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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.

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