Bending, free vibration, and buckling of modified couples stress-based functionally graded porous micro-plates
Source abstract
Abstract
Abstract In this study, bending, free vibration, and buckling response of functionally graded porous micro-plates are investigated using the classical and first-order shear deformation plate theories. The Navier solution technique is utilized to obtain analytical solutions to simply supported rectangular plates. A power-law distribution is used to model the variation of two material constituents through the plate thickness. Three different porosity distributions are considered and assumed to take forms of cosine functions. The microstructure-dependent size effects are captured using the modified couple stress theory. Numerical results of bending, free vibration, and buckling are presented to determined the effects of constituent material variation, microstructure-dependent size effects, and porosity distributions on the mechanical response of functionally graded porous micro-plates.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Nonlocal and gradient elasticity in micro/nano structures · Composite Structure Analysis and Optimization · Thermoelastic and Magnetoelastic Phenomena
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (31)
Show source-provided references
1. Nonlinear theories of axisymmetric bending of functionally graded circular plates with modified couple stress10.1016/j.compstruct.2012.04.019 ↗
2. Bending, buckling and vibration of size-dependent functionally graded annular microplates10.1016/j.compstruct.2012.04.037 ↗
3. Analytical solutions for bending, vibration, and buckling of fgm plates using a couple stress-based third-order theory10.1016/j.compstruct.2013.03.007 ↗
4. A modified couple stress theory for buckling analysis of s-fgm nanoplates embedded in Pasternak elastic medium10.1016/j.compositesb.2013.12.058 ↗
5. Nonlinear vibrations of functionally graded Mindlin microplates based on the modified couple stress theory10.1016/j.compstruct.2014.04.013 ↗
6. Buckling analysis of higher order graded smart piezoelectric plates with porosities resting on elastic foundation10.1016/j.ijmecsci.2016.09.012 ↗
7. Free vibration analysis of FGM nanoplate with porosities resting on Winkler-Pasternak elastic foundations based on two-variable refined plate theories10.1007/s40430-015-0482-6 ↗
8. Micro temperature-dependent FG porous plate: free vibration and thermal buckling analysis using modified couple stress theory with CPT and FSDT10.1016/j.apm.2017.06.022 ↗
9. Vibration analysis of porous functionally graded nanoplates10.1016/j.ijengsci.2017.06.008 ↗
10. Large-amplitude vibration of sigmoid functionally graded thin plates with porosities10.1016/j.tws.2017.08.012 ↗
11. Natural frequencies of functionally graded plates with porosities via a simple four variable plate theory: an analytical approach10.1016/j.tws.2017.08.003 ↗
12. Vibrations of longitudinally traveling functionally graded material plates with porosities10.1016/j.euromechsol.2017.06.006 ↗
13. Vibration behaviors of functionally graded rectangular plates with porosities and moving in thermal environment10.1016/j.ast.2017.07.023 ↗
14. Investigating dynamic characteristics of porous double-layered FG nanoplates in elastic medium via generalized nonlocal strain gradient elasticity
15. Nonlocal microstructure-dependent dynamic stability of refined porous FG nanoplates in hygro-thermal environments
16. Nonlinear vibrations of moving functionally graded plates containing porosities and contacting with liquid: internal resonance10.1007/s11071-017-3739-z ↗
17. A quasi-3d refined theory for functionally graded single-layered and sandwich plates with porosities10.1016/j.compstruct.2018.05.147 ↗
18. Nonlinear thermomechanical buckling and post-buckling response of porous FGM plates using Reddy’s HSDT10.1016/j.ast.2018.03.020 ↗
19. A novel quasi-3d hyperbolic theory for free vibration of FG plates with porosities resting on Winkler/Pasternak/Kerr foundation10.1016/j.ast.2017.11.004 ↗
20. Nonlinear free vibration of functionally graded graphene platelets reinforced porous nanocomposite plates resting on elastic foundation10.1016/j.compstruct.2018.08.013 ↗
21. Elastic buckling and free vibration analyses of porous-cellular plates with uniform and non-uniform porosity distributions10.1016/j.ast.2018.06.010 ↗
22. A study on the vibrational properties of weight-efficient plates made of material with functionally graded porosity10.1016/j.compstruct.2018.05.099 ↗
23. Isogeometric analysis of functionally graded porous plates reinforced by graphene platelets10.1016/j.compstruct.2018.07.059 ↗
24. Buckling and free vibration analyses of functionally graded graphene reinforced porous nanocomposite plates based on Chebyshev-Ritz method10.1016/j.compstruct.2018.03.090 ↗
25. Nonlocal strain gradient plate model for nonlinear large-amplitude vibrations of functionally graded porous micro/nano-plates reinforced with GPLs10.1016/j.compstruct.2018.05.031 ↗
26. Reddy · 2004
27. Couple stress based strain gradient theory for elasticity10.1016/S0020-7683(02)00152-X ↗
28. A non-classical Mindlin plate model based on a modified couple stress10.1007/s00707-011-0480-4 ↗
29. Microstructure-dependent couple stress theories of functionally graded beams10.1016/j.jmps.2011.06.008 ↗
30. Reddy · 2018
31. A nonlinear modified couple stress-based third-order theory of functionally graded plates10.1016/j.compstruct.2011.10.006 ↗