Title: A Non-Saturation Approach for Obtaining the Fiber-Matrix (F-M) Interfacial Shear Strength in Glass Fiber Composites

Authors: Gale A. Holmes and Louise A. Powell

DOI: 10.33599/nasampe/c.24.0319

Abstract: The single fiber fragmentation test (SFFT) as currently devised involves the repeated fracture of a fiber embedded in a matrix dogbone specimen until the fragmentation process ceases (saturation). The average fragment length (〈l_f 〉) obtained from this test procedure is then used in a shear-lag model to determine the fiber-matrix (F-M) interfacial shear strength (IFSS) (τ_IFSS). This testing methodology has many issues that have precluded it from becoming a standardized test method. In 1991 Galiotis et al. developed a model-independent non-saturation approach for obtaining the F-M IFSS in SFFT specimens composed of Raman active fibers by directly measuring the strain in the deformed fiber. In addition to showing that the fiber strain profile best fit the Cox shear-lag model, their F-M IFSS values, which they termed τ_ISS exceeded the yield stress of the epoxy matrix. In this paper, a non-saturation approach is put forth to obtain the F-M IFSS for Raman inactive glass fiber composites based on the average strain in the fiber (τ_〈ISS〉 ). A slight modification of the Cox shear-lag model is required along with the observation that the thermoset matrix that is used deforms in a nonlinear anelastic manner.

