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A geometrically nonlinear size-dependent hypothesis for porous functionally graded micro-plate

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Abstract
The static bending behavior of porous functionally graded (PFG) micro-plate under the geometrically nonlinear analysis is studied in this article. A small-scale nonlinear solution is established using the Von-Karman hypothesis and the modified couple stress theory (MCST). To obtain the deflection of the plate, the Reddy higher-order plate theory coupled with isogeometric analysis (IGA) is utilized. The distribution of porosities is assumed to be even and uneven across the plate's thickness and the effective material properties of porous functionally graded micro-plate are calculated using the refined rule-of-mixture hypothesis. The influence of power index, porosity parameter and material length scale parameter on the nonlinear behaviors of static bending of porous FGM micro-plates are also investigated using several numerical examples.
Keywords
General Engineering, Modelling and Simulation, Software, Computer Science Applications, Porous functionally graded, Modified couple stress theory, Isogeometric analysis, Length scale parameter, Nonlinear analysis, STRAIN GRADIENT THEORY, ISOGEOMETRIC ANALYSIS

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MLA
Le, Thanh Cuong, et al. “A Geometrically Nonlinear Size-Dependent Hypothesis for Porous Functionally Graded Micro-Plate.” ENGINEERING WITH COMPUTERS, 2020, doi:10.1007/s00366-020-01154-0.
APA
Le, T. C., Nguyen, T. N., Vu, H. T., Khatir, S., & Abdel Wahab, M. (2020). A geometrically nonlinear size-dependent hypothesis for porous functionally graded micro-plate. ENGINEERING WITH COMPUTERS. https://doi.org/10.1007/s00366-020-01154-0
Chicago author-date
Le, Thanh Cuong, Trong Nghia Nguyen, Huu Truong Vu, Samir Khatir, and Magd Abdel Wahab. 2020. “A Geometrically Nonlinear Size-Dependent Hypothesis for Porous Functionally Graded Micro-Plate.” ENGINEERING WITH COMPUTERS. https://doi.org/10.1007/s00366-020-01154-0.
Chicago author-date (all authors)
Le, Thanh Cuong, Trong Nghia Nguyen, Huu Truong Vu, Samir Khatir, and Magd Abdel Wahab. 2020. “A Geometrically Nonlinear Size-Dependent Hypothesis for Porous Functionally Graded Micro-Plate.” ENGINEERING WITH COMPUTERS. doi:10.1007/s00366-020-01154-0.
Vancouver
1.
Le TC, Nguyen TN, Vu HT, Khatir S, Abdel Wahab M. A geometrically nonlinear size-dependent hypothesis for porous functionally graded micro-plate. ENGINEERING WITH COMPUTERS. 2020;
IEEE
[1]
T. C. Le, T. N. Nguyen, H. T. Vu, S. Khatir, and M. Abdel Wahab, “A geometrically nonlinear size-dependent hypothesis for porous functionally graded micro-plate,” ENGINEERING WITH COMPUTERS, 2020.
@article{8675581,
  abstract     = {{The static bending behavior of porous functionally graded (PFG) micro-plate under the geometrically nonlinear analysis is studied in this article. A small-scale nonlinear solution is established using the Von-Karman hypothesis and the modified couple stress theory (MCST). To obtain the deflection of the plate, the Reddy higher-order plate theory coupled with isogeometric analysis (IGA) is utilized. The distribution of porosities is assumed to be even and uneven across the plate's thickness and the effective material properties of porous functionally graded micro-plate are calculated using the refined rule-of-mixture hypothesis. The influence of power index, porosity parameter and material length scale parameter on the nonlinear behaviors of static bending of porous FGM micro-plates are also investigated using several numerical examples.}},
  author       = {{Le, Thanh Cuong and Nguyen, Trong Nghia and Vu, Huu Truong and Khatir, Samir and Abdel Wahab, Magd}},
  issn         = {{0177-0667}},
  journal      = {{ENGINEERING WITH COMPUTERS}},
  keywords     = {{General Engineering,Modelling and Simulation,Software,Computer Science Applications,Porous functionally graded,Modified couple stress theory,Isogeometric analysis,Length scale parameter,Nonlinear analysis,STRAIN GRADIENT THEORY,ISOGEOMETRIC ANALYSIS}},
  language     = {{eng}},
  title        = {{A geometrically nonlinear size-dependent hypothesis for porous functionally graded micro-plate}},
  url          = {{http://dx.doi.org/10.1007/s00366-020-01154-0}},
  year         = {{2020}},
}

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