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Applied Mathematics and Mechanics

, Volume 28, Issue 1, pp 59–67 | Cite as

Thermal post-bunkling analyses of functionally graded material rod

  • Zhao Feng-qun  (赵凤群)Email author
  • Wang Zhong-min  (王忠民)
  • Liu Hong-zhao  (刘宏昭)
Article

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 changed while the bottom temperature parameter remains constant, and when the bottom temperature parameter is changed while the temperature difference parameter remains constant, and compared with the characteristics of the two homogeneous material rods.

Key words

functionally graded material rods thermal post-buckling shooting method 

Chinese Library Classification

O343 

2000 Mathematics Subject Classification

74G16 

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Copyright information

© Editorial Committee of Appl. Math. Mech. 2007

Authors and Affiliations

  • Zhao Feng-qun  (赵凤群)
    • 1
    • 2
    Email author
  • Wang Zhong-min  (王忠民)
    • 1
  • Liu Hong-zhao  (刘宏昭)
    • 2
  1. 1.School of ScienceXi’an University of TechnologyXi’anP. R. China
  2. 2.School of Mechanical and Instrument EngineeringXi’an University of TechnologyXi’anP. R. China

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