in shear flow approach attracting periodic solutions

Cited by in corpus (4)

• Wrinkling and multiplicity in the dynamics of deformable sheets in uniaxial extensional flow
• U-shaped disks in Stokes flow: Chiral sedimentation of a non-chiral particle
• A numerical method for suspensions of articulated bodies in viscous flows
• Emergent Complexity in a Light-Driven Self-Oscillatory Crystal: A Molecular Perspective on Autonomous Behavior and Stimulus-Modulated Motion