Fourth-order elastic constants and the temperature dependence of second-order elastic constants in cubic materials

1975 ◽  
Vol 11 (10) ◽  
pp. 3998-4007 ◽  
Author(s):  
J. A. Garber ◽  
A. V. Granato
Keyword(s):  
Temperature Dependence ◽  
Elastic Constants ◽  
Fourth Order ◽  
Second Order ◽  
Cubic Materials

Fourth-order elastic constants and second pressure derivatives of white tin

1991 ◽  
Vol 69 (7) ◽  
pp. 801-807
Author(s):  
R. Ramji Rao ◽  
A. Padmaja
Keyword(s):  
Phase Transformation ◽  
Hydrostatic Pressure ◽  
Elasticity Theory ◽  
Elastic Constants ◽  
Fourth Order ◽  
Finite Strain ◽  
Second Order ◽  
Tetragonal Crystal ◽  
Derivatives Of

The expressions for the 25 fourth-order elastic constants of a body-centered tetragonal crystal are derived with interactions extending to fifth neighbours. The expressions for its effective second-order elastic constants are obtained in terms of its natural second-, third-, and fourth-order elastic constants using the finite strain elasticity theory. The fourth-order elastic constants and the second pressure derivatives of white tin are evaluated using these formulae. All the second pressure derivatives of white tin except that of C11 are positive. The second pressure derivatives C12, C13, and C33 are large suggesting that phase transformation will occur in white tin when subjected to hydrostatic pressure.

Temperature dependence of the second-order elastic constants of cubic crystals

1999 ◽  
Vol 41 (2) ◽  
pp. 208-212 ◽  
Author(s):  
B. P. Sorokin ◽  
D. A. Glushkov ◽  
K. S. Aleksandrov
Keyword(s):  
Temperature Dependence ◽  
Elastic Constants ◽  
Second Order ◽  
Cubic Crystals

scholarly journals Temperature dependence of the second-order elastic constants of Cu-Zn-Al shape-memory alloy in its martensitic andβphases

1997 ◽  
Vol 56 (9) ◽  
pp. 5200-5206 ◽  
Author(s):  
Alfons Gonzàlez-Comas ◽  
Lluís Mañosa ◽  
Antoni Planes ◽  
F. C. Lovey ◽  
J. L. Pelegrina ◽  
...  
Keyword(s):  
Shape Memory Alloy ◽  
Shape Memory ◽  
Temperature Dependence ◽  
Elastic Constants ◽  
Second Order

Temperature dependence of the second order elastic constants of flourite solids

1993 ◽  
Vol 85 (9) ◽  
pp. 805-809 ◽  
Author(s):  
S.S. Bedi ◽  
Major Singh ◽  
Jaspal Singh
Keyword(s):  
Temperature Dependence ◽  
Elastic Constants ◽  
Second Order
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