Applied Mathematics and Mechanics (English Edition) ›› 2024, Vol. 45 ›› Issue (12): 2075-2092.doi: https://doi.org/10.1007/s10483-024-3196-7

• Articles • Previous Articles     Next Articles

Size-dependent vibration and buckling of porous functionally graded microplates based on modified couple stress theory in thermal environments by considering a dual power-law distribution of scale effects

Feixiang TANG1, Shaonan SHI1, Siyu HE2, Fang DONG3, Sheng LIU1,2,3,*()   

  1. 1 Key Laboratory of Transients in Hydraulic Machinery, Ministry of Education, School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, China
    2 China-EU Institute for Clean and Renewable Energy, Huazhong University of Science & Technology, Wuhan 430074, China
    3 The Institute of Technological Sciences, Wuhan University, Wuhan 430072, China
  • Received:2024-08-05 Online:2024-12-01 Published:2024-11-30
  • Contact: Sheng LIU E-mail:shengliu@whu.edu.cn
  • Supported by:
    the National Key Research and Development Program of China(2022YFB3207100);Hubei Provincial Strategic Scientist Training Plan(2022EJD009);the Fundamental Research Funds for the Central Universities of China(2042023kf1041);Project supported by the National Key Research and Development Program of China (No. 2022YFB3207100), Hubei Provincial Strategic Scientist Training Plan (No. 2022EJD009), and the Fundamental Research Funds for the Central Universities of China (No. 2042023kf1041)

Abstract:

In this study, the thermodynamic behaviors of the intrinsic frequency and buckling temperature of rectangular plates of functionally graded materials (FGMs) are explored based on the modified couple stress theory (MCST) and the novel dual power-law scale distribution theory. The effects of linear, homogeneous, and non-homogeneous temperature fields on the frequency and buckling temperature of FGM microplates are evaluated in detail. The results show that the porosity greatly affects the mechanical properties of FGM plates, reducing their frequency and flexural temperature compared with non-porous plates. Different temperature profiles alter plate frequencies and buckling temperatures. The presence and pattern of scale effect parameters are also shown to be crucial for the mechanical response of FGM plates. The present research aims to provide precise guidelines for the micro-electro-mechanical system (MEMS) fabrication by elucidating the complex interplay between thermal, material, and structural factors that affect the performance of FGM plates in advanced applications.

Key words: thermal vibration, dual power law, functionally graded material (FGM), pore distribution, scale effect, scale distribution, thermal buckling

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals