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Motivated by problems arising in tear film dynamics, we present a model for the extensional flow of thin sheets of nematic liquid crystal. The rod-like molecules of these substances impart an elastic contribution to its response. We rescale…

Fluid Dynamics · Physics 2023-06-28 M. J. Taranchuk , L. J. Cummings , T. A. Driscoll , R. J. Braun

We introduce a class of continuum mechanical models aimed at describing the behaviour of viscoelastic fluids by incorporating concepts originated in the theory of solid plasticity. Within this class, even a simple model with constant…

Soft Condensed Matter · Physics 2024-09-04 Muhanna A. H Alrashdi , Giulio G. Giusteri

We consider the orientational instabilities, both homogeneous and spatially periodic, developing in a nematic liquid crystal under rectilinear oscillatory Couette flow for director alignment perpendicular to the flow plane. Using numerical…

Soft Condensed Matter · Physics 2007-05-23 O. S. Tarasov , A. P. Krekhov , L. Kramer

Pattern formation in uniaxial polymeric liquid crystals is studied for different dynamic closure approximations. Using the principles of mesoscopic non-equilibrium thermodynamics in a mean-field approach, we derive a Fokker-Planck equation…

Soft Condensed Matter · Physics 2015-06-05 Humberto Hijar , Diego Marquina de Hoyos , Ivan Santamaria-Holek

We study the spontaneous out-of-plane bending of a planar untwisted ribbon composed of nematic polymer networks activated by a change in temperature. Our theory accounts for both stretching and bending energies, which compete to establish…

Soft Condensed Matter · Physics 2023-02-03 Harmeet Singh , Epifanio G. Virga

Rod-shaped colloids with attractive tips can form linear aggregates that may subsequently undergo hierarchical self-assembly into nematic fluids. Inspired by recent modelling efforts on chromonic liquid crystals, composed of discotic…

Soft Condensed Matter · Physics 2020-07-01 H. H. Wensink

Flutter instability in an infinite medium is a form of material instability corresponding to the occurrence of complex conjugate squares of the acceleration wave velocities. Although its occurrence is known to be possible in elastoplastic…

Mathematical Physics · Physics 2015-05-20 Andrea Piccolroaz , Davide Bigoni , John R. Willis

A spontaneous buckling transition in thin layers of monodomain nematic liquid crystalline gel was observed by polarized light microscopy. The coupling between the orientational ordering of liquid crystalline solvent and the translational…

Soft Condensed Matter · Physics 2009-10-20 Guangnan Meng , Robert B. Meyer

Glassy polymers show strain hardening: at constant extensional load, their flow first accelerates, then arrests. Recent experiments under such loading have found this to be accompanied by a striking dip in the segmental relaxation time.…

Soft Condensed Matter · Physics 2015-06-11 S. M. Fielding , R. L. Moorcroft , R. G. Larson , M. E. Cates

Nonequilibrium molecular dynamics simulations are used to study the shear thinning behavior of immiscible symmetric polymer blends. The phase separated polymers are subjected to a simple shear flow imposed by moving a wall parallel to the…

Soft Condensed Matter · Physics 2009-11-07 Sandra Barsky , Mark O. Robbins

We here present two simplified models aimed at describing the long-term, irregular behaviours observed in the rheological response of certain complex fluids, such as periodic oscillations or chaotic-like variations. Both models exploit the…

Condensed Matter · Physics 2009-11-10 A. Aradian , M. E. Cates

Colloidal gels consist of percolating networks of interconnected arms. Their mechanical properties depend on the individual arms, and on their collective behaviour. We use numerical simulations to pull on a single arm, built from a model…

Soft Condensed Matter · Physics 2023-01-31 Kristian Thijssen , T. B. Liverpool , C. Patrick Royall , Robert L. Jack

It is presently believed that flows of viscoelastic polymer solutions in geometries such as a straight pipe or channel are linearly stable. Here we present experimental evidence that such flows can be nonlinearly unstable and can exhibit a…

Fluid Dynamics · Physics 2015-06-04 L. Pan , A. Morozov , C. Wagner , P. E. Arratia

Complex flow fields govern the deformation of polymers in various manufacturing processes. However, high flow rates may trigger reaction events (i.e., bond breaking or undesirable reaction of mechanophores) in raw polymeric materials,…

Soft Condensed Matter · Physics 2025-06-05 Mingchao Wang , Stephen Sanderson , Debra J. Searles

A simple one-dimensional mechanical model is proposed for splitting instability in swollen membranes. The splitting instability occurs by ring constriction. The bifurcation can be both subcritical and supercritical, depending on the…

Soft Condensed Matter · Physics 2015-06-18 Hidetsugu Sakaguchi , Satomi Maeyama

The nematic ordering in semiflexible polymers with contour length $L$ exceeding their persistence length $\ell_p$ is described by a confinement of the polymers in a cylinder of radius $r_{eff}$ much larger than the radius $r_\rho$, expected…

Soft Condensed Matter · Physics 2016-05-11 Sergei A. Egorov , Andrey Milchev , Kurt Binder

Diverse chemical, energy, environmental, and industrial processes involve the flow of polymer solutions in porous media. The accumulation and dissipation of elastic stresses as the polymers are transported through the tortuous, confined…

Fluid Dynamics · Physics 2024-07-02 Emily Y. Chen , Sujit S. Datta

We analyse the flow curves of a two-dimensional assembly of granular particles which are interacting via frictional contact forces. For packing fractions slightly below jamming, the fluid undergoes a large scale instability, implying a…

Soft Condensed Matter · Physics 2020-01-22 Shibu Saw , Mathias Grob , Annette Zippelius , Claus Heussinger

The linear stability of a shear-thinning, viscoelastic fluid undergoing any of the canonical rectilinear shear flows, viz., plane Couette flow and pressure-driven flow through a channel or a tube is analyzed in the creeping-flow limit using…

Fluid Dynamics · Physics 2024-08-05 Ramkarn Patne , Shraddha Mandloi , V. Shankar , Ganesh Subramanian

We investigate the effect of flow kinematics on the extensional viscosity of dilute polymer solutions by conducting dissipative particle dynamics simulations under uniaxial, planar, and biaxial extensional flows. At high extension rates,…

Soft Condensed Matter · Physics 2026-03-13 Yusuke Koide , Takato Ishida , Takashi Uneyama , Yuichi Masubuchi
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