Thermal Post-buckling Analyses of Functionally Graded Material Rod

ZHAO Feng-qun; WANG Zhong-min; LIU Hong-zhao

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ZHAO Feng-qun, WANG Zhong-min, LIU Hong-zhao. Thermal Post-buckling Analyses of Functionally Graded Material Rod[J]. Applied Mathematics and Mechanics, 2007, 28(1): 53-60.

Citation:

ZHAO Feng-qun, WANG Zhong-min, LIU Hong-zhao. Thermal Post-buckling Analyses of Functionally Graded Material Rod[J]. Applied Mathematics and Mechanics, 2007, 28(1): 53-60.

Citation:

ZHAO Feng-qun, WANG Zhong-min, LIU Hong-zhao. Thermal Post-buckling Analyses of Functionally Graded Material Rod[J]. Applied Mathematics and Mechanics, 2007, 28(1): 53-60.

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Thermal Post-buckling Analyses of Functionally Graded Material Rod

1.
School of Science, Xi'an University of Technology, Xi'an 710048, P. R. China;

Received Date: 2005-11-03
Rev Recd Date: 2006-10-13
Publish Date: 2007-01-15

Abstract

Abstract

The non-linear governing differential equations of immovably simply supported functionally graded material (FGM) rod subjected to thermal loads were derived. The thermal post-buckling behaviors of FGM rod made of ZrO₂ and Ti-6A1-4V were analyzed by shooting method. Firstly, the thermal post-buckling equilibrium paths of the FGM rod with different gradient index in the uniform temperature field were plotted, and compared with the behaviors of the homogeneous rods made of ZrO₂ and Ti-6A1-4V materials respectively. For given value of end rotation angles, the influence of gradient index on the thermal post-buckling behaviors of FGM rod was discussed. Secondly, the thermal post-buckling characteristics of the FGM rod were analyzed when the temperature difference parameter is changing while the bottom temperature parameter remains constant, and when the bottom temperature parameter is changing while the temperature difference parameter remains constant, and compared with the characteristics of the two homogeneous material rods.
- functionally graded material rod,
- thermal post-buckling,
- shooting method

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References(15)

References

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