Second- and Third-Order Elastic Constants of Aluminum and Lead. Page: 1 of 34
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- RECEIVED iY DTiE MAR 17
CO-1198-704
Second and Third-Order Elastic Constants
of Aluminum and Lead* THIS DOCUMENT CONFIRMED AS
UNCLASSIFIED
DIVISION F SIFICATION
BY -
t . DATE' - '
Tetsuro Suzuki
Department of Metallurgy and Mining Engineering
Department of Physics and Materials Research Labtratory
University of Illinois, Urbana, Illinois 61801
The second and third order elastic constants of Al and Pb
S aare calculated as the second and third derivatives of the binding
energy with respect to the finite deformation parameter. The
binding energy is derived from a local pseudopotential by use of
I gg~ oaa second order perturbation theory. It is shown that the binding
0
energy satisfies not only the diagonal equilibrium condition but
W Also the off-diagonal equilibrium condition, i.e. the first
derivatives of the binding energy with respect to a volume
change as well as shear deformations are zero. Accordingly,
the present method of calculation is based on a stable lattice
model. The results of the present calculation for the third
order elastic constants of Al are found to be in satisfactory
agreement with the experimental data of the complete set of*This work was supported by the U.S. Atomic Energy Commission under
Contract AT(ll-1)-1198, and the U.S. Air Force Office of Scientific
Research under Contract AF-OSR-803-65.
Present address: University of Missouri at Rolla, Rolla, Missouri.p46^29
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Suzuki, T. Second- and Third-Order Elastic Constants of Aluminum and Lead., report, January 1, 1970; Urbana, Illinois. (https://digital.library.unt.edu/ark:/67531/metadc864696/m1/1/: accessed April 23, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.