A link between mechanical heterogeneity and nontrivial local structural power-law response in a model metallic glass

2022 ◽  
Vol 578 ◽  
pp. 121345
Author(s):  
Xuerui Wei ◽  
Bin Xu ◽  
Pengfei Guan
Keyword(s):  
Metallic Glass ◽  
Power Law ◽  
Structural Power ◽  
Mechanical Heterogeneity

scholarly journals Characterization of Nanoscale Mechanical Heterogeneity in a Metallic Glass by Dynamic Force Microscopy

2011 ◽  
Vol 106 (12) ◽  
Author(s):  
Y. H. Liu ◽  
D. Wang ◽  
K. Nakajima ◽  
W. Zhang ◽  
A. Hirata ◽  
...  
Keyword(s):  
Metallic Glass ◽  
Dynamic Force ◽  
Mechanical Heterogeneity ◽  
Force Microscopy

Shear thinning of the bulk metallic glass forming alloy Zr41.2 Ti13.8 Cu12.5 Ni10.0 Be22.5 close to the liquidus temperature.

2003 ◽  
Vol 806 ◽  
Author(s):  
Tyler Shaw ◽  
Christopher Way ◽  
Ralf Busch
Keyword(s):  
Metallic Glass ◽  
Bulk Metallic Glass ◽  
Power Law ◽  
Liquidus Temperature ◽  
Flow Behavior ◽  
Shear Thinning ◽  
Shear Rates ◽  
Glass Forming ◽  
Power Law Index ◽  
Type Response

ABSTRACTThe viscous properties of the multi component Zr41.2 Ti13.8 Cu12.5 Ni10.0 Be22.5 bulk metallic glass forming alloy was studied above the liquidus temperature. A shear thinning behavior for the molten alloy has been discovered. The shear thinning behavior can be characterized as a power law fluid with a power-law index of -0.5. Additionally, at low shear rates and temperatures near the liquidus temperature a visco-elastic type response in the flow behavior is observed.

scholarly journals General 2.5 power law of metallic glasses

2016 ◽  
Vol 113 (7) ◽  
pp. 1714-1718 ◽  
Author(s):  
Qiaoshi Zeng ◽  
Yu Lin ◽  
Yijin Liu ◽  
Zhidan Zeng ◽  
Crystal Y. Shi ◽  
...  
Keyword(s):  
Metallic Glass ◽  
Power Law ◽  
Metallic Glasses ◽  
General Rule ◽  
Peak Position ◽  
Diffraction Peak ◽  
Composition Change ◽  
First Order ◽  
Disordered Structure

Metallic glass (MG) is an important new category of materials, but very few rigorous laws are currently known for defining its “disordered” structure. Recently we found that under compression, the volume (V) of an MG changes precisely to the 2.5 power of its principal diffraction peak position (1/q1). In the present study, we find that this 2.5 power law holds even through the first-order polyamorphic transition of a Ce68Al10Cu20Co2 MG. This transition is, in effect, the equivalent of a continuous “composition” change of 4f-localized “big Ce” to 4f-itinerant “small Ce,” indicating the 2.5 power law is general for tuning with composition. The exactness and universality imply that the 2.5 power law may be a general rule defining the structure of MGs.

Heating Rate and Composition Dependence of Crystallization Temperature of Cu-Based Metallic Glasses

2016 ◽  
Vol 1141 ◽  
pp. 156-161 ◽  
Author(s):  
Supriya Kasyap ◽  
Sonal Prajapati ◽  
Arun Pratap
Keyword(s):  
Metallic Glass ◽  
Heating Rate ◽  
Power Law ◽  
Metallic Glasses ◽  
Crystallization Temperature ◽  
Composition Dependence ◽  
Theoretical Expression ◽  
Linear Variation ◽  
Peak Crystallization Temperature ◽  
Good Agreement

The variation of onset of crystallization temperature (Tx) and peak crystallization temperature (Tp) with heating rate (q) is studied. Tx and Tp vary in a power law behavior with heating rate (q) for Cu60 Zr20Ti20 metallic glass and these parameters show a linear variation for Cu60Zr40 metallic glass. The power law variation is expressed as Tx (or Tp) = T0 [q]y; where, q is the normalized heating rate, T0 is the Tx (or Tp) at a heating rate of 10Cmin-1. Further, the calculated values of Tx (or Tp) are found to be in good agreement with the experimental results. Hence, the power law relation is found to be an appropriate theoretical expression for the variation of crystallization temperature (Tx or Tp) with heating rate (q) for Cu60 Zr20Ti20 metallic glass. In addition to heating rate, the composition of a metallic glass also affects its crystallization temperature. It is observed that the characteristics temperatures shift towards higher values with increase in number of components.

