A cohesive law for carbon nanotube/polymer interfaces based on the van der Waals force

Journal of the Mechanics and Physics of Solids

Volumn 54, Issue 11, 2006, Pages 2436-2452

  Jiang, L Y ^a   Huang, Y ^a   Jiang, H ^b   Ravichandran, G ^c   Gao, H ^d   Hwang, K C ^e   Liu, B ^e  

^a University of Illinois at Urbana Champaign   (United States)

^b Arizona State University   (United States)

^c CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^d Brown University   (United States)

^e TSINGHUA UNIVERSITY   (China)

Author keywords

Carbon nanotube composites; Carbon nanotube polymer interface; Cohesive law; van der Waals force

Indexed keywords

POLYMER SURFACE ROUGHNESS; SHEAR COHESIVE STRESS; SLIDING DISPLACEMENTS; TENSILE COHESIVE STRENGTH;

CARBON NANOTUBES; POLYMERS; STRESS ANALYSIS; SURFACE ROUGHNESS; VAN DER WAALS FORCES;

INTERFACES (MATERIALS);

EID: 33749674157     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2006.04.009     Document Type: Article

References (43)

1. Ajayan P.M., Schadler L.S., Giannaris C., and Rubio A. Single-walled carbon nanotube-polymer composites: strength and weakness. Adv. Mater. 12 (2000) 750-753
2. Bazant Z.P. Concrete fracture models: testing and practice. Eng. Fract. Mech. 69 2 (2002) 165-205
3. Breuer O., and Sundararaj U. Big returns from small fibers: a review of polymer/carbon nanotube composites. Polym. Compos. 25 (2004) 630-645
4. Camacho G.T., and Ortiz M. Computational modelling of impact damage in brittle materials. Int. J. Solids Struct. 33 (1996) 2899-2938
5. Deepak S., Wei C., and Cho K. Nanomechanics of carbon nanotubes and composites. Appl. Mech. Rev. 56 2 (2003) 215-230
6. Elices M., Guinea G.V., Gomez J., and Planas J. The cohesive zone model: advantages, limitations and challenges. Eng. Fract. Mech. 69 2 (2002) 137-163
7. Frankland S.J.V., Caglar A., Brenner D.W., and Griebel M. Molecular simulation of the influence of chemical cross-links on the shear strength of carbon nanotube-polymer interfaces. J. Phys. Chem. B 106 (2002) 3046-3048
8. Frankland S.J.V., Harik V.M., Odegard G.M., Brenner D.W., and Gates T.S. The stress-strain behavior of polymer-nanotube composites from molecular dynamics simulation. Compos. Sci. Technol. 63 (2003) 1655-1661
9. Geubelle P.H., and Baylor J.S. Impact-induced delamination of composites: a 2D simulation. Compos. B 29 (1998) 589-602
10. Gou J., Minaie B., Wang B., Liang Z., and Zhang C. Computational and experimental study of interfacial bonding of single-walled nanotube reinforced composites. Comp. Mater. Sci. 31 (2004) 225-236
11. 3. Eng. Fract. Mech. 63 2 (1999) 115-129
12. Harris P.J.F. Carbon nanotube composites. Int. Mater. Rev. 49 1 (2004) 31-43
13. Hong S.S., and Kim K.S. Extraction of cohesive-zone laws from elastic far-fields of a cohesive crack tip: a field projection method. J. Mech. Phys. Solids 51 7 (2003) 1267-1286
14. Huang Y., and Gao H. Intersonic crack propagation. Part I: The fundamental solution. J. Appl. Mech. 68 (2001) 169-175
15. Kubair D.V., Geubelle P.H., and Huang Y. Intersonic crack propagation in homogeneous media under shear-dominated loading: theoretical analysis. J. Mech. Phys. Solids 50 (2002) 1547-1564
16. Kubair D.V., Geubelle P.H., and Huang Y. Analysis of a rate-dependent cohesive model for dynamic crack propogation. Eng. Fract. Mech. 70 (2003) 685-704
17. Lau K.T., and Shi S.Q. Failure mechanisms of carbon nanotube/epoxy composites pre-treated in different temperature environments. Carbon 40 (2002) 2965-2968
18. Li V.C., Chan C.M., and Leung K.Y. Experimental determination of the tension-softening relations for cementitious composites. Cement Concrete Res. 17 (1987) 441-452
19. Li C.Y., and Chou T.W. Multiscale modeling of carbon nanotube reinforced polymer composites. J. Nanosci. Nanotechnol. 3 5 (2003) 423-430
