Abstract




 
   

IJE TRANSACTIONS B: Applications Vol. 21, No. 3 (October 2008) 227-234   

downloaded Downloaded: 175   viewed Viewed: 2068

  STRESS TRANSFER MODELING IN CNT REINFORCED COMPOSITES USING CONTINUUM MECHANICS (TECHNICAL NOTE)
 
 
A. Chaboki Khiabani*
 
Department of Engineering, University of Kurdistan
P.O. Box 416, Sanandaj, Iran
a.chaboki@uok.ac.ir
 
S. A. Sadrnejad and M. Yahyaeii

Department of Civil Engineering, K. N. Toosi University
P.O. Box 19395-4941, Tehran, Iran
sadrnejad@kntu.ac.ir - m.yahyaeii@kntu.ac.ir
 
*Corresponding Author
 
 
 
( Received: November 09, 2007 – Accepted in Revised Form: May 09, 2008 )
 
 

Abstract    Because of the substantial difference in stiffness between matrix and nanotube in CNT composite, the stress transfer between them controls their mechanical properties. This paper investigates the said issue, analytically and numerically, in axial load using representative volume element (RVE). The analytical model was established based on the modified Cox’s shear lag model with the use of some simplified assumptions. Some, in the developed shear lag model, the CNT assumes hollow fiber. Solving the governing differential equation, led the high shear stress in interface especially in the CNT cap. In addition, some finite element models were performed with different aspect ratios and the shear stress pattern especially in interface was calculated numerically. Despite some simplified assumptions that were performed with these two models such as elastic behavior and full connectivity, and the comparison of their results with other numerical models show adequate agreement.

 

Keywords    Nanotube, Continuum, FEM, RVE, Shear-Lag

 

References   

1. Tostenson, E. T. and Ren, Z. F., “Advances in the Science and Technology of Carbon Nanotubes and their Composites: A Review”, Composite Science Technology, Vol. 61, (2001), 1899-1912.

2. Liu, Y. J. and Chen, X. L., “Evaluations of the Effective Material Properties of Carbon Nanotube Based Composites Using a Nanoscale Representative Volume Element”, Mechanical Material, Vol. 35, (2003), 69-81.

3. Qian, D., Dickey, E. C. and Andews, R., “Load Transfer and Deformation Mechanisms in Carbon Nanotube-Polystyrene Composites”, Applied Physics Letter, Vol. 76, (2000), 2868-2870.

4. Tostenson, E. T., Li, C. and Chou, T. W., “Carbon Nanotube-Reinforced Composites: Processing, Modeling and Property Characterization”, Tenth US-Japan Conference on Composite Materials, Stanford, (September 16-18, 2002), 641-647.

5. Wagner, H. D., “Nanotube-Polymer Adhesion: a Mechanics Approach”, Chemistry Physics Letters, Vol. 361, (2002), 57-61.

6. Lordi, V. and Yao, N., “Molecular Mechanics of Binding in Carbon-Nanotube-Polymer Composites”, Journal of Material Research, Vol. 15, (2000), 2770-2779.

7. Wise, K. and Hinkley, J., “Molecular Dynamics Simulations of Nanotube-Polymer Composites”, American Physical Society Spring Meeting, Seattle, WA, (2001), 12-16.

8. Odegard, G. M., Gates, T. S. and Wise, K. E., “Constitutive Modeling of Nanotube-Reinforced Polymer Composites”, Composite Science and Technology, Vol. 11, (2003), 1671-1687.

9. Pipes, R. B. and Hubert, P., “Helical Carbon Nanotube Arrays: Mechanical Properties”, Composite Science Technology, Vol. 62, (2002), 419-428.

10. Pipes, R. B., Salvetat, J. P., Hubert, P. and Zalamea, L., “Flexural Deflection as a Measure of Van Der Waals Interaction Forces in the CNT Array”, Composite Science and Technology, Vol. 66(9), (2006), 1112-1119.

11. Fiedler, B., Gojny, F. H. and Wichmann, F. H., “Fundamental Aspects of Nano-Reinforced Composites”, Composites Science and Technology, Vol. 66, (2006), 3115-3125.

12. Liu, Y. J. and Chen, X. L., “Continuum Models of Carbon Nanotube-Based Composites Using the Boundary Element Method”, Electron. J. Bound. Elements, Vol. 1, (2003), 316-335.

13. Liu, Y. J. and Chen, X. L., “Evaluations of the Effective Materials Properties of Carbon Nanotube-Based Composites Using a Nanoscale Representative Volume Element”, Mechanics of Material, Vol. 35, (2003), 69-81.

14. Chen, X. L. and Liu, Y. J., “Square Representative Volume Elements for Evaluating the Effective Material Properties of Carbon Nanotube-Based Composites”, Computational Material Science, Vol. 29, No. 1, (2004), 1-11.

15. Hsueh, C. H., “Elastic Load Transfer from Particially Embedded Axially Loaded Fiber to Matrix”, Material Science Letter, Vol. 7, (1988), 497-450.

16. Cox, H. L., “The elasticity and Strength of Paper and other Fibrous Materials”, Brit. Journal of Applied Physics, Vol. 3, (1952), 72-79.

17. Nairn, J. A., “On the use of Shear-Lag Methods for Analysis of Stress Transfer in Unidirectional Composites”, Mech. Mater, Vol. 26, (1997), 63-80.

18. Gao, X. L. and Li, K., “A Shear-Lag Model for Carbon Nanotube-Reinforced Polymer Composites”, International Journal of Solids and Structures, Vol. 42, (2005), 1649-1667.

19. Haque, A. and Ramasetty, A., “Theoretical Study of Stress Transfer in Carbon Nanotube Reinforced Polymer Matrix Composites”, Composite Structures, Vol. 71,(2005), 68-77.





International Journal of Engineering
E-mail: office@ije.ir
Web Site: http://www.ije.ir