In this paper, static analysis of nanocomposite cylinders reinforced by
single-walled carbon nanotubes subjected to internal and external pressure was
carried out by a mesh-free method. In the mesh-free analysis, moving least
squares shape functions are used for approximation of displacement field in the
weak form of equilibrium equation. Four types of distributions of the aligned
carbon nanotubes are considered: uniform and three kinds of functionally graded
distributions along the radial direction of cylinder. Material properties are
estimated by a micro-mechanical model. In this simulation, an axisymmetric model
is used. Detailed parametric studies have been carried out to investigate the
influences of the kind of distribution and volume fractions of carbon nanotubes
and cylinder thickness on displacement and stress fields for carbon
nanotube-reinforced composite cylinders. Results obtained for this analysis were
compared with analytical solutions and good agreement was seen between them.
DaiH. Carbon nanotubes: opportunities and
challenges. Surf Sci2002; 500:
218–241.
2.
KangIHeungYKimJ. Introduction to carbon
nanotube and nanofiber smart materials. Compos Part
B2006; 37:
382–394.
3.
LauKTGuCHuiD. A critical review on nanotube and
nanotube/nanoclay related polymer composite materials.
Compos Part B2006; 37:
425–436.
4.
ThostensonETRenZFChouTW. Advances in the science and
technology of carbon nanotubes and their composites: a
review. Compos Sci Technol2001; 61:
1899–1912.
GojnyFHWichmannMHGFiedlerB. Influence of different carbon
nanotubes on the mechanical properties of epoxy matrix composites – A
comparative study. Compos Sci Tecnol2005; 65:
2300–2313.
7.
FidelusJDWieselEGojnyFH. Thermo-mechanical properties
of randomly oriented carbon/epoxy nanocomposites.
Compos Part A2005; 36:
1555–1561.
8.
HanYElliottJ. Molecular dynamics simulations of the
elastic properties of polymer/carbon nanotube composites.
Comput Mater Sci2007; 39:
315–323.
9.
ManchadoMALValentiniLBiagiottiJ. Thermal and mechanical
properties of single-walled carbon nanotubes-polypropylene composites
prepared by melt processing. Carbon2005; 43:
1499–1505.
10.
MokashiVVQianDLiuYJ. A study on the tensile response and
fracture in carbon nanotube-based composites using molecular
mechanics. Compos Sci Technol2007; 67:
530–540.
11.
BonnetPSireudeDGarnierB. Thermal properties and
percolation in carbon nanotube–polymer composites. J
Appl Phys2007; 91:
2019–2030.
12.
ZhuRPanERoyAK. Molecular dynamics study of the
stress–strain behavior of carbon-nanotube reinforced Epon 862
composites. Mater Sci Eng A2007; 447:
51–57.
13.
PutzKWMitchellCAKrishnamoortiR. Elastic modulus of
single-walled carbon nanotube/poly (methyl methacrylate)
nanocomposites. J Polym Sci Part B: Polym
Phys2004; 42:
2286–2293.
14.
ShenHS. Nonlinear bending of functionally
graded carbon nanotube reinforced composite plates in thermal
environments. Compos Struct2009; 91:
9–19.
15.
ShenHS. Postbuckling of nanotube-reinforced
composite cylindrical shells in thermal environments, Part I: Axially-loaded
shells. Compos Struct2011; 93:
2096–2108.
16.
Moradi-DastjerdiRForoutanMPourasgharA. Dynamic analysis of functionally
graded nanocomposite cylinders reinforced by carbon nanotube by a mesh-free
method. Mater Des2013; 44:
256–266.
17.
ZhuPLeiZXLiewKM. Static and free vibration analyses of
carbon nanotube-reinforced composite plates using finite element method with
first order shear deformation plate theory. Compos
Struct2012; 94:
1450–1460.
HorganCOChanAM. The pressurized hollow cylinder or
disk problem for functionally graded isotropic linearly elastic
materials. J Elas1999; 55:
43–59.
20.
TutuncuNOzturkM. Exact solutions for stresses in
functionally graded pressure vessels. J Compos Part
B2001; 32:
683–686.
21.
TutuncuN. Stresses in thick-walled FGM
cylinders with exponentially-varying properties. J
Eng Struct2007; 29:
2032–2035.
22.
XuHMYaoXFFengXQ. Fundamental solution of a
power-law orthotropic and half-space functionally graded material under line
loads. Compos Sci Technol2008; 68:
27–34.
23.
LiXFPengXL. A pressurized functionally graded
hollow cylinder with arbitrarily varying material
properties. J Elas2009; 96:
81–95.
24.
TutuncuNTemelB. A novel approach to stress analysis
of pressurized FGM cylinders, disks and spheres. J
Compos Struct2009; 91:
385–390.
25.
Sobhani AraghBYasMH. Static and free vibration analyses of
continuously graded fiber-reinforced cylindrical shells using generalized
power-law distribution. Acta Mech2010; 215:
155–173.
26.
NieGJBatraRC. Static deformations of functionally
graded polar-orthotropic cylinders with elliptical inner and circular outer
surfaces. Compos Sci Technol2010; 70:
450–457.
27.
ChingHKYenSC. Meshless local Petrov-Galerkin
analysis for 2D functionally graded elastic solids under mechanical and
thermal loads. J Compos Part B2005; 36:
223–240.
28.
GilhooleyDFXiaoJRBatraRC. Two-dimensional stress
analysis of functionally graded solids using the MLPG method with radial
basis functions. J Comput Mater Sci2008; 41:
467–481.
29.
SladekVSladekJZhangCh. Local integral equation formulation
for axially symmetric problems involving elastic FGM.
Eng Anal Bound Elem2008; 32:
1012–1024.
30.
ZhaoXLiewKM. A mesh-free method for analysis of
the thermal and mechanical buckling of functionally graded cylindrical shell
panels. Comput Mech2010; 45:
297–310.
31.
ForoutanMMoradi-DastjerdiRSotoodeh-BahreiniR. Static analysis of FGM cylinders by a
mesh-free method. Steel Compos Struct2012; 12:
1–11.
32.
MollaraziHRForoutanMMoradi-DastjerdiR. Analysis of free vibration of
functionally graded material (FGM) cylinders by a meshless
method. J Compos Mater2011; 46:
507–515.
33.
ForoutanMMoradi-DastjerdiR. Dynamic analysis of functionally
graded material cylinders under an impact load by a mesh-free
method. Acta Mech2011; 219:
281–290.
34.
LancasterPSalkauskasK. Surface generated by moving least
squares methods. Math Comput1981; 37:
141–158.
35.
SongYSYounJR. Modeling of effective elastic
properties for polymer based carbon nanotube composites.
Polymer2006; 47:
1741–1748.
36.
ShenHSZhangCL. Thermal buckling and postbuckling
behavior of functionally graded carbon nanotube-reinforced composite
plates. Mater Des2010; 31:
3403–3411.
