scholarly journals Cubic crystal elastic constants of a white dwarf stellar core determined via modal analysis

AIP Advances ◽  
2021 ◽  
Vol 11 (10) ◽  
pp. 105111
Author(s):  
K. A. Pestka ◽  
A. M. Crews ◽  
R. C. Highley ◽  
L. K. Deale
2021 ◽  
Vol 11 (1) ◽  
Author(s):  
O. N. Senkov ◽  
D. B. Miracle

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.


2002 ◽  
Vol 35 (6) ◽  
pp. 767-773 ◽  
Author(s):  
W.R. Taylor ◽  
E. Roland ◽  
H. Ploeg ◽  
D. Hertig ◽  
R. Klabunde ◽  
...  

1998 ◽  
Vol 31 (6) ◽  
pp. 929-935 ◽  
Author(s):  
Thomas Gnäupel-Herold ◽  
Paul C. Brand ◽  
Henry J. Prask

In this work a method is developed that allows the computation of the single-crystal elastic constants for crystals of cubic symmetry from the diffraction elastic constants. The diffraction elastic constants can be obtained by measuring thehkl-dependent lattice strain response to an applied stress. Because of theirhkldependence they represent, partially, the anisotropic nature of the single-crystal elastic constants. The computation of the single-crystal elastic constants is carried out by a least-squares refinement which fits the calculated diffraction elastic constants to the measured ones.


1979 ◽  
Vol 53 (1) ◽  
pp. 75-85 ◽  
Author(s):  
E. V. Zarochentsev ◽  
S. M. Orel ◽  
V. N. Varyukhin

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