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Thermal post-bunkling analyses of functionally graded material rod

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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.

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Authors and Affiliations

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

    Zhao Feng-qun  (赵凤群) (Professor) & Wang Zhong-min  (王忠民)

  2. School of Mechanical and Instrument Engineering, Xi’an University of Technology, Xi’an, 710048, P. R. China

    Zhao Feng-qun  (赵凤群) (Professor) & Liu Hong-zhao  (刘宏昭)

Authors
  1. Zhao Feng-qun  (赵凤群)
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  2. Wang Zhong-min  (王忠民)
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  3. Liu Hong-zhao  (刘宏昭)
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Corresponding author

Correspondence to Zhao Feng-qun  (赵凤群).

Additional information

Communicated by SHEN Hui-shen

Project supported by the National Natural Science Foundation of China (No.50575180) and the Natural Science Foundation of Shaanxi Province of China (No.2005A18)

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Zhao, Fq., Wang, Zm. & Liu, Hz. Thermal post-bunkling analyses of functionally graded material rod. Appl Math Mech 28, 59–67 (2007). https://doi.org/10.1007/s10483-007-0107-z

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  • DOI: https://doi.org/10.1007/s10483-007-0107-z

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Chinese Library Classification

2000 Mathematics Subject Classification

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