Analysis of porous micro-plates reinforced with FG-GNPs based on Reddy plate theory
Source abstract
Abstract
Abstract The present paper studies size-dependent deflection analysis of FG graphene nanoplatelets (GNPs) reinforced composite micro-plates with porosity subjected to transverse load. Third-order shear deformation (TOSD) theory of Reddy’s and principle of virtual work are employed for derivation of governing equations of static bending via modified couple stress theory (CST). Various models of distribution of porosity and GNPs are employed in our analysis. Halpin-Tsai micromechanical model and rule of mixture is used for effective material. After derivation of governing equations and presentation of solution procedure, the numerical results are presented in terms of significant input parameters. The numerical outputs including displacements and stress components are presented in terms of porosity coefficient, distribution of porosity, distribution and amount of GNPs and various dimensionless geometric parameters of the composite micro-plate. A comprehensive comparison with previous works have been performed for validation of the present formulation and corresponding numerical results.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Nonlocal and gradient elasticity in micro/nano structures · Numerical methods in engineering
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (41)
Show source-provided references
1. Nonlocal bending analysis of curved nanobeams reinforced by graphene nanoplatelets10.1016/j.compositesb.2018.11.092 ↗
2. Free vibrations of functionally graded polymer composite nanoplates reinforced with graphene nanoplatelets10.1016/j.ast.2018.07.036 ↗
3. 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 ↗
4. Buckling and free vibration analyses of functionally graded graphene reinforced porous nanocomposite plates based on Chebyshev-Ritz method10.1016/j.compstruct.2018.03.090 ↗
5. Free vibration and elastic buckling of functionally graded porous beams reinforced by graphene platelets10.1016/j.matdes.2016.12.061 ↗
6. Vibration characteristics of functionally graded graphene reinforced porous nanocomposite cylindrical shells with spinning motion10.1016/j.compositesb.2018.03.009 ↗
7. Nonlinear vibration and postbuckling of functionally graded graphene reinforced porous nanocomposite beams10.1016/j.compscitech.2017.02.008 ↗
8. Nonlinear bending of functionally graded porous micro/nano-beams reinforced with graphene platelets based upon nonlocal strain gradient theory10.1016/j.compstruct.2017.11.082 ↗
9. Thermo-mechanical buckling behavior of FG GNP reinforced micro plate based on MSGT10.1016/j.tws.2019.04.054 ↗
10. A novel microstructure-dependent shear deformable beam model10.1016/j.ijmecsci.2015.05.003 ↗
11. Effect of porosity on free and forced vibration characteristics of the GPL reinforcement composite nanostructures10.1016/j.camwa.2018.12.041 ↗
12. Wave dispersion characteristics of embedded graphene platelets-reinforced composite microplates10.1140/epjp/i2018-11956-5 ↗
13. Post-buckling analysis of refined shear deformable graphene platelet reinforced beams with porosities and geometrical imperfection10.1016/j.compstruct.2017.08.082 ↗
14. A size-dependent functionally graded Reddy plate model based on a modified couple stress theory10.1016/j.compositesb.2012.09.065 ↗
15. A non-classical third-order shear deformation plate model based on a modified couple stress theory10.1007/s00707-013-0880-8 ↗
16. Analysis of Mindlin micro plates with a modified couple stress theory and a meshless method10.1016/j.apm.2012.09.063 ↗
17. Analytical solutions for bending, vibration, and buckling of FGM plates using a couple stress-based third-order theory10.1016/j.compstruct.2013.03.007 ↗
18. A size-dependent four variable refined plate model for functionally graded microplates based on modified couple stress theory10.1016/j.compstruct.2015.04.033 ↗
19. Nonlinear dynamical behaviour of geometrically imperfect microplates based on modified couple stress theory10.1016/j.ijmecsci.2014.11.002 ↗
20. Size-dependent functionally graded Kirchhoff and Mindlin plate models based on a modified couple stress theory10.1016/j.compstruct.2012.08.023 ↗
21. A non-classical third-order shear deformation plate model based on a modified couple stress theory10.1016/j.compstruct.2012.09.025 ↗
22. A nonlinear modified couple stress-based third-order theory of functionally graded plates10.1016/j.compstruct.2011.10.006 ↗
23. Bending analysis of microtubules using nonlocal Euler-Bernoulli beam theory10.1016/j.apm.2010.11.004 ↗
24. The size-dependent vibration analysis of micro-plates based on a modified couple stress theory10.1016/j.physe.2010.11.005 ↗
25. Analytical solutions for bending, vibration, and buckling of FGM plates using a couple stress-based third-order theory10.1016/j.compstruct.2013.03.007 ↗
26. A non-classical Mindlin plate model based on a modified couple stress theory10.1007/s00707-011-0480-4 ↗
27. Nonlocal nonlinear analysis of functionally graded plates using third-order shear deformation theory10.1016/j.ijengsci.2017.12.006 ↗
28. Size-dependent modeling of the free vibration characteristics of post buckled third order shear deformable rectangular nanoplates based on the surface stress elasticity theory10.1016/j.compositesb.2016.04.002 ↗
29. Vibration and bending analysis of multiferroic rectangular plates using third order shear deformation theory10.1016/j.compstruct.2016.06.064 ↗
30. Nonlocal third-order shear deformation theory for analysis of laminated plates considering surface stress effects10.1016/j.compstruct.2015.11.068 ↗
31. Coupled thermos elasticity of functionally graded plates based on the third-order shear deformation theory10.1016/j.tws.2012.01.009 ↗
32. Exact solutions for free flexural vibration of Lévy-type rectangular thick plates via third-order shear deformation plate theory10.1016/j.apm.2010.07.028 ↗
33. An RMVT-based third-order shear deformation theory of multilayered functionally graded material plates10.1016/j.compstruct.2010.01.022 ↗
34. Nonlocal third-order shear deformation plate theory with application to bending and vibration of plates10.1016/j.jsv.2009.04.044 ↗
35. Forced vibration analysis of antisymmetric laminated rectangular plates with distributed patch mass using third order shear deformation theory10.1016/j.tws.2008.11.006 ↗
36. Free vibration analysis of antisymmetric laminated rectangular plates with distributed patch mass using third-order shear deformation theory10.1016/j.oceaneng.2007.09.002 ↗
37. A new simple third-order shear deformation theory of plates10.1016/j.ijsolstr.2006.11.031 ↗
38. Natural frequencies of laminated composite plates using third order shear deformation theory10.1016/j.compstruct.2004.11.012 ↗
39. Analysis of composite plates using higher-order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method10.1016/S1359-8368(03)00083-0 ↗
40. Radial basis functions and higher-order shear deformation theories in the analysis of laminated composite beams and plates10.1016/j.compstruct.2004.04.050 ↗
41. Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method10.1016/j.compstruct.2004.08.003 ↗