Research Articles

Effects of the Longitudinal Surface Roughness on Fiber Pull-Out Behavior in Carbon Fiber-Reinforced Epoxy Resin Composites

[+] Author and Article Information
Shaohua Chen

e-mail: chenshaohua72@hotmail.com
The State Key Laboratory of
Nonlinear Mechanics,
Institute of Mechanics,
Chinese Academy of Sciences,
Beijing, 100190, China

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNALOF APPLIED MECHANICS. Manuscript received March 30, 2012; final manuscript received August 18, 2012; accepted manuscript posted August 23, 2012; published online January 22, 2013. Assoc. Editor: Daining Fang.

J. Appl. Mech 80(2), 021015 (Jan 22, 2013) (13 pages) Paper No: JAM-12-1126; doi: 10.1115/1.4007440 History: Received March 30, 2012; Revised August 18, 2012; Accepted August 23, 2012

Surface modifications are known as efficient technologies for advanced carbon fibers to achieve significant improvement of interface adhesion in composites, one of which is to increase the surface roughness in the fiber's longitudinal direction in practice. As a result, many microridges and grooves are produced on carbon fiber's surfaces. How does the surface roughness influence the carbon fiber's pull-out behavior? Are there any restrictions on the relation between the aspect ratio and surface roughness of fibers in order to obtain an optimal interface? Considering the real morphology on carbon fiber's surface, i.e., longitudinal roughness, an improved shear-lag theoretical model is developed in this paper in order to investigate the interface characteristics and fiber pull-out for carbon fiber-reinforced thermosetting epoxy resin (brittle) composites. Closed-form solutions to the carbon fiber stress are obtained as well as the analytical load-displacement relation during pullout, and the apparent interfacial shear strength (IFSS). It is found that the interfacial adhesion and the apparent IFSS are effectively strengthened and improved due to the surface roughness of carbon fibers. Under a given tensile load, an increasing roughness will result in a decreasing fiber stress in the debonded zone and a decreasing debonded length. Furthermore, it is interesting to find that, for a determined surface roughness, an optimal aspect ratio, about 30∼45, of carbon fibers exists, at which the apparent IFSS could achieve the maximum. Comparison to the existing experiments shows that the theoretical model is feasible and reasonable to predict the experimental results, and the theoretical results should have an instructive significance for practical designs of carbon/epoxy composites.

