Nonlocal strain gradient IGA numerical solution for static bending, free vibration and buckling of sigmoid FG sandwich nanoplate
- Author
- Thanh Cuong Le, Khuong Duy Nguyen, Minh Hoang Le, Thanh Sang To, Phuong Phan-Vu and Magd Abdel Wahab (UGent)
- Organization
- Abstract
- For the first time, a numerical isogeometric numerical solution based on the nonlocal strain gradient elasticity theory for static bending, free vibration, and buckling of sigmoid functionally graded (S-FG) nanoplate is presented. Two configurations of S-FG sandwich material, including isotropic core and FG core, are considered. A parameter is proposed to define the location of the neutral axis through the cross-section. The simple ReissnerMindlin plate theory, the nonlocal strain gradient theory, and Hamilton's principle are employed to establish the general equilibrium of S-FG nanoplate that contains two small size coefficients, including nonlocal and strain gradient parameters. The static bending, free vibration, and buckling responses of S-FG nanoplate are explored using isogeometric analysis with a NURBS basic function. The accuracy of the presented model is verified through the comparison with other solutions for nanoplate. As a result of numerical investigation studies, the static bending, free vibration, and buckling responses of S-FG are significantly affected by the material variation along the thickness direction, the neutral axis location, nonlocal parameter, strain gradient parameter, and material index.
- Keywords
- Electrical and Electronic Engineering, Condensed Matter Physics, Electronic, Optical and Magnetic Materials, Nonlocal strain gradient, Isogeometric analysis, Sigmoid FG sandwich nanoplate, Static bending, Frequency, Buckling, SIZE-DEPENDENT ANALYSIS, ISOGEOMETRIC ANALYSIS, MECHANICAL-BEHAVIOR, SURFACE, PLATES, MODEL, ELASTICITY, STABILITY
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8739829
- MLA
- Le, Thanh Cuong, et al. “Nonlocal Strain Gradient IGA Numerical Solution for Static Bending, Free Vibration and Buckling of Sigmoid FG Sandwich Nanoplate.” PHYSICA B-CONDENSED MATTER, vol. 631, 2022, doi:10.1016/j.physb.2022.413726.
- APA
- Le, T. C., Nguyen, K. D., Le, M. H., To, T. S., Phan-Vu, P., & Abdel Wahab, M. (2022). Nonlocal strain gradient IGA numerical solution for static bending, free vibration and buckling of sigmoid FG sandwich nanoplate. PHYSICA B-CONDENSED MATTER, 631. https://doi.org/10.1016/j.physb.2022.413726
- Chicago author-date
- Le, Thanh Cuong, Khuong Duy Nguyen, Minh Hoang Le, Thanh Sang To, Phuong Phan-Vu, and Magd Abdel Wahab. 2022. “Nonlocal Strain Gradient IGA Numerical Solution for Static Bending, Free Vibration and Buckling of Sigmoid FG Sandwich Nanoplate.” PHYSICA B-CONDENSED MATTER 631. https://doi.org/10.1016/j.physb.2022.413726.
- Chicago author-date (all authors)
- Le, Thanh Cuong, Khuong Duy Nguyen, Minh Hoang Le, Thanh Sang To, Phuong Phan-Vu, and Magd Abdel Wahab. 2022. “Nonlocal Strain Gradient IGA Numerical Solution for Static Bending, Free Vibration and Buckling of Sigmoid FG Sandwich Nanoplate.” PHYSICA B-CONDENSED MATTER 631. doi:10.1016/j.physb.2022.413726.
- Vancouver
- 1.Le TC, Nguyen KD, Le MH, To TS, Phan-Vu P, Abdel Wahab M. Nonlocal strain gradient IGA numerical solution for static bending, free vibration and buckling of sigmoid FG sandwich nanoplate. PHYSICA B-CONDENSED MATTER. 2022;631.
- IEEE
- [1]T. C. Le, K. D. Nguyen, M. H. Le, T. S. To, P. Phan-Vu, and M. Abdel Wahab, “Nonlocal strain gradient IGA numerical solution for static bending, free vibration and buckling of sigmoid FG sandwich nanoplate,” PHYSICA B-CONDENSED MATTER, vol. 631, 2022.
@article{8739829,
abstract = {{For the first time, a numerical isogeometric numerical solution based on the nonlocal strain gradient elasticity theory for static bending, free vibration, and buckling of sigmoid functionally graded (S-FG) nanoplate is presented. Two configurations of S-FG sandwich material, including isotropic core and FG core, are considered. A parameter is proposed to define the location of the neutral axis through the cross-section. The simple ReissnerMindlin plate theory, the nonlocal strain gradient theory, and Hamilton's principle are employed to establish the general equilibrium of S-FG nanoplate that contains two small size coefficients, including nonlocal and strain gradient parameters. The static bending, free vibration, and buckling responses of S-FG nanoplate are explored using isogeometric analysis with a NURBS basic function. The accuracy of the presented model is verified through the comparison with other solutions for nanoplate. As a result of numerical investigation studies, the static bending, free vibration, and buckling responses of S-FG are significantly affected by the material variation along the thickness direction, the neutral axis location, nonlocal parameter, strain gradient parameter, and material index.}},
articleno = {{413726}},
author = {{Le, Thanh Cuong and Nguyen, Khuong Duy and Le, Minh Hoang and To, Thanh Sang and Phan-Vu, Phuong and Abdel Wahab, Magd}},
issn = {{0921-4526}},
journal = {{PHYSICA B-CONDENSED MATTER}},
keywords = {{Electrical and Electronic Engineering,Condensed Matter Physics,Electronic,Optical and Magnetic Materials,Nonlocal strain gradient,Isogeometric analysis,Sigmoid FG sandwich nanoplate,Static bending,Frequency,Buckling,SIZE-DEPENDENT ANALYSIS,ISOGEOMETRIC ANALYSIS,MECHANICAL-BEHAVIOR,SURFACE,PLATES,MODEL,ELASTICITY,STABILITY}},
language = {{eng}},
pages = {{14}},
title = {{Nonlocal strain gradient IGA numerical solution for static bending, free vibration and buckling of sigmoid FG sandwich nanoplate}},
url = {{http://doi.org/10.1016/j.physb.2022.413726}},
volume = {{631}},
year = {{2022}},
}
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