Size-dependent isogeometric analysis of functionally graded carbon nanotube-reinforced composite nanoplates
Source abstract
Abstract
Abstract This paper presents an effective and simple computational formulation based on isogeometric analysis (IGA) and generalized higher-order shear deformation theory (GHSDT) to study size-dependent analysis of functionally graded carbon nano-reinforced composite (FG-CNTRC) nanoplates. The material properties of FG-CNTRC are assumed to be graded through the thickness direction according to four special distributions of carbon nanotubes (CNTs). The differential nonlocal equations are utilized to take into account size effects. The nonlocal governing equations are approximated according to IGA based on GHSDT, which satisfies naturally the higher-order derivatives continuity requirement in weak form of FG-CNTRC nanoplates. Carbon nanotube volume fraction and nonlocal effects on responses of FG-CNTRC nanoplates with different volume fractions are studied. Numerical results prove high accuracy and reliability of the present method in comparison with other available numerical approaches.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Nonlocal and gradient elasticity in micro/nano structures · Composite Structure Analysis and Optimization · Numerical methods in engineering
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (79)
Show source-provided references
1. Helical microtubules of graphitic carbon10.1038/354056a0 ↗
2. Harris · 2001
3. Advances in the science and technology of carbon nanotubes and their composites: a review10.1016/S0266-3538(01)00094-X ↗
4. Novel applications of functionally graded nano, optoelectronic and thermoelectric materials
5. Structural flexibility of carbon naotubes
6. Elastic properties of C and Bx Cy Nz composite nanotubes10.1103/PhysRevLett.80.4502 ↗
7. High strain rate fracture and C-chain unraveling in carbon nanotubes10.1016/S0927-0256(97)00047-5 ↗
8. Structural and equivalent continuum properties of single-walled carbon nanotubes10.1504/IJMPT.2003.002498 ↗
9. A structural mechanics approach for the analysis of carbon nanotubes10.1016/S0020-7683(03)00056-8 ↗
10. Single-walled carbon nanotubes as ultrahigh frequency nanomechanical resonators10.1103/PhysRevB.68.073405 ↗
11. A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphene10.1016/j.commatsci.2011.07.040 ↗
12. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves10.1063/1.332803 ↗
13. Application of nonlocal continuum mechanics to static analysis of micro- and nano-structures10.1016/j.physleta.2006.10.093 ↗
14. Column buckling of multi-walled carbon nanotubes using nonlocal continuum mechanics10.1063/1.1625437 ↗
15. Free vibration analysis of nonlocal strain gradient beams made of functionally graded material10.1016/j.ijengsci.2016.02.010 ↗
16. Buckling analysis of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity and Timoshenko beam theory and using DQM10.1016/j.physe.2009.02.004 ↗
17. Thermo-mechanical vibration of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity theory10.1016/j.commatsci.2009.04.019 ↗
18. A review on nonlocal elastic models for bending, buckling, vibrations, and wave propagation of nanoscale beams10.1016/j.apm.2015.11.026 ↗
19. Effect of the chirality on critical buckling temperature of zigzag single-walled carbon nanotubes using the nonlocal continuum theory10.1080/1536383X.2012.749457 ↗
20. Nonlinear free vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory10.1016/j.physe.2010.01.035 ↗
21. Flexural wave propagation in small-scaled functionally graded beams via a nonlocal strain gradient theory10.1016/j.compstruct.2015.08.014 ↗
22. Evaluation of nonlocal parameter in the vibrations of single-walled carbon nanotubes with initial strain10.1016/j.physe.2010.03.028 ↗
23. Thermal buckling of multi-walled carbon nanotubes by nonlocal elasticity10.1115/1.2200656 ↗
24. Analysis of size-dependent mechanical properties of CNTs mass sensor using energy equivalent model10.1016/j.sna.2016.05.009 ↗
25. Nonlinear analysis of size-dependent and material-dependent nonlocal CNTs10.1016/j.compstruct.2016.07.013 ↗
26. Vibration analysis of a viscous-fluid-conveying single-walled carbon nanotube embedded in an elastic medium10.1016/j.physe.2008.10.002 ↗
27. Modeling carbon nanotube-based mass sensors using axial vibration and nonlocal elasticity10.1016/j.physe.2011.02.006 ↗
28. Vibration of single- and double-layered graphene sheets10.1115/1.4003353 ↗
29. Small-scale effect on the free in-plane vibration of nanoplates by nonlocal continuum model10.1016/j.physe.2009.05.013 ↗
30. Nonlocal finite element model for vibrations of embedded multi-layered graphene sheets10.1016/j.commatsci.2010.06.032 ↗
31. Vibration analysis of orthotropic graphene sheets embedded in Pasternak elastic medium using nonlocal elasticity theory and differential quadrature method10.1016/j.commatsci.2010.08.009 ↗
32. Nonlocal elasticity theory for vibration of nanoplates10.1016/j.jsv.2009.03.007 ↗
33. Analytical zigzag-elasticity transient and forced dynamic stress and displacement response prediction of the annular FGM sandwich plates10.1016/j.compstruct.2013.06.023 ↗
34. Highly accurate nonlinear three-dimensional finite element elasticity approach for biaxial buckling of rectangular anisotropic FGM plates with general orthotropy directions10.1016/j.compstruct.2013.06.006 ↗
35. Thermo-electro-mechanical postbuckling of piezoelectric FG-CNTRC beams with geometric imperfections10.1088/0964-1726/25/9/095022 ↗
