Pressure derivatives of elastic constants of monoclinic M(NO3)3·9H2O (M=Al, Fe, Cr) and third-order elastic constants of Al(NO3)3·9H2O

1989 ◽  
Vol 24 (6) ◽  
pp. 2209-2213 ◽  
Author(s):  
E. Behnke ◽  
S. Haussühl
Keyword(s):  
Elastic Constants ◽  
Third Order ◽  
Third Order Elastic Constants ◽  
Derivatives Of

scholarly journals Third Order Pressure Derivative Elastic Properties of Alkali Cyanide

2020 ◽  
Vol 6 (10) ◽  
pp. 84-88
Author(s):  
Preeti Singh Bahadur
Keyword(s):  
Experimental Data ◽  
Elastic Constants ◽  
Body Force ◽  
Third Order ◽  
Pressure Derivative ◽  
Third Order Elastic Constants ◽  
Increasing Trend ◽  
Three Body ◽  
Increasing Temperature ◽  
Derivatives Of

In this paper we have evaluated the pressure derivatives of third order elastic constants in the CsCN material. An extended three body force shell model (ETSM), which incorporates the effects of translational– rotational (TR) coupling, three body interactions (TBI) and anharmonicity, has been applied. The pressure derivatives of TOECs, dc111/dp, dc112/dp, dc166/dp, dc111/dp dc123/dp and dc456/dp show increasing trend with increasing temperature. However their values could not be compared due to lack of experimental data.

THERMOELASTIC BEHAVIOUR OF FLUORITE SOLIDS USING THREE-BODY FORCE SHELL MODEL

1992 ◽  
Vol 06 (19) ◽  
pp. 3179-3188 ◽  
Author(s):  
S. S. BEDI ◽  
MAJOR SINGH ◽  
JASPAL SINGH
Keyword(s):  
Shell Model ◽  
Elastic Constants ◽  
Body Force ◽  
Thermal Phonon ◽  
Third Order ◽  
Third Order Elastic Constants ◽  
Three Body ◽  
Body Potential ◽  
Derivatives Of ◽  
Theoretical Results

The expressions for the second and third order elastic constants of fluorite lattice are derived using Lundqvist three-body potential incorporating thermal phonon pressure and inter-sublattice displacement through the shell model. Theoretically calculated values of the third order elastic constants are compared with the theoretical results of other workers and experiments. First order pressure derivatives of the second order elastic constants calculated using Thurston and Brugger relations for Ca 1-x Sr x F 2 and Sr 1-x Ba x F 2 are found to be in agreement with the experiment.

scholarly journals Зависимость от давления коэффициентов упругости алюминий-магниевого сплава AMg6 и нанокомпозитного сплава n-Mg6/C-=SUB=-60-=/SUB=-

2018 ◽  
Vol 60 (4) ◽  
pp. 765
Author(s):  
В.М. Прохоров ◽  
Е.Л. Громницкая
Keyword(s):  
Elastic Constants ◽  
Second Order ◽  
Third Order ◽  
Polycrystalline Aluminum ◽  
Piston Cylinder ◽  
Third Order Elastic Constants ◽  
Study Results ◽  
Aluminum Alloy Amg6 ◽  
Mg Content ◽  
Derivatives Of

AbstractThe ultrasonic study results for dependence of the elastic wave velocities and second-order elasticity coefficients of the polycrystalline aluminum alloy AMg6 and its nanocomposite n -AMg6/C_60 on hydrostatic pressure up to 1.6 GPa have been described. The ultrasonic research has been carried out using a highpressure ultrasonic piezometer based on the piston-cylinder device. The pressure derivatives of the secondorder elastic constants of these materials established in the present study have been compared with the results of the third-order elastic constants measurements of the test alloys using the Thurston–Brugger method. Involving available literature data, we determined the relationships between the pressure derivatives of the second-order elastic constants of the AMg6 alloy and the Mg-content and nanostructuring.

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