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Mukhopadhyay, M., 2005, Mechanics of Composite Materials and Structures, Longman, India.
Gibson, R. F., 2011, Principles of Composite Material Mechanics, 3rd ed., Taylor & Francis Group, Boca Raton, FL.
Christensen, R. M., 1979, Mechanics of Composite Materials, John Wiley & Sons, NJ.
Piggort, M. R., 2002, Load Bearing Fiber Composites, 2nd ed., Kluwer, New York.
Barbero, E. J., 2010, Introduction to Composite Materials Design, Taylor & Francis Group, Boca Raton, FL.
Hughes, J. D. H., 1991, “The Carbon Fiber/Epoxy Interface—A Review,” Compos. Sci. Technol., 41(1), pp. 31–45. [CrossRef]
Kobets, L. P., and Deev, I. S., 1997, “Carbon Fibers: Structure and Mechanical Properties,” Compos. Sci. Technol., 57(12), pp. 1571–1580. [CrossRef]
Carlson, T., Ordeus, D., Wysocki, M., and Asp, L. E., 2010, “Structural Capacitor Materials Made From Carbon Fiber Epoxy Composites,” Compos. Sci. Technol., 70(7), pp. 1135–1140. [CrossRef]
Schmidt, J. F., 2011, “Methods for Manufacturing a Vehicle Comprising Carbon Fiber,” U.S. Patent, 8,025,753, Sep. 27 2011.
Li, H., Liang, H., He, F., Huang, Y., and Wan, Y. Z., 2009, “Air Dielectric Barrier Discharges Plasma Surface Treatment of Three-Dimensional Braided Carbon Fiber Reinforced Epoxy Composites,” Surf. Coat. Technol., 203(10–11), pp. 1317–1321. [CrossRef]
Yan, C. Z., Hao, L., Xu, L., and Shi, Y. S., 2011, “Preparation, Characterisation and Processing of Carbon Fibre/Polyamide-12 Composites for Selective Laser Sintering,” Compos. Sci. Technol., 71(16), pp. 1834–1841. [CrossRef]
Park, S. J., Kim, M. H., Lee, J. R., and Choi, S., 2000, “Effect of Fiber–Polymer Interactions on Fracture Toughness Behavior of Carbon Fiber-Reinforced Epoxy Matrix Composites,” J. Colloid Interf. Sci., 228(2), pp. 287–291. [CrossRef]
Severini, F., Formaro, L., Pegoraro, M., and Posca, L., 2002, “Chemical Modification of Carbon Fiber Surfaces,” Carbon, 40(5), pp. 735–741. [CrossRef]
Chaudhuri, S. N., Chaudhuri, R. A., Benner, R. E., and Penugonda, M. S., 2006, “Raman Spectroscopy for Characterization of Interfacial Debonds Between Carbon Fibers and Polymer Matrices,” Compos. Struct., 76(4), pp. 375–387. [CrossRef]
Luo, Y. F., Zhao, Y., Duan, Y. X., and Du, S. Y., 2011, “Surface and Wettability Property Analysis of CCF300 Carbon Fibers With Different Sizing or Without Sizing,” Mater. Des., 32(2), pp. 941–946. [CrossRef]
Atkinson, K. E., and Kiely, C., 1998, “The Influence of Fiber Surface Properties on the Mode of Failure in Carbon-Fiber/Epoxy Composites,” Compos. Sci. Technol., 58(12), pp. 1917–1922. [CrossRef]
Meng, L. H., Chen, Z. W., Song, X. L., Liang, Y. X., Huang, Y. D., and Jiang, Z. X., 2009, “Influence of High Temperature and Pressure Ammonia Solution Treatment on Interfacial Behavior of Carbon Fiber/Epoxy Resin Composites,” J. Appl. Polym. Sci., 113(6), pp. 3436–3441. [CrossRef]
Fu, Y. F., Xu, K., Li, J., Sun, Z. Y., Zhang, F. Q., and Chen, D. M., 2012, “The Influence of Plasma Surface Treatment of Carbon Fibers on the Interfacial Adhesion Properties of UHMWPE Composite,” Polym. Plast. Technol. Eng., 51(3), pp. 273–276. [CrossRef]
Allongue, P., Delamar, M., Desbat, B., Fagebaume, O., Hitmi, R., Pinson, J., and Saveant, J. M., 1997, “Covalent Modification of Carbon Surfaces by Aryl Radicals Generated From the Electrochemical Reduction of Diazonium Salts,” J. Am. Chem. Soc., 119(1), pp. 201–207. [CrossRef]
Zhang, H., Zhang, Z., and Breidt, C., 2004, “Comparison of Short Carbon Fibre Surface Treatments on Epoxy Composites I. Enhancement of the Mechanical Properties,” Compos. Sci. Technol., 64(13–14), pp. 2021–2029. [CrossRef]
Bai, Y. P., Wang, Z., and Feng, L. Q., 2010, “Interface Properties of Carbon Fiber/Epoxy Resin Composite Improved by Supercritical Water and Oxygen in Supercritical Water,” Mater. Des., 31(3), pp. 1613–1616. [CrossRef]
Rhee, K. Y., Park, S. J., Hui, D., and Qiu, Y., 2011, “Effect of Oxygen Plasma-Treated Carbon Fibers on the Tribological Behavior of Oil-Absorbed Carbon/Epoxy Woven Composites,” Compos. Part B, (in press).
Zhang, Z. Q., Liu, Y. W., Huang, Y. D., Liu, L., and Bao, J. W., 2002, “The Effect of Carbon-Fiber Surface Properties on the Electron-Beam Curing of Epoxy-Resin Composites,” Compos. Sci. Technol., 62(3), pp. 331–337. [CrossRef]
Naves, L. Z., Santana, F. R., Castro, C. G., Valdivia, A. D., Mota, daA. S., Estrela, C., Sobrinho, C. L., and Soares, J. C., 2011, “Surface Treatment of Glass Fiber and Carbon Fiber Posts: SEM Characterization,” Microsc. Res. Tech., 74(12), pp. 1088–1092. [CrossRef] [PubMed]
Lu, C., Chen, P., Yu, Q., Ding, Z. F., Lin, Z. W., and Li, W., 2007, “Interfacial Adhesion of Plasma-Treated Carbon Fiber/Poly(Phthalazinone Ether Sulfone Ketone) Composite,” J. Appl. Polym. Sci., 106(3), pp. 1733–1741. [CrossRef]
Jiang, G., Pickering, S. J., Lester, E. H., Turner, T. A., Wong, K. H., and Warrior, N. A., 2009, “Characterization of Carbon Fibres Recycled From Carbon Fibre/Epoxy Resin Composites Using Super Critical n-Propanol,” Compos. Sci. Technol., 69(2), pp. 192–198. [CrossRef]
