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<strong>Arab</strong> <strong>Journal</strong> <strong>of</strong> <strong>Nuclear</strong> Science <strong>and</strong> <strong>Applications</strong>, 46(2), (107-114) 2013<br />
The rate <strong>of</strong> change <strong>of</strong> χp with irradiation dose (δ χp / δ D) is calculated from the slopes <strong>of</strong> fig.6<br />
<strong>and</strong> its dependence on the deformation temperature Tw is shown in fig 7. From this figure it is clear<br />
that (δ χp / δ D) decreases with increasing the deformation temperature.<br />
Work-Hardening Coefficient p (MPa) 2<br />
x 10<br />
1.8<br />
5<br />
1.6<br />
1.4<br />
1.2<br />
1.0<br />
0.8<br />
0.6<br />
0.4<br />
0.2<br />
S.R = 1.5x10 -3 S -1<br />
303K<br />
373K<br />
398K<br />
423K<br />
448K<br />
473K<br />
523K<br />
0 500 1000 1500 2000 2500<br />
Dose D (kGy)<br />
( p / D ) (MPa 2 /kGy)<br />
771<br />
40<br />
38<br />
36<br />
34<br />
32<br />
30<br />
28<br />
26<br />
24<br />
S.R = 1.5x10 -3 S -1<br />
22<br />
350 400 450 500 550<br />
Deformation Temperature T (K) w<br />
Fig. (6): Irradiation dose dependence <strong>of</strong> Fig. (7): Dependence <strong>of</strong> the rate <strong>of</strong> change<br />
the work-hardening coefficient χp <strong>of</strong> χp with irradiation dose on the<br />
for Al-5356 alloy specimens tested deformation temperature Tw.<br />
at different deformation temperatures.<br />
(b) The Activation Energy (Q)<br />
The energy activating the deformation process may be evaluated from the variation <strong>of</strong> the yield<br />
stress σy as related to the deformation temperature Tw through the kinetic rate equation (19) :<br />
σy = k [ε˙ exp (Q/RT)] m ( 1 )<br />
where k is a material constant, ε˙ is the strain rate, R is the universal gas constant <strong>and</strong> m is the<br />
strain rate sensitivity index. To estimate the value <strong>of</strong> the activation energy Q for the deformation<br />
process, the st<strong>and</strong>ard Arrhenious plot <strong>of</strong> ln σy versus 1000/T is to be constructed as shown in fig. 8.<br />
From the slopes <strong>of</strong> the obtained straight lines, the mean value <strong>of</strong> the activation energy Q was found 80<br />
kJ/mole independent on the irradiation dose which is in accordance with that obtained in similar work<br />
by Peng Yong-yi (20) .<br />
ln y<br />
4.5<br />
4.4<br />
4.3<br />
4.2<br />
4.1<br />
4.0<br />
3.9<br />
S.R = 1.5x10 -3 S -1<br />
2000 kGy<br />
1000 kGy<br />
500 kGy<br />
unirradiated<br />
3.8<br />
1.8 2.0 2.2 2.4 2.6 2.8 3.0<br />
1000/T K -1<br />
Fig. (8): Arrhenius plot <strong>of</strong> lnσy vs. 1000/T for Al-5356 alloy.