References: [1] Fraser WA, Ancker FH, DiBenedetto AT. ""A Computer Modeled, Single Filament Technique for Measuring Coupling and Sizing Agent Effects in Fiber Reinforced Composites"". The Society of the Plastics Industry, Inc.; 1975. p. 1-13. [2] Drzal LT, Rich MJ, Camping JD, Park WJ. ""Interfacial Shear Strength and Failure Mechanisms in Graphite Fiber Composites"". Reinforced Plastics/Composites Institute and The Society of the Plastics Industry, Inc.; 1980. p. 1-7. [3] Kelly A, Tyson WR. ""Fiber-Strengthened Materials"". In: Zackay VF, editor. High-Strength Materials. New York: John Wiley & Sons, Inc.; 1965. p. 578-602. [4] Hui CY, Phoenix SL, Shia D. ""The single-filament-composite test: A new statistical theory for estimating the interfacial shear strength and Weibull parameters for fiber strength"". Composites Science and Technology. 1997;57(12):1707-25. [5] Cox HL. ""The Elasticity and Strength of Paper and Other Fibrous Materials"". Brit J Appl Phys. 1952;3:72-9. https://doi.org/10.1088/0508-3443/3/3/302 [6] Lifshitz JM, Rotem A. ""Time-Dependent Longitudinal strength of Unidirectional Fibrous Composites"". Fibre Science & Technology. 1970;3(1):1-20. https://doi.org/10.1016/0015-0568(70)90023-0 [7] McDonough WG, Holmes GA, Peterson RC. ""Interface Adhesion of E-glass Fibers in Model Polyisocyanurate Networks"". Am. Soc. for Composites; 1998. p. 1688-99. [8] Hunston DL, Holmes GA, Peterson R. ""Viscoelastic Properties of a Resin Commonly Used in the Single Fiber Fragmentation Test"". Journal of Reinforced Plastics and Composites. 1999;18(18):1646-57. https://doi.org/10.1177/073168449901801801 [9] Drzal LT, Rich MJ, Lloyd PF. ""Adhesion of Graphite fibers to Epoxy Matrices: 1. The Role of Fiber Surface Treatments"". Journal of Adhesion. 1983;16(1):1-30. https://doi.org/10.1080/00218468308074901 [10] Shibley AM. ""Filament Winding"". In: Lubin G, editor. Handbook of Composites. New York: Van Nostrand Reinhold Company Inc.; 1982. p. 449-78. https://doi.org/10.1007/978-1-4615-7139-1_16 [11] Holmes GA, Peterson RC, Hunston DL, McDonough WG, Schutte CL. ""The Effect of Nonlinear Viscoelasticity on Interfacial Shear Strength Measurements"". In: Schapery RA, editor. Time Dependent and Nonlinear Effects in Polymers and Composites: ASTM; 2000. p. 98-117. https://doi.org/10.1520/STP15831S [12] Galiotis C. ""Interfacial Studies on Model Composites by Laser Raman-Spectroscopy"". Composites Science and Technology. 1991;42(1-3):125-50. https://doi.org/10.1016/0266-3538(91)90015-h [13] Asloun EM, Nardin M, Schultz J. ""Stress Transfer in Single-Fibre Composites: Effect of Adhesion, Elastic Modulus of Fibre and Matrix, and Polymer Chain Mobility"". Journal of Materials Science. 1989;24:1835-44. https://doi.org/10.1007/BF01105713 [14] Pitkethly MJ, Favre JP, Gaur U, et al. ""A Round-Robin Programme on Interfacial Test Methods"". Composites Science and Technology. 1993;48(1-4):205-14. https://doi.org/10.1016/0266-3538(93)90138-7 [15] Rich MJ, Drzal LT, Hunston D, Holmes G, Mcdonough WG. ""Round Robin Assessment of the Single Fiber Fragmentation Test"". In: Sun CT, editor. Proceedings of the American Society for Composites 17th Technical Conference. Purdue University West Lafayette, Indiana: American Society for Composites; 2002. p. Paper 158. https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=860441 [16] Lodeiro MJ. ""Investigation of PMC Interface Properties Using the Single-Fibre Fragmentation Technique"". Teddington, Middlesex: National Physical Laboratory: The Materials Centre; 2001. p. 1-75. https://eprintspublications.npl.co.uk/2010/1/MATC16.pdf [17] Waterbury MC, Drzal LT. ""On the Determination of Fiber Strengths by In-Situ Fiber Strength Testing"". Journal of Composites Technology & Research. 1991;13(1):22-8. https://doi.org/10.1520/CTR10070J [18] Baillie CA, Bader MG. ""Strength studies of single carbon-fibers in model composite fragmentation tests"". Composites. 1994;25(6):401-6. https://doi.org/10.1016/0010-4361(94)90095-7 [19] Dibenedetto AT, Gurvich MR, Ranade SV. ""On in-situ evaluation of fibre strength distribution"". Journal of Materials Science Letters. 1997;16(22):1791-2. https://doi.org/10.1023/a:1018500214610 [20] Melanitis N, Galiotis C, Tetlow PL, Davies CKL. ""Interfacial Shear Stress Distribution in Model Composites - The Effect of Fiber Modulus"". Composites. 1993;24(6):459-66. https://doi.org/10.1016/0010-4361(93)90015-Z [21] Piggott MR. Load-Bearing Fibre Composites. 1st ed. Oxford: Pergamon Press; 1980. https://doi.org/10.1016/C2013-0-05885-9 [22] Amirbayat J, Hearle JWS. ""Properties of Unit Composites As Determined by the Properties of the Interface. Part I: Mechanism of Matrix-Fibre Load Transfer"". Fibre Science & Technology. 1969;2:123-41. https://doi.org/10.1016/0015-0568(69)90004-9 [23] Jahankhani H, Galiotis C. ""Interfacial Shear-Stress Distribution in Model Composites, Part 1: A Kevlar-49 Fibre in an Epoxy Matrix"". Journal of Composite Materials. 1991;25(5):609-31. https://doi.org/10.1177/002199839102500508 [24] Bascom WD, Jensen RM. ""Stress Transfer in Single Fiber/Resin Tensile Tests"". Journal of Adhesion. 