Abstract
In this chapter, the time-dependent first matrix cracking stress of fiber-reinforced ceramic-matrix composites (CMCs) is investigated using the energy balance approach. The shear-lag model combined with the interface oxidation model, fiber oxidation model, and fiber failure model is adopted to analyze the microstress distributions in fiber-reinforced CMCs. The relationships between the first matrix cracking stress, interface debonding and slip, fiber fracture, and oxidation time and temperature are established. The effects of the fiber volume, the interface shear stress, the interface debonding energy, the fiber Weibull modulus, the fiber strength on the first matrix cracking stress, the interface debonding length, and the fiber broken fraction are analyzed. The first matrix cracking stresses of C/SiC with strong and weak interface bonding after unstressed oxidation at 700 °C in air atmosphere are predicted for different oxidation time.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Ahn BK, Curtin WA (1997) Strain and hysteresis by stochastic matrix cracking in ceramic matrix composites. J Mech Phys Solids 45:177–209. https://doi.org/10.1016/S0022-5096(96)00081-6
Aveston J, Cooper GA, Kelly A (1971) Single and multiple fracture. Properties of fiber composites: conference on proceedings. National Physical Laboratory, IPC, England, pp 15–26
Barsoum MW, Kangutkar P, Wang ASD (1992) Matrix crack initiation in ceramic matrix composites Part I: experiments and test results. Compos Sci Technol 44:257–269. https://doi.org/10.1016/0266-3538(92)90016-V
Brighenti R, Scorza D (2012) A micro-mechanical model for statistically unidirectional and randomly distributed fibre-reinforced solids. Math Mech Solids 17:876–893. https://doi.org/10.1177/1081286512454447
Brighenti R, Carpinteri A, Scorza D (2014) Stress-intensity factors at the interface edge of a partially detached fibre. Theoret Appl Fract Mech 67–68:1–13. https://doi.org/10.1016/j.tafmec.2014.01.005
Budiansky B, Hutchinson JW, Evans AG (1986) Matrix fracture in fiber-reinforced ceramics. J Mech Phys Solids 34(2):167–189. https://doi.org/10.1016/0022-5096(86)90035-9
Casas L, Martinez-Esnaola JM (2003) Modelling the effect of oxidation on the creep behavior of fiber-reinforced ceramic matrix composites. Acta Mater 51:3745–3757. https://doi.org/10.1016/S1359-6454(03)00189-7
Chaudhuri RA (2006) Three-dimensional singular stress field near a partially debonded cylindrical rigid fibre. Compos Struct 72:141–150. https://doi.org/10.1016/j.compstruct.2004.11.017
Chiang YC (2000) On crack-wake debonding in fiber reinforced ceramics. Eng Frac Mech 65:15–28
Cox HL (1952) The elasticity and strength of paper and other fibrous materials. Br J Appl Phys 3(3):72–79
Curtin WA (1991a) Theory of mechanical properties of ceramic matrix composites. J Am Ceram Soc 74(11):2837–2845. https://doi.org/10.1111/j.1151-2916.1991.tb06852.x
Curtin WA (1991b) Theory of mechanical properties of ceramic-matrix composites. J Am Ceram Soc 74:2837–2845. https://doi.org/10.1111/j.1151-2916.1991.tb06852.x
Curtin WA (1993) Multiple matrix cracking in brittle matrix composites. Acta Metal Mater 41:1369–1377. https://doi.org/10.1016/0956-7151(93)90246-O
Gao YC, Mai YW, Cotterell B (1988) Fracture of fiber-reinforced materials. Z Angew Math Phys 39(4):550–572. https://doi.org/10.1007/BF00948962
Guillaumat L, Lamon J (1996) Fracture statistics applied to modelling the non-linear stress-strain behvior in microcomposites: Influence of interfacial parameters. Int J Fract 82:297–316. https://doi.org/10.1007/BF00013235