20. Liao K., and Li S. Interfacial characteristics of a carbon nanotube-polystyrene composite system. Appl. Phys. Lett. 79 25 (2001) 4225-4227
21. Liu Y.J., and Chen X.L. Evaluations of the effective material properties of carbon nanotube-based composites using a nanoscale representative volume element. Mech. Mater. 35 (2003) 69-81
22. Lordi V., and Yao N. Molecular mechanics of binding in carbon-nanotube-polymer composites. J. Mater. Res. 15 (2000) 2770-2779
23. Maruyama B., and Alam H. Carbon nanotubes and nanofibers in composite materials. SAMPE J 38 3 (2002) 59-70
24. Mohammed I., and Liechti K.M. Cohesive zone modeling of crack nucleation at bimaterials corners. J. Mech. Phys. Solids 48 4 (2000) 735-764
25. Namilae S., and Chandra N. Multiscale model to study the effect of interfaces in carbon nanotube-based composites. J. Eng. Mater. Technol. 127 (2005) 222-232
26. Needleman A. A continuum model for void nucleation by inclusion debonding. J. Appl. Mech. 54 (1987) 525-531
27. Odegard G.M., Gates T.S., Nicholson L.M., and Wise K.E. Equivalent-continuum modeling of nano-structured materials. Compos. Sci. Technol. 62 (2002) 1869-1880
28. Odegard G.M., Gates T.S., Wise K.E., Park C., and Siochi E.J. Constitutive modeling of nanotube-reinforced polymer composites. Compos. Sci. Technol. 63 (2003) 1671-1687
29. Rapaport D.C. The Art of Molecular Dynamics Simulation (2004), Cambridge University Press, Cambridge
30. Samudrala O., Huang Y., and Rosakis A.J. Subsonic and intersonic mode II crack propagation with a rate-dependent cohesive zone. J. Mech. Phys. Solids 50 (2002) 1231-1268
31. Samudrala O., and Rosakis A.J. Effect of loading and geometry on the subsonic/intersonic transition of a bimaterial interface crack. Eng. Fract. Mech. 70 (2003) 309-337
32. Schadler L.S., Giannaris S.C., and Ajayan P.M. Load transfer in carbon nanotube epoxy composites, Appl. Phys. Lett. 73 26 (1998) 3842-3844
33. Shi D.L., Feng X.Q., Huang Y., Hwang K.C., and Gao H. The effect of nanotube waviness and agglomeration on the elastic property of carbon nanotube-reinforced composites. J. Eng. Mater. Technol. 126 (2004) 250-257
34. Tan H., Huang Y., Liu C., and Geubelle P.H. The Mori-Tanaka method for composite materials with nonlinear interface debonding. Int. J. Plasticity 21 10 (2005) 1890-1918
35. Tan H., Liu C., Huang Y., and Geubelle P.H. The cohesive law for the particle/matrix interfaces in high explosives. J. Mech. Phys. Solids 53 8 (2005) 1892-1917
36. Tan, H., Liu, C., Huang, Y., Geubelle, P.H., 2006. The effect of nonlinear interface debonding on the constitutive model of composite materials. Int. J. Multiscale Comput. Eng. (in press).
37. Thiagarajan G., Hsia K.J., and Huang Y. Finite element implementation of virtual internal bond model for simulating crack behavior. Eng. Fract. Mech. 71 (2004) 401-423
38. Thiagarajan G., Huang Y., and Hsia K.J. Fracture simulation using an elasto-viscoplastic virtual internal bond model with finite element. J. Appl. Mech. 71 (2004) 796-804
39. Thostenson E.T., Ren Z.F., and Chou T.W. Advances in the science and technology of carbon nanotubes and their composites: a review. Compos. Sci. Technol. 61 (2001) 1899-1912
40. Thostenson E.T., and Chou T.W. On the elastic properties of carbon nanotube-based composites: modelling and characterization. J. Phys. D-Appl. Phys. 36 5 (2003) 573-582
41. Thostenson E.T., Li C.Y., and Chou T.W. Nanocomposites in context. Compos. Sci. Technol. 65 3-4 (2005) 491-516
42. Wong M., Paramsothy M., Xu X.J., Ren Y., Li S., and Liao K. Physical interactions at carbon nanotube-polymer interface. Polymer 44 (2003) 7757-7764
43. Zhang P., Klein P.A., Huang Y., Gao H., and Wu P.D. Numerical simulation of cohesive fracture by the Virtual-Internal-Bond model. Comput. Model. Eng. Sci. 3 (2002) 263-277