Semiempirical models for description of shear modulus in wide ranges of temperatures and pressures of shock compression

Equation of state of Mo from shock compression experiments on preheated samples

“…Finally, the maximum difference between the cðVÞ reported by El'kin et al 36 and our predictions over the intended valid range of our model (0:74 ! V=V 0 !…”

“…3. Comparison of our cðVÞ model with other reported empirical, 3,36 semi-empirical, 5 and analytical models 32,43 for shock-compressed Mo. The upper and lower limits of Al'tshuler et al's Gr€ uneisen function correspond to Al'tshuler-2 (tabular data) and Al'tshuler-1 (formula) cðVÞ models, 5 respectively.…”

“…This level of discrepancy apparently does not exceed the level of uncertainty of experimental Gr€ uneisen values discussed here. Comparison of our model values with an unweighted average of 3 reported functions for the maximum likelihood experimental data 3,5,36 indicates that the difference never exceeds our 1r uncertainty at any volume compression range shown in Figure 3.…”

“…[40][41][42] Only three sets of cðTÞ data are shown in Figure 4 as reported. [37][38][39] All other cðTÞ curves or discrete data points were recalculated from the reported K s ðTÞ experimental values [40][41][42] or cðVÞ models 3,5,6,36,43,44 using the same aðTÞ [26][27][28] and C p ðTÞ [28][29][30] functions that we applied in constructing our Mo EOS. FIG.…”

Microstructure and temperature dependence of the microhardness of W–4V–1La2O3 and W–4Ti–1La2O3

“…The shear modulus values for W as a function of temperature were obtained from the results reported in Ref. [14].…”