36. An investigation on the aeroelastic flutter characteristics of FG-CNTRC beams in the supersonic flow10.1016/j.compositesb.2016.10.089 ↗
37. Finite element analysis of fretting wear under variable coefficient of friction and different contact regimes10.1016/j.triboint.2016.11.044 ↗
38. Fretting fatigue stress analysis in heterogeneous material using direct numerical simulations in solid mechanics10.1016/j.triboint.2016.12.033 ↗
39. A numerical study on the effect of debris layer on frettingwear10.3390/ma9070597 ↗
40. On the Convergence of Stresses in Fretting Fatigue
41. Prediction of fretting fatigue crack initiation in double lap bolted joint10.1016/j.ijfatigue.2014.11.012 ↗
42. A cell-based smoothed discrete shear gap method (CS-FEM-DSG3) using layerwise deformation theory for dynamic response of composite plates resting on viscoelastic foundation10.1016/j.cma.2014.01.009 ↗
43. A cell-based smoothed finite element method using three-node shear-locking free Mindlin plate element (CS-FEM-MIN3) for dynamic response of laminated composite plates on viscoelastic foundation10.1016/j.enganabound.2013.11.008 ↗
44. A cell-based smoothed three-node Mindlin plate element (CS-FEM-MIN3) based on the C0-type higher-order shear deformation for geometrically nonlinear analysis of laminated composite plates10.1016/j.commatsci.2014.04.043 ↗
45. Resonant frequency analysis of fixed-free single-walled carbon nanotube-based mass sensor10.1016/j.sna.2005.10.005 ↗
46. Free vibration analysis of cracked Mindlin plate using an extended cell-based smoothed discrete shear gap method (XCS-DSG3)10.1016/j.tafmec.2014.02.004 ↗
47. A cell-based smoothed discrete shear gap method (CS-FEM-DSG3) based on the C0-type higher-order shear deformation theory for dynamic responses of Mindlin plates on viscoelastic foundations subjected to a moving sprung vehicle10.1002/nme.4662 ↗
48. A comprehensive study on the vibrational behavior of CNT-reinforced composite beams10.1016/j.compstruct.2015.02.033 ↗
49. An edge-based smoothed three-node Mindlin plate element (ES-MIN3) for static and free vibration analyses of plates10.1007/s12205-014-0002-8 ↗
50. Free vibration of a perfectly clamped-free beam with stepwise eccentric distributed masses
51. Static and free vibration analyses of composite and sandwich plates by an edge-based smoothed discrete shear gap method (ES-DSG3) using triangular elements based on layerwise theory10.1016/j.compositesb.2013.12.044 ↗
52. Cottrell · 2009
53. Rabczuk. Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids10.1016/j.cma.2011.01.018 ↗
54. Two-and three-dimensional isogeometric cohesive elements for composite delamination analysis10.1016/j.compositesb.2013.12.018 ↗
55. High-order B-splines based finite elements for delamination analysis of laminated composites10.1016/j.compstruct.2013.02.029 ↗
56. Isogeometric analysis of structural vibrations10.1016/j.cma.2005.09.027 ↗
57. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement10.1016/j.cma.2004.10.008 ↗
58. Analysis of laminated composite plates integrated with piezoelectric sensors and actuators using higher-order shear deformation theory and isogeometric finite elements10.1016/j.commatsci.2014.04.068 ↗
59. Isogeometric shell analysis with Kirchhoff-Love elements10.1016/j.cma.2009.08.013 ↗
60. An efficient computational approach for control of nonlinear transient responses of smart piezoelectric composite plates10.1016/j.ijnonlinmec.2015.06.003 ↗
61. Nonlinear transient isogeometric analysis of smart piezoelectric functionally graded material plates based on generalized shear deformation theory under thermo-electro-mechanical loads
62. A generalized layerwise higher-order shear deformation theory for laminated composite and sandwich plates based on isogeometric analysis10.1007/s00707-015-1547-4 ↗
63. Isogeometric analysis for nonlinear thermomechanical stability of functionally graded plates10.1016/j.compstruct.2016.01.001 ↗
64. A simple four-unknown shear and normal deformations theory for functionally graded isotropic and sandwich plates based on isogeometric analysis10.1016/j.compstruct.2015.11.066 ↗
65. Isogeometric analysis of functionally graded carbon nanotube-reinforced composite plates using higher-order shear deformation theory10.1016/j.compstruct.2014.12.021 ↗
66. Static and free vibration analyses of carbon nano-tube reinforced composite plates using finite element method with first order shear deformation plate theory10.1016/j.compstruct.2011.11.010 ↗
67. Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments10.1016/j.compstruct.2009.04.026 ↗
68. Eringen · 2002
69. A transverse shear deformation theory for homogenous monoclinic plates10.1007/BF01176650 ↗
70. An efficient standard plate theory10.1016/0020-7225(91)90165-Y ↗
71. Reddy · 2004
72. Nonlocal theories for bending, buckling and vibration of beams10.1016/j.ijengsci.2007.04.004 ↗
73. Reddy · 2005
74. An efficient computational approach for size-dependent analysis of functionally graded nanoplates10.1016/j.cma.2015.07.021 ↗
75. A refined quasi-3D isogeometric analysis for FGM microplates based on the modified couple stress theory10.1016/j.cma.2016.10.002 ↗
76. Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites10.1016/j.commatsci.2006.06.011 ↗
77. A unified approach for shear-locking free triangular and rectangular shell finite elements10.1016/S0045-7949(99)00140-6 ↗
78. Temperature-dependent elastic properties of single-walled carbon nanotubes: prediction from molecular dynamics simulation10.1063/1.2336622 ↗
79. Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory10.1016/j.compstruct.2011.11.010 ↗