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An isogeometric approach of static and free vibration analyses for porous FG nanoplates

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Abstract
This paper presents porosity-dependent analysis of functionally graded nanoplates, which are made of two kinds of porous materials, based on isogeometric approach for the first time. Material properties of the nanoplates are described by using a modified power-law function. The Eringen's nonlocal elasticity is used to capture the size effects. Using the Hamilton's principle, the governing equations of the porous FG nanoplates using the higher order shear deformation theory are derived. The obtained results demonstrate the significance effect of nonlocal parameter, material composition, porosity factor, porosity distributions, volume fraction exponent and geometrical parameters on static and free vibration analyses of nanoplates.
Keywords
Mechanical Engineering, General Physics and Astronomy, General Materials Science, Mechanics of Materials, Porosities, Nonlocal theory, Isogeometric analysis (IGA), Porous functionally graded nanoplates, Higher order shear deformation theory, COMPUTATIONAL APPROACH, PLATES, FORMULATION

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MLA
Phung Van, Phuc, et al. “An Isogeometric Approach of Static and Free Vibration Analyses for Porous FG Nanoplates.” EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, vol. 78, 2019, doi:10.1016/j.euromechsol.2019.103851.
APA
Phung Van, P., Thai, C. H., Nguyen-Xuan, H., & Abdel Wahab, M. (2019). An isogeometric approach of static and free vibration analyses for porous FG nanoplates. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 78. https://doi.org/10.1016/j.euromechsol.2019.103851
Chicago author-date
Phung Van, Phuc, Chien H. Thai, H. Nguyen-Xuan, and Magd Abdel Wahab. 2019. “An Isogeometric Approach of Static and Free Vibration Analyses for Porous FG Nanoplates.” EUROPEAN JOURNAL OF MECHANICS A-SOLIDS 78. https://doi.org/10.1016/j.euromechsol.2019.103851.
Chicago author-date (all authors)
Phung Van, Phuc, Chien H. Thai, H. Nguyen-Xuan, and Magd Abdel Wahab. 2019. “An Isogeometric Approach of Static and Free Vibration Analyses for Porous FG Nanoplates.” EUROPEAN JOURNAL OF MECHANICS A-SOLIDS 78. doi:10.1016/j.euromechsol.2019.103851.
Vancouver
1.
Phung Van P, Thai CH, Nguyen-Xuan H, Abdel Wahab M. An isogeometric approach of static and free vibration analyses for porous FG nanoplates. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS. 2019;78.
IEEE
[1]
P. Phung Van, C. H. Thai, H. Nguyen-Xuan, and M. Abdel Wahab, “An isogeometric approach of static and free vibration analyses for porous FG nanoplates,” EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, vol. 78, 2019.
@article{8630903,
  abstract     = {{This paper presents porosity-dependent analysis of functionally graded nanoplates, which are made of two kinds of porous materials, based on isogeometric approach for the first time. Material properties of the nanoplates are described by using a modified power-law function. The Eringen's nonlocal elasticity is used to capture the size effects. Using the Hamilton's principle, the governing equations of the porous FG nanoplates using the higher order shear deformation theory are derived. The obtained results demonstrate the significance effect of nonlocal parameter, material composition, porosity factor, porosity distributions, volume fraction exponent and geometrical parameters on static and free vibration analyses of nanoplates.}},
  articleno    = {{103851}},
  author       = {{Phung Van, Phuc and Thai, Chien H. and Nguyen-Xuan, H. and Abdel Wahab, Magd}},
  issn         = {{0997-7538}},
  journal      = {{EUROPEAN JOURNAL OF MECHANICS A-SOLIDS}},
  keywords     = {{Mechanical Engineering,General Physics and Astronomy,General Materials Science,Mechanics of Materials,Porosities,Nonlocal theory,Isogeometric analysis (IGA),Porous functionally graded nanoplates,Higher order shear deformation theory,COMPUTATIONAL APPROACH,PLATES,FORMULATION}},
  language     = {{eng}},
  title        = {{An isogeometric approach of static and free vibration analyses for porous FG nanoplates}},
  url          = {{http://doi.org/10.1016/j.euromechsol.2019.103851}},
  volume       = {{78}},
  year         = {{2019}},
}

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