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Porosity-dependent nonlinear transient responses of functionally graded nanoplates using isogeometric analysis

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Abstract
The study using numerical methods on porous functionally graded (FG) nanoplates is still somewhat limited. This paper focuses on porosity-dependent nonlinear transient analysis of FG nanoplates using isogeometric finite element approach. In order to capture the small size effects, the Eringen's nonlocal elasticity based on higher order shear deformation theory (HSDT) are used to model the porous FG nanoplates. Two distributions of porosities inside FG materials are incorporated and defined via a modified rule of mixture. The nonlinear transient nonlocal governing equations under transverse dynamic loads are formulated by using the von Karman strains and are solved by Newmark time integration scheme to obtain geometrically nonlinear responses. It is indicated that nonlinear transient deflections of the porous FG nanoplate are significantly influenced by material composition, porosity, nonlocal parameters, volume fraction exponent, porosity distributions, geometrical parameters and dynamic load characteristics.
Keywords
Mechanical Engineering, Industrial and Manufacturing Engineering, Mechanics of Materials, Ceramics and Composites

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MLA
Phung Van, Phuc, et al. “Porosity-Dependent Nonlinear Transient Responses of Functionally Graded Nanoplates Using Isogeometric Analysis.” COMPOSITES PART B-ENGINEERING, vol. 164, 2019, pp. 215–25.
APA
Phung Van, P., Thai, C. H., Nguyen-Xuan, H., & Abdel Wahab, M. (2019). Porosity-dependent nonlinear transient responses of functionally graded nanoplates using isogeometric analysis. COMPOSITES PART B-ENGINEERING, 164, 215–225.
Chicago author-date
Phung Van, Phuc, Chien H. Thai, H. Nguyen-Xuan, and Magd Abdel Wahab. 2019. “Porosity-Dependent Nonlinear Transient Responses of Functionally Graded Nanoplates Using Isogeometric Analysis.” COMPOSITES PART B-ENGINEERING 164: 215–25.
Chicago author-date (all authors)
Phung Van, Phuc, Chien H. Thai, H. Nguyen-Xuan, and Magd Abdel Wahab. 2019. “Porosity-Dependent Nonlinear Transient Responses of Functionally Graded Nanoplates Using Isogeometric Analysis.” COMPOSITES PART B-ENGINEERING 164: 215–225.
Vancouver
1.
Phung Van P, Thai CH, Nguyen-Xuan H, Abdel Wahab M. Porosity-dependent nonlinear transient responses of functionally graded nanoplates using isogeometric analysis. COMPOSITES PART B-ENGINEERING. 2019;164:215–25.
IEEE
[1]
P. Phung Van, C. H. Thai, H. Nguyen-Xuan, and M. Abdel Wahab, “Porosity-dependent nonlinear transient responses of functionally graded nanoplates using isogeometric analysis,” COMPOSITES PART B-ENGINEERING, vol. 164, pp. 215–225, 2019.
@article{8582576,
  abstract     = {The study using numerical methods on porous functionally graded (FG) nanoplates is still somewhat limited. This paper focuses on porosity-dependent nonlinear transient analysis of FG nanoplates using isogeometric finite element approach. In order to capture the small size effects, the Eringen's nonlocal elasticity based on higher order shear deformation theory (HSDT) are used to model the porous FG nanoplates. Two distributions of porosities inside FG materials are incorporated and defined via a modified rule of mixture. The nonlinear transient nonlocal governing equations under transverse dynamic loads are formulated by using the von Karman strains and are solved by Newmark time integration scheme to obtain geometrically nonlinear responses. It is indicated that nonlinear transient deflections of the porous FG nanoplate are significantly influenced by material composition, porosity, nonlocal parameters, volume fraction exponent, porosity distributions, geometrical parameters and dynamic load characteristics.},
  author       = {Phung Van, Phuc and Thai, Chien H. and Nguyen-Xuan, H. and Abdel Wahab, Magd},
  issn         = {1359-8368},
  journal      = {COMPOSITES PART B-ENGINEERING},
  keywords     = {Mechanical Engineering,Industrial and Manufacturing Engineering,Mechanics of Materials,Ceramics and Composites},
  language     = {eng},
  pages        = {215--225},
  title        = {Porosity-dependent nonlinear transient responses of functionally graded nanoplates using isogeometric analysis},
  url          = {http://dx.doi.org/10.1016/j.compositesb.2018.11.036},
  volume       = {164},
  year         = {2019},
}

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