TY - JOUR
T1 - An analytical solution on interface debonding for large diameter carbon nanotube-reinforced composite with functionally graded variation interphase
AU - Zhang, Yancheng
AU - Zhao, Junhua
AU - Jia, Yue
AU - Mabrouki, Tarek
AU - Gong, Yadong
AU - Wei, Ning
AU - Rabczuk, Timon
N1 - Funding Information:
The authors would like to gratefully acknowledge the financial supports from the German Federation of Materials Science and Engineering (BV MatWerk), the German Research Foundation (DFG) and the Marie Curie International Research Staff Exchange Scheme (IRSES)-MULTIFRAC. European Union through the FP7-Grant ITN (Marie Curie Initial Training Networks) INSIST (Integrating Numerical Simulation and Geometric Design Technology). We also thank two anonymous reviewers for useful suggestions which have resulted in significant improvement of the original manuscript.
PY - 2013/10
Y1 - 2013/10
N2 - A three-dimensional (3D) analytical solution is derived for homogeneous cylinder with the functionally graded variation interphase (FGVI) at the inner surface. Based on the 3D solution, the dilute solution-based homogeneous model is adopted for the carbon nanotube (CNT)-reinforced nanocomposite considering FGVI and effective fibre modulus, in which the van der Waals-based cohesive law is adopted for the connection between CNT and the interphase. Parametric studies demonstrate that: (1) FGVI increases the composite stiffness, while it leads to the earlier debonding of the cohesive interface. (2) The peak strength of the macroscopic stress-strain is greatly influenced by the cohesive strength at the interface, higher cohesive strength leads to higher macroscopic peak strength. (3) The peak strength of the macroscopic stress-strain relation is underestimated without considering the effective fibre modulus, and the influence of the effective FGVI modulus is larger than that of the effective fibre. (4) CNTs of the large diameter bring the stress drop at a very small strain, especially for the large volume fraction of CNT.
AB - A three-dimensional (3D) analytical solution is derived for homogeneous cylinder with the functionally graded variation interphase (FGVI) at the inner surface. Based on the 3D solution, the dilute solution-based homogeneous model is adopted for the carbon nanotube (CNT)-reinforced nanocomposite considering FGVI and effective fibre modulus, in which the van der Waals-based cohesive law is adopted for the connection between CNT and the interphase. Parametric studies demonstrate that: (1) FGVI increases the composite stiffness, while it leads to the earlier debonding of the cohesive interface. (2) The peak strength of the macroscopic stress-strain is greatly influenced by the cohesive strength at the interface, higher cohesive strength leads to higher macroscopic peak strength. (3) The peak strength of the macroscopic stress-strain relation is underestimated without considering the effective fibre modulus, and the influence of the effective FGVI modulus is larger than that of the effective fibre. (4) CNTs of the large diameter bring the stress drop at a very small strain, especially for the large volume fraction of CNT.
KW - 3D analytical solution
KW - CNT-reinforced nanocomposites
KW - Effective fibre modulus
KW - Functionally graded variation interphase (FGVI)
KW - Van der Waals (vdW) force
UR - http://www.scopus.com/inward/record.url?scp=84879427975&partnerID=8YFLogxK
U2 - 10.1016/j.compstruct.2013.04.029
DO - 10.1016/j.compstruct.2013.04.029
M3 - Article
AN - SCOPUS:84879427975
VL - 104
SP - 261
EP - 269
JO - Composite Structures
JF - Composite Structures
SN - 0263-8223
ER -