Advances in nano research

  • 제12권5호
  • /
  • Pages.441-455
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  • 2022
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  • 2287-237X(pISSN)
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  • 2287-2388(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Nonlinear bending analysis of porous sigmoid FGM nanoplate via IGA and nonlocal strain gradient theory

  • Cuong-Le, Thanh (Faculty of Civil Engineering, Ho Chi Minh City Open University) ;
  • Nguyen, Khuong D. (Department of Engineering Mechanics, Faculty of Applied Science, Ho Chi Minh City University of Technology (HCMUT)) ;
  • Le-Minh, Hoang (Faculty of Civil Engineering, Ho Chi Minh City Open University) ;
  • Phan-Vu, Phuong (Faculty of Civil Engineering, Ho Chi Minh City Open University) ;
  • Nguyen-Trong, Phuoc (Faculty of Civil Engineering, Ho Chi Minh City Open University) ;
  • Tounsi, Abdelouahed (YFL (Yonsei Frontier Lab), Yonsei University)
  • 투고 : 2021.09.26
  • 심사 : 2022.02.04
  • 발행 : 2022.05.25
⟨ 이전 논문 다음 논문 ⟩

초록

This study explores the linear and nonlinear solutions of sigmoid functionally graded material (S-FGM) nanoplate with porous effects. A size-dependent numerical solution is established using the strain gradient theory and isogeometric finite element formulation. The nonlinear nonlocal strain gradient is developed based on the Reissner-Mindlin plate theory and the Von-Karman strain assumption. The sigmoid function is utilized to modify the classical functionally graded material to ensure the constituent volume distribution. Two different patterns of porosity distribution are investigated, viz. pattern A and pattern B, in which the porosities are symmetric and asymmetric varied across the plate's thickness, respectively. The nonlinear finite element governing equations are established for bending analysis of S-FGM nanoplates, and the Newton-Raphson iteration technique is derived from the nonlinear responses. The isogeometric finite element method is the most suitable numerical method because it can satisfy a higher-order derivative requirement of the nonlocal strain gradient theory. Several numerical results are presented to investigate the influences of porosity distributions, power indexes, aspect ratios, nonlocal and strain gradient parameters on the porous S-FGM nanoplate's linear and nonlinear bending responses.

키워드

과제정보

This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 107.02-2020.27.

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