Kim, S. Y., Baek, S. J., and Youn, J. R., 2011, “New Hybrid Method for Simultaneous Improvement of Tensile and Impact Properties of Carbon Fiber Reinforced Composites,” Carbon, 49(15), pp. 5329–5338. [CrossRef]
Song, W., Gu, A. J., Liang, G. Z., and Li, Y., 2011, “Effects of Surface Roughness on Interfacial Properties of Carbon Fibers Reinforced Epoxy Resin Composites,” Appl. Surf. Sci., 257(9), pp. 4069–4074. [CrossRef]
Xie, J. F., Xin, D. W., Cao, H. Y., Wang, C. T., Zhao, Y., Yao, L., Ji, F., and Qiu, Y. P., 2011, “Improving Carbon Fiber Adhesion to Polyimide With Atmospheric Pressure Plasma Treatment,” Surf. Coat. Technol., 206(2–3), pp. 191–201. [CrossRef]
Kerans, R. G., and Parthasarathy, T. A., 1991, “Theoretical Analysis of the Fiber Pullout and Pushout Tests,” J. Am. Ceram. Soc., 74(7), pp. 1585–1596. [CrossRef]
Liu, H. Y., Zhou, L. M., and Mai, Y. W., 1994, “On Fiber Pull-Out With a Rough Interface,” Philos. Mag. A, 70(2), pp. 359–372. [CrossRef]
Parthasarathy, T. A., Marshall, D. B., and Kerans, R. G., 1994, “Analysis of the Effect of Interfacial Roughness on Fiber Debonding and Sliding in Brittle Matrix Composites,” Acta Metall. Mater., 42(11), pp. 3773–3784. [CrossRef]
Chai, Y. S., and Mai, Y. W., 2001, “New Analysis on the Fiber Push-Out Problem With Interface Roughness and Thermal Residual Stresses,” J. Mater. Sci., 36(8), pp. 2095–2104. [CrossRef]
Jiang, L. Y., Huang, Y., Jiang, H., Ravichandran, G., Gao, H. J., Hwang, K. C., and Liu, B., 2006, “A Cohesive Law for Carbon Nanotube/Polymer Interfaces Based on the Van der Waals Force,” J. Mech. Phys. Solids, 54(11), pp. 2436–2452. [CrossRef]
Waters, J. F., Lee, S., and Guduru, P. R., 2009, “Mechanics of Axisymmetric Wavy Surface Adhesion: JKR–DMT Transition Solution,” Int. J. Solids Struct., 46(5), pp. 1033–1042. [CrossRef]
Hutchinson, J. W., and Jensen, H. M., 1990, “Models of Fiber Debonding and Pullout in Brittle Composites With Friction,” Mech. Mater., 9(2), pp. 139–163. [CrossRef]
Gao, Y. C., Mai, Y. W., and Cotterell, B., 1988, “Fracture of Fiber-Reinforced Materials,” J. Appl. Math. Phys., 39(4), pp. 550–572. [CrossRef]
Fu, S. Y., Yue, C. Y., Hu, X., and Mai, Y. W., 2000, “Analyses of the Micromechanics of Stress Transfer in Single- and Multi-Fiber Pull-Out Tests,” Compos. Sci. Technol., 60(4), pp. 569–579. [CrossRef]
Whitney, J. M., and Riley, M. B., 1966, “Elastic Properties of Fiber Reinforced Composite Materials,” AIAA. J., 4(9), pp. 1537–1542. [CrossRef]
Zhang, B. M., Yang, Z., and Sun, X. Y., 2010, “Measurement and Analysis of Residual Stresses in Single Fiber Composite,” Mater. Des., 31(3), pp. 1237–1241. [CrossRef]
Brandstetter, J., Kromp, K., Peterlik, H., and Weiss, R., 2005, “Effect of Surface Roughness on Friction in Fiber-Bundle Pull-Out Tests,” Compos. Sci. Technol., 65(6), pp. 981–988. [CrossRef]
Cox, H. L., 1952, “The Elasticity and Strength of Paper and Other Fibrous Materials,” Br. J. Appl. Phys., 3(3), pp. 72–79. [CrossRef]
Lin, Z., and Li, C. V., 1997, “Crack Bridging in Fiber Reinforced Cementitious Composites With Slip-Hardening Interfaces,” J. Mech. Phys. Solids, 45(5), pp. 763–787. [CrossRef]
Mackin, T. J., Warren, P. D., and Evans, A. G., 1992, “Effects of Fiber Roughness on Interface Sliding in Composites,” Acta Metall. Mater., 40(6), pp. 1251–1257. [CrossRef]
Hampe, A., Kalinka, G., Meretz, S., and Schulz, E., 1995, “An Advanced Equipment for Single—Fibre Pullout Test Designed to Monitor the Fracture Process,” Compos., 26(1), pp. 40–46. [CrossRef]
Francia, C. D., Ward, T. C., and Claus, R. O., 1996, “The Single-Fibre Pullout Test. 1: Review and Interpretation,” Compos. Part A, 27(8), pp. 597–612. [CrossRef]
Huang, Y. L., and Young, R. J., 1996, “Interfacial Micromechanics in Thermoplastic and Thermosetting Matrix Carbon Fiber Composites,” Compos. Part A, 27(10), pp. 973-980. [CrossRef]
Piggott, M. R., 1991, “Failure Processes in the Fibre-Polymer Interphase,” Compos. Sci. Technol., 42(1–3), pp. 57–76. [CrossRef]
Bismarck, A., Menner, A., Kumru, M. E., Sarac, S. A., Bistritz, M., and Schulz, E., 2002, “Poly(Carbazole-co-Acrylamide) Electrocoated Carbon Fibers and Their Adhesion Behavior to an Epoxy Resin Matrix,” J. Mater. Sci., 37(3), pp. 461–471. [CrossRef]
Tsai, K. H., and Kim, K. S., 1996, “The Micromechanics of Fiber Pullout,” J. Mech. Phys. Solids, 44(7), pp. 1147–1177. [CrossRef]
Yue, C. Y., and Cheung, W. L., 1992, “Interfacial Properties of Fiber-Reinforced Composites,” J. Mater. Sci., 27(14), pp. 3843–3855. [CrossRef]
Liu, Y. F., and Kagawa, Y., 1996, “Analysis of Debonding and Frictional Sliding in Fiber-Reinforced Brittle Matrix Composites: Basic Problems,” Mater. Sci. Eng. A, 212(1), pp. 75–86. [CrossRef]
Marshall, D. B., Cox, B. N., and Evans, A. G., 1985, “The Mechanics of Matrix Cracking in Brittle-Matrix Fiber Composites,” Acta Metall., 33(11), pp. 2013–2021. [CrossRef]
Hsueh, C. H., 1995, “Matrix Cracking With Frictional Bridging Fibers in Continuous Fiber Ceramic Composites,” J. Mater. Sci., 30(7), pp. 1781–1789. [CrossRef]
Evans, A. G., and Marshall, D. B., 1989, “The Mechanical Behavior of Ceramic Matrix Composites,” Acta Metall., 37(10), pp. 2567–2583. [CrossRef]


