K. Wang et Rr. Reeber, A MODEL FOR EVALUATING AND PREDICTING HIGH-TEMPERATURE THERMAL-EXPANSION, Journal of materials research, 11(7), 1996, pp. 1800-1803
In this paper, a new set of experimental data, alpha(V)K(T)V, represen
ting the partial temperature derivative of the work done by the therma
l pressure of the solid, is fitted by ii terms of a modified Einstein
model. Experimental data show that alpha(V)K(T)V, not alpha(V)K(T), ap
proaches a constant value at high temperature. Based on the observed l
inear relationship of isothermal bulk modulus with temperature at high
temperature, thermal expansion can be evaluated by fitting alpha(V)K(
T)V data. Our previous results have shown that at low temperature or f
ur materials with less variable bulk modulus and expansivity, ther-mal
expansion data can be simply approximated by an n term Einstein model
. More generally and for many materials, alpha(V)K(T)V data resemble a
n isochoric specific heat curve. With this method, thermal expansion c
an be predicted at high temperatures from low and intermediate tempera
ture range data. With accurate thermal expansion data, high temperatur
e bulk moduli can also be predicted.