Viscous flow and jump dynamics in molecular supercooled liquids. I. Translations

Cristiano De Michele; Dino Leporini

doi:10.1103/physreve.63.036701

Viscous flow and jump dynamics in molecular supercooled liquids. II. Rotations

Physical Review E ◽

10.1103/physreve.63.036702 ◽

2001 ◽

Vol 63 (3) ◽

Cited By ~ 53

Author(s):

Cristiano De Michele ◽

Dino Leporini

Keyword(s):

Viscous Flow ◽

Supercooled Liquids ◽

Jump Dynamics

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Viscous flow in supercooled liquids analyzed in terms of transport theory for random media with energetic disorder

Physical Review Letters ◽

10.1103/physrevlett.58.767 ◽

1987 ◽

Vol 58 (8) ◽

pp. 767-770 ◽

Cited By ~ 200

Author(s):

H. Bässler

Keyword(s):

Viscous Flow ◽

Random Media ◽

Transport Theory ◽

Supercooled Liquids ◽

Energetic Disorder

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Mechanics of Supercooled Liquids

Journal of Applied Mechanics ◽

10.1115/1.4028587 ◽

2014 ◽

Vol 81 (11) ◽

Cited By ~ 6

Author(s):

Jianguo Li ◽

Qihan Liu ◽

Laurence Brassart ◽

Zhigang Suo

Keyword(s):

Viscous Flow ◽

Chemical Potential ◽

Relative Rate ◽

Diffusion Flux ◽

Continuum Theory ◽

Supercooled Liquid ◽

Supercooled Liquids ◽

Thermodynamic Consideration ◽

Self Diffusion ◽

Molecular Dimension

Pure substances can often be cooled below their melting points and still remain in the liquid state. For some supercooled liquids, a further cooling slows down viscous flow greatly, but does not slow down self-diffusion as much. We formulate a continuum theory that regards viscous flow and self-diffusion as concurrent, but distinct, processes. We generalize Newton's law of viscosity to relate stress, rate of deformation, and chemical potential. The self-diffusion flux is taken to be proportional to the gradient of chemical potential. The relative rate of viscous flow and self-diffusion defines a length, which, for some supercooled liquids, is much larger than the molecular dimension. A thermodynamic consideration leads to boundary conditions for a surface of liquid under the influence of applied traction and surface energy. We apply the theory to a cavity in a supercooled liquid and identify a transition. A large cavity shrinks by viscous flow, and a small cavity shrinks by self-diffusion.

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Viscous Flow Behaviors of Supercooled Liquids of Pre-Annealed Zr55Cu30Al10Ni5 Bulk Metallic Glasses

Materials Science Forum ◽

10.4028/www.scientific.net/msf.561-565.1271 ◽

2007 ◽

Vol 561-565 ◽

pp. 1271-1274 ◽

Cited By ~ 2

Author(s):

Tohru Yamasaki ◽

S. Maeda ◽

Takeyuki Kikuchi ◽

Takeshi Fukami ◽

Yokoyama Yoshihiko ◽

...

Keyword(s):

Viscous Flow ◽

Metallic Glasses ◽

High Speed ◽

Applied Load ◽

Flow Behavior ◽

Bulk Metallic Glasses ◽

Supercooled Liquid ◽

Supercooled Liquids ◽

Supercooled Liquid Region ◽

Liquid Region

Viscous flow behavior in supercooled liquid region of as-cast and pre-annealed Zr55Cu30Al10Ni5 bulk metallic glasses has been examined by using a penetration viscometer under high-speed heating rate of 20, 200 and 400 °C/min. Applied load for the cylindrical-shaped penetration indenter with a diameter of 1 mm was varied from 0.049 N to 0.294 N. Viscosity was quite independent of these applied loads. By pre-annealing the bulk metallic glasses at 400 °C, the density of the glasses increased, while the viscosity and the activation energy for viscous flow in their soopercooled liquid decreased with the pre-annealing treatments. Corresponding measurements of the differential thermal calorimetry (DSC) have been also done.

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Viscous Flow Behaviour of Supercooled Liquids and Mechanical Properties in Zr-Cu-Ni-Al Bulk Metallic Glasses

Materials Science Forum ◽

10.4028/www.scientific.net/msf.654-656.1046 ◽

2010 ◽

Vol 654-656 ◽

pp. 1046-1049 ◽

Cited By ~ 7

Author(s):

Tohru Yamasaki ◽

M. Yamada ◽

T. Mori ◽

Takeyuki Kikuchi ◽

Yokoyama Yoshihiko ◽

...

Keyword(s):

Mechanical Properties ◽

Viscous Flow ◽

Heating Rate ◽

Metallic Glasses ◽

High Speed ◽

Bulk Metallic Glasses ◽

Strong Relationship ◽

Supercooled Liquids ◽

Flow Behaviour ◽

Compression Tests

Viscous flow behaviour of supercooled liquids and mechanical properties in Zr55+XCu30-XNi5Al10 (X=0, 5 and 10 at. %) and Zr65Cu18Ni7Al10 bulk metallic glasses (BMGs) have been examined. Viscosity has been measured by using a penetration viscometer at a high-speed heating rate of 400 K/min. With increasing Zr-content, Tg tended to decrease and Tx tended to increase, resulting Tx (=Tx-Tg) increaseing up to about 170 K under a heating rate of 400 K/min by the DSC analysis. The viscosity lowered about one order of magnitude, e.g., minimum value of the viscosity decreased from 3~4x106 Pa-s for the Zr55Cu30Ni5Al10 and Zr60Cu25Ni5Al10 BMGs down to 5~6x105 Pa-s for the Zr65Cu20Ni5Al10 and Zr65Cu18Ni7Al10 BMGs under the same heating condition. Compression tests were also carried out at a slow strain rate of about 1 x 10-4 s-1 at room temperature. With increasing Zr-content, the apparent yield stress was decreased but the total strain at fracture was increased significantly, suggesting that there is a strong relationship between viscosity and the mechanical properties in these BMGs.

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