Open AccessA THEORETICAL METHOD TO OBTAIN THE SECOND ORDER PARTIAL DERIVATIVE OF SHEAR MODU LUS WITH RESPECT TO PRESSURE
Author(s) -
Hua Jing-Song,
Jin Fu-Qian,
Hua Tan
Publication year - 2000
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.49.2443
Subject(s) - shear modulus , order (exchange) , bulk modulus , materials science , shear (geology) , derivative (finance) , tungsten , alloy , crystal structure , physics , thermodynamics , condensed matter physics , crystallography , chemistry , composite material , metallurgy , finance , financial economics , economics
This article deduced a theoretical method to obtain the second order partial der ivatice of shear modulus with respect to pressure G″P from the theor y of electron structure for crystal materials.We obtained G″P0=-0.033GPa-1 for 93 tungsten alloy,and applied this result in the fini te strain theory of Birch-Murnaghan,when comparing the calculated results of G″ P0=-0.033GPa-1 with the results of G″P=0, we find the results of G″P=0 are greater than that of the results o f G″P≠0.The difference between them becomes greater when the pressu re increases. Therefore,we can conclude that G″P cannot be neglected at high pressures.