1. Transition between solid and liquid state of yield-stress fluids under purely extensional deformations
- Author
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Cameron C. Hopkins, Stylianos Varchanis, Alexandros Syrakos, Simon J. Haward, Yannis Dimakopoulos, John Tsamopoulos, and Amy Q. Shen
- Subjects
Maple ,Multidisciplinary ,Materials science ,Viscoplasticity ,Microfluidics ,Mechanics ,engineering.material ,viscoplastic materials ,extensional flow ,01 natural sciences ,010305 fluids & plasmas ,Stress field ,yield strain ,Applied Physical Sciences ,yield stress ,Flow conditions ,Planar ,Shear (geology) ,0103 physical sciences ,Physical Sciences ,engineering ,elastoviscoplastic materials ,Elongation ,010306 general physics - Abstract
Significance The stress-induced transition from solid to liquid state is commonly referred to as “yielding.” Yield-stress materials, including pastes, muds, blood, crude oil, and condiments like mayonnaise, have solid-like properties at rest but can be made to yield and flow under sufficient applied stress. Despite their ubiquity and importance, the existing 100-y-old theory describing the behavior of such materials is only well verified under basic conditions of applied shear stress and assumes that the solid state is undeformable. Experiments and simulations conducted under pure extension provide fundamental information on the behavior of yield-stress materials and demand an overhaul of the current standard theory in order to account for material deformation in the solid-like state prior to yielding and flow., We report experimental microfluidic measurements and theoretical modeling of elastoviscoplastic materials under steady, planar elongation. Employing a theory that allows the solid state to deform, we predict the yielding and flow dynamics of such complex materials in pure extensional flows. We find a significant deviation of the ratio of the elongational to the shear yield stress from the standard value predicted by ideal viscoplastic theory, which is attributed to the normal stresses that develop in the solid state prior to yielding. Our results show that the yield strain of the material governs the transition dynamics from the solid state to the liquid state. Finally, given the difficulties of quantifying the stress field in such materials under elongational flow conditions, we identify a simple scaling law that enables the determination of the elongational yield stress from experimentally measured velocity fields.
- Published
- 2020