D. S. Mashat / Natural Science 2 (2010) 1312-1317

Copyright © 2010 SciRes. OPEN ACCESS

1317

ure 2 shows the displacement distribution through the

radial direction of the FGM cylinder. It is seen that the

displacement decreases dramatically within a very small

range of radial direction at first, and then it increases

gradually to a local higher value. Once again, it de-

creases gradually to a minimum value near the outer

surface. The displacement u decreases as *

increases.

The distribution of radial stress

through the radial

direction of the FGM cylinder is plotted in Figure 3 for

different values of *

. It is seen that

decreases

dramatically within a very small range of radial direction

at first, and then it decreases gradually to its minimum

value at the ceramic outer surface of the cylinder. Also,

decreases as *

increases.

The effects of the heat source intensity coefficient

on the temperature, displacement and stress at fixed time

parameter *3.84

are plotted in Figures 4-6. Figure

4 shows that for different

, the change tendencies of

temperature appear in same obviously. The temperature

increases as

decreases. Figures 5 and 6 show that

the higher values of heat source intensity coefficient

have only a little effect on u and

. It is seen that the

radial displacement and radial stress under larger

are evidently different from that under small

.

6. CONCLUSIONS

The main contribution in this paper is to describe the

effects of time parameter and heat source intensity of

exponentially graded material cylinder on temperature,

displacement and stresses. The results are very sensitive

to the change of time and heat source through the radial

direction of the cylinder. The solution method in this

article may be used as a useful reference to investigate

the temperature, radial displacement, radial and circum-

ferential stresses, and electromagnetic stress in the cyl-

inder. The results carried out can be used to predict the

electro-magneto-thermoelastic response at different

times and for different heat source intensities according

to the engineering requirements.

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