The mechanism of power-law scaling behavior by controlling shear bands in bulk metallic glass

2015 ◽  
Vol 639 ◽  
pp. 663-670 ◽  
Author(s):  
Z. Wang ◽  
J.W. Qiao ◽  
G. Wang ◽  
K.A. Dahmen ◽  
P.K. Liaw ◽  
...  
Keyword(s):  
Metallic Glass ◽  
Bulk Metallic Glass ◽  
Power Law ◽  
Shear Bands ◽  
Scaling Behavior

Analysis of power law assumptions for short-period comets and Kuiper bodies

1999 ◽  
Vol 173 ◽  
pp. 289-293 ◽  
Author(s):  
J.R. Donnison ◽  
L.I. Pettit
Keyword(s):  
Power Law ◽  
Pareto Distribution ◽  
Limited Data ◽  
Short Period ◽  
Probability Plots ◽  
Exponential Probability

AbstractA Pareto distribution was used to model the magnitude data for short-period comets up to 1988. It was found using exponential probability plots that the brightness did not vary with period and that the cut-off point previously adopted can be supported statistically. Examination of the diameters of Trans-Neptunian bodies showed that a power law does not adequately fit the limited data available.

Hearing in Mice by GSR Audiometry: II. Magnitude of Unconditioned GSR as a Function of Intensity and Frequency Interactions

1968 ◽  
Vol 11 (1) ◽  
pp. 169-178 ◽  
Author(s):  
Alan Gill ◽  
Charles I. Berlin
Keyword(s):  
Power Law ◽  
Response Magnitude ◽  
Single Units ◽  
Spectral Content ◽  
Hearing Sensitivity ◽  
Subjective Magnitude ◽  
Orderly Fashion ◽  
Viiith Nerve

The unconditioned GSR’s elicited by tones of 60, 70, 80, and 90 dB SPL were largest in the mouse in the ranges around 10,000 Hz. The growth of response magnitude with intensity followed a power law (10 .17 to 10 .22 , depending upon frequency) and suggested that the unconditioned GSR magnitude assessed overall subjective magnitude of tones to the mouse in an orderly fashion. It is suggested that hearing sensitivity as assessed by these means may be closely related to the spectral content of the mouse’s vocalization as well as to the number of critically sensitive single units in the mouse’s VIIIth nerve.

How Useful is the Power Law of Practice for Recognizing Practice in Concentration Tests?

2007 ◽  
Vol 23 (3) ◽  
pp. 157-165 ◽  
Author(s):  
Carmen Hagemeister
Keyword(s):  
Logistic Regression ◽  
Reaction Time ◽  
Power Law ◽  
Error Rate ◽  
Reaction Times ◽  
Practice Effect ◽  
Practice Effects ◽  
Rate Decrease ◽  
Small Practice

Abstract. When concentration tests are completed repeatedly, reaction time and error rate decrease considerably, but the underlying ability does not improve. In order to overcome this validity problem this study aimed to test if the practice effect between tests and within tests can be useful in determining whether persons have already completed this test. The power law of practice postulates that practice effects are greater in unpracticed than in practiced persons. Two experiments were carried out in which the participants completed the same tests at the beginning and at the end of two test sessions set about 3 days apart. In both experiments, the logistic regression could indeed classify persons according to previous practice through the practice effect between the tests at the beginning and at the end of the session, and, less well but still significantly, through the practice effect within the first test of the session. Further analyses showed that the practice effects correlated more highly with the initial performance than was to be expected for mathematical reasons; typically persons with long reaction times have larger practice effects. Thus, small practice effects alone do not allow one to conclude that a person has worked on the test before.

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