Static and vibration analysis of functionally graded microplate with porosities based on higher-order shear deformation and modified strain gradient theory

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Authors

  • Van-Thien Tran Faculty of Civil Engineering, Ho Chi Minh City University of Technology an Education, 1 Vo Van Ngan street, Thu Duc City, Ho Chi Minh City, Vietnam
  • Van-Hau Nguyen Faculty of Civil Engineering, Ho Chi Minh City University of Technology an Education, 1 Vo Van Ngan street, Thu Duc City, Ho Chi Minh City, Vietnam https://orcid.org/0000-0003-4134-1533
  • Trung-Kien Nguyen CIRTech Institute, HUTECH University, 475A Dien Bien Phu street, Binh Thanh district, Ho Chi Minh City, Vietnam https://orcid.org/0000-0002-1215-9348
  • Thuc P. Vo School of Computing, Engineering and Mathematical Sciences, La Trobe University, Bundoora, VIC 3086, Australia https://orcid.org/0000-0002-7137-4507

DOI:

https://doi.org/10.15625/0866-7136/17552

Keywords:

bending, vibration, functionally graded microplates, porosity, modified strain gradient theory, higher-order shear deformation theory

Abstract

Based on fundamental equations of the elasticity theory, a unified higher-order shear deformation theory is developed for bending and free vibration analysis of functionally graded (FG) microplates with porosities. The modified strain gradient theory is employed to capture the size effects. Bi-directional series with hybrid shape functions are used to solve the problems. Several important effects including thickness-to-material length scale parameters, side-to-thickness ratio, and boundary conditions on the deflections and natural frequencies of FG porous microplates are investigated.

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Published

01-03-2023

How to Cite

[1]
V.-T. Tran, V.-H. Nguyen, T.-K. Nguyen and T. P. Vo, Static and vibration analysis of functionally graded microplate with porosities based on higher-order shear deformation and modified strain gradient theory, Vietnam J. Mech. 45 (2023) 36–59. DOI: https://doi.org/10.15625/0866-7136/17552.

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