Short-range ordering governs brittleness and ductility in W-Ta solid solution: Insights from Pugh's shear-to-bulk modulus ratio

AbstractIn Part I (Vinograd, 2002) the relationship between temperature, composition and free energy of the diopside–jadeite solid solution was described using a CVM model. Here the same relationship is described using a combination of Redlich-Kister (RK) polynomials and Gaussian functions. The use of the Gaussians permits an accurate description of the free energy dip centred at Jd50, which is caused by the long-range ordering, while the effect of the short-range ordering can be easily modelled using the RK polynomial The simplified RK-Gaussian description is extended to the three-component diopside–jadeite–hedenbergite solid solution. The polynomial description permits an easy incorporation of the derived activity-composition relations into phase-equilibrium computation software.

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Improving the stress-controlled fatigue life of low solid-solution hardening Ni-Cr alloys by enhancing short range ordering degree

International Journal of Fatigue ◽

10.1016/j.ijfatigue.2021.106266 ◽

2021 ◽

pp. 106266

Author(s):

Y.J. Zhang ◽

D. Han ◽

X.W. Li

Keyword(s):

Solid Solution ◽

Fatigue Life ◽

Short Range ◽

Solid Solution Hardening ◽

Solution Hardening ◽

Short Range Ordering ◽

Ordering Degree

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Effect of oxygen on short-range order in the Ba1$minus;xBixF2+x solid solution

Materials Letters ◽

10.1016/s0167-577x(03)00273-8 ◽

2003 ◽

Vol 57 (26-27) ◽

pp. 4115-4126 ◽

Cited By ~ 3

Author(s):

M ELOMARI

Keyword(s):

Solid Solution ◽

Short Range ◽

Short Range Order ◽

Range Order ◽

Effect Of Oxygen

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Generalization of intrinsic ductile-to-brittle criteria by Pugh and Pettifor for materials with a cubic crystal structure

Scientific Reports ◽

10.1038/s41598-021-83953-z ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

O. N. Senkov ◽

D. B. Miracle

Keyword(s):

Crystal Structure ◽

Shear Modulus ◽

Bulk Modulus ◽

Single Crystal ◽

Elastic Constants ◽

Mechanical Analysis ◽

Quantum Mechanical ◽

Modulus Ratio ◽

Cubic Crystal ◽

The Difference

AbstractTwo classical criteria, by Pugh and Pettifor, have been widely used by metallurgists to predict whether a material will be brittle or ductile. A phenomenological correlation by Pugh between metal brittleness and its shear modulus to bulk modulus ratio was established more than 60 years ago. Nearly four decades later Pettifor conducted a quantum mechanical analysis of bond hybridization in a series of intermetallics and derived a separate ductility criterion based on the difference between two single-crystal elastic constants, C12–C44. In this paper, we discover the link between these two criteria and show that they are identical for materials with cubic crystal structures.

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