Grahic Jump Location
Fig. 2

Schematics of the loading form of carbon fiber-reinforced epoxy resin matrix composites. (a) Cylindrical model for a single fiber pulling out from the matrix; (b) an infinitesimal carbon fiber element with longitudinal surface roughness.

Grahic Jump Location
Fig. 1

Schematics of a carbon fiber with surface roughness. (a) 3D configuration of the fiber segment with longitudinal surface roughness; (b) cross section of the carbon fiber with circumferentially wavy contour curve; (c) periodically wavy interface in the r-θ plane.

Grahic Jump Location
Fig. 3

The normalized tensile load during the debonding stage versus the debonded fraction for different interface roughness

Grahic Jump Location
Fig. 6

The distributions of carbon fiber axial stress along the fiber length. (a) In the debonded region under a given tensile load; (b) along the whole fiber length with a fixed debonded fraction.

Grahic Jump Location
Fig. 7

The effect of the etching time on the apparent IFSS for cases with different aspect ratios, where the experimental results [28] are shown for comparison

Grahic Jump Location
Fig. 8

The relation of the apparent IFSS versus the carbon fiber's aspect ratio for different interface roughness

Grahic Jump Location
Fig. 4

The whole pull-out process of a carbon fiber-reinforced epoxy resin matrix composite. (a) The relation between the normalized tensile load and the normalized sliding displacement for different interface roughness; (b) amplification of the curves of the tensile load versus sliding displacement in the region of 0≤δ¯≤0.005; (c) amplification of the experimental results [49] of load-displacement curve in the region of 0≤δ¯≤0.1.

Grahic Jump Location
Fig. 5

The effects of the interface roughness on the mechanical behaviors of composites. (a) The debonded fraction β as a function of the roughness ratio Δ/λ under a fixed tensile load; (b) the tensile load σ¯0 varying with the roughness ratio Δ/λ for a given debonded fraction.



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