1986;19(3-4):219-39. https://doi.org/10.1080/00218468608071225 [25] Young RJ, Thongpin C, Stanford JL, Lovell PA. ""Fragmentation analysis of glass fibres in model composites through the use of Raman spectroscopy"". Composites Part a-Applied Science and Manufacturing. 2001;32(2):253-69. https://doi.org/10.1016/s1359-835x(00)00091-9 [26] Hejda M, Kong K, Young RJ, Eichhorn SJ. ""Deformation micromechanics of model glass fibre composites"". Composites Science and Technology. 2008;68(3-4):848-53. https://doi.org/10.1016/j.compscitech.2007.08.011 [27] Zhao Q, Wagner HD. ""Raman spectroscopy of carbon-nanotube-based composites"". Philosophical Transactions of the Royal Society a-Mathematical Physical and Engineering Sciences. 2004;362(1824):2407-24. https://doi.org/10.1098/rsta.2004.1447 [28] Holmes GA, Peterson RC, Hunston DL, McDonough WG. ""E-Glass/DGEBA/m-PDA single fber cmposites: Interface debonding during fiber fracture"". Polymer Composites. 2007;28(5):561-74. https://doi.org/10.1002/pc.20186 [29] Woodcock JW, Sheridan RJ, Beams R, et al. ""Damage Sensing Using a Mechanophore Crosslinked Epoxy Resin in Single-Fiber Composites"". Composites Science and Technology. 2020. https://doi.org/10.1016/j.compscitech.2020.108074 [30] Bowden PB. ""The Yield Behaviour of Glassy Polymers"". In: Haward RN, editor. The Physics of Glassy Polymers. Dordrecht: Springer Netherlands; 1973. p. 279-339. https://doi.org/10.1007/978-94-010-2355-9_6 [31] Stachurski ZH. ""Deformation mechanisms and yield strength in amorphous polymers"". Progress in Polymer Science. 1997;22(3):407-74. https://doi.org/10.1016/s0079-6700(96)00024-x [32] Thomson KW, Broutman LJ. ""Strain softening in an epoxy resin"". Journal of Materials Science. 1982;17(9):2700-8. https://doi.org/10.1007/bf00543907 [33] Kody RS, Lesser AJ. ""Deformation and yield of epoxy networks in constrained states of stress"". Journal of Materials Science. 1997;32(21):5637-43. https://doi.org/10.1023/a:1018693028394 [34] Feillard P, Desarmot G, Favre JP. ""A Critical-Assessment of the Fragmentation Test for Glass Epoxy Systems"". Composites Science And Technology. 1993;49(2):109-19. https://doi.org/10.1016/0266-3538(93)90050-Q [35] Feillard P, Rouby D, Desarmot G, Favre JP. ""Limits of Conventional Micromechanical Analysis of Interface Properties in Glass Epoxy Model Composites"". Materials Science and Engineering A-Structural Materials Properties Microstructure and Processing. 1994;188(1-2):159-66. https://doi.org/10.1016/0921-5093(94)90368-9 [36] Kim JH, Leigh SD, Holmes G. ""E-Glass/DGEBA/m-PDA Single Fiber Composites: New Insights into the Statistics of Fiber Fragmentation"". Journal of Polymer Science Part B. 2009;47(23):2301-12. https://doi.org/10.1002/polb.21818 [37] Curtin WA. ""Exact Theory of Fiber Fragmentation in a Single-Filament Composite"". Journal of Materials Science. 1991;26(19):5239-53. https://doi.org/10.1007/BF01143218 [38] Holmes G, Wesson S, McDonough WG, et al. ""An Automated Tensile Testing Machine for Monitoring the Evolution of Fiber Breaks"". Journal of Materials Science. 2009;44(8):2007-15. https://doi.org/10.1007/s10853-009-3294-1 [39] Powell LAA, Sheridan RJ, Yucel S, et al. ""Snappy: A New Automated Testing Machine for Monitoring the Break Evolution Process during Single Fiber Fragmentation Test"". Experimental Techniques. 2023;47:1073-84. https://doi.org/10.1007/s40799-022-00611-3 [40] Powell LAA, Sheridan RJ, Yucel S, et al. ""Snappy: A New Automated Testing Machine for Monitoring the Break Evolution Process during Single Fiber Fragmentation Test (Aug, 10.1007/s-40799-022-00611-3, 2022)"". Experimental Techniques. 2023;47(2):549-. https://doi.org/10.1007/s40799-022-00620-2 [41] Galiotis C, Young RJ, Yeung PHJ, Batchelder DN. ""The Study of Model Polydiacetylene Epoxy Composites .1. the Axial Strain in the Fiber"". Journal of Materials Science. 1984;19(11):3640-8. https://doi.org/10.1007/BF02396936 [42] Li ZF, Grubb DT, Phoenix SL. ""Fiber Interactions in the Multifiber Composite Fragmentation Test"". Composites Science and Technology. 1995;54(3):251-66. https://doi.org/10.1016/0266-3538(95)00056-9 [43] Stachurski ZH. ""Yield strength and anelastic limit of amorphous ductile polymers Part 1 Amorphous structure and deformation"". Journal of Materials Science. 1986;21(9):3231-6. https://doi.org/10.1007/BF00553361 [44] Woodcock JW, Stranick SJ, Kotula AP, et al. ""Reaction-Induced structural and compositional heterogeneity in amine-cured epoxy/epoxy thermosets: Visualization of heterogeneity using fluorescence lifetime imaging microscopy (FLIM)"". Polymer. 2023;273. https://doi.org/10.1016/j.polymer.2023.125826 [45] Kotula AP, Woodcock JW, Gilman JW, Holmes GA. ""A cure kinetics investigation of amine-cured epoxy by Rheo-Raman spectroscopy"". Polymer. 2023;278:125967. https://doi.org/10.1016/j.polymer.2023.125967

Conference: CAMX 2024 | San Diego CA

Publication Date: 2024/9/9

SKU: TP24-0000000319

Pages: 16

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