He M, Hutchinson J (1989) Kinking of a crack out of an interface. J Appl Mech 56:270–278. https://doi.org/10.1115/1.3176078
Lara-Curzio E (1999) Analysis of oxidation-assisted stress-rupture of continuous fiber-reinforced ceramic matrix composites at intermediate temperatures. Compos A 30:549–554. https://doi.org/10.1016/S1359-835X(98)00148-1
Li L (2017a) Modeling first matrix cracking stress of fiber-reinforced ceramic-matrix composites considering fiber fracture. Theoret Appl Fract Mech 92:24–32. https://doi.org/10.1016/j.tafmec.2017.05.004
Li L (2017b) Synergistic effects of temperature and oxidation on matrix cracking in fiber-reinforced ceramic-matrix composites. Appl Compos Mater 24:691–715. https://doi.org/10.1007/s10443-016-9535-y
Li L (2017c) Modeling matrix cracking of fiber-reinforced ceramic-matrix composites under oxidation environment at elevated temperature. Theoret Appl Fract Mech 87:110–119. https://doi.org/10.1016/j.tafmec.2016.11.003
Li L (2017d) Synergistic effects of fiber debonding and fracture on matrix cracking in fiber-reinforced ceramic-matrix composites. Mater Sci Eng A 682:482–490. https://doi.org/10.1016/j.msea.2016.11.077
Li L. (2018). Damage, fracture and fatigue of ceramic-matrix composites. Springer Nature Singapore Pte Ltd., ISBN: 978-981-13-1782-8. https://doi.org/10.1007/978-981-13-1783-5
Li L (2019) Thermomechanical fatigue of ceramic-matrix composites. Wiley-VCH. ISBN: 978-3-527-34637-0. https://onlinelibrary.wiley.com/doi/book/10.1002/9783527822614
Li L, Song Y, Sun Y (2014) Modeling the tensile behaviour of unidirectional C/SiC ceramic-matrix composites. Mech Compos Mater 49:659–672. https://doi.org/10.1007/s11029-013-9382-y
Lissart N, Lamon J (1997) Damage and failure in ceramic matrix minicomposites: experimental study and model. Acta Mater 45:1025–1044. https://doi.org/10.1016/S1359-6454(96)00224-8
Marshall DB, Cox BN (1987) Tensile fracture of brittle matrix composites: influence of fiber strength. Acta Metall 35:2607–2619. https://doi.org/10.1016/0001-6160(87)90260-4
Marshall DB, Cox BN, Evans AG (1985) The mechanics of matrix cracking in brittle-matrix fiber composites. Acta Metall 33(11):2013–2021. https://doi.org/10.1016/0001-6160(85)90124-5
McCartney LN (1987) Mechanics of matrix cracking in brittle-matrix fiber-reinforced composites. Proc R Soc A 409:329–350. https://doi.org/10.1098/rspa.1987.0019
Naslain R (2004) Design, preparation and properties of non-oxide CMCs for application in engines and nuclear reactors: an overview. Compos Sci Technol 64(2):155–170. https://doi.org/10.1016/S0266-3538(03)00230-6
Phoenix SL, Raj R (1992) Scalings in fracture probabilities for a brittle matrix fiber composite. Acta Metal Mater 40:2813–2828. https://doi.org/10.1016/0956-7151(92)90447-M
Rajan VP, Zok FW (2014) Matrix cracking of fiber-reinforced ceramic composites in shear. J Mech Phys Solids 73:3–21. https://doi.org/10.1016/j.jmps.2014.08.007
Romanowicz M (2010) Progressive failure analysis of unidirectional fiber-reinforced polymers with inhomogeneous interphase and randomly distributed fibers under transverse tensile loading. Compos A 41:1829–1838. https://doi.org/10.1016/j.compositesa.2010.09.001
Tvergaard V, Hutchinson JW (2008) Mode III effects on interface delamination. J Mech Phys Solids 56:215–229. https://doi.org/10.1016/j.jmps.2007.04.013
Venkat MR, Mahajan P, Mittal RK (2008) Effect of interfacial debonding and matrix cracking on mechanical properties of multidirectional composites. Compos Interfaces 15(4):379–409. https://doi.org/10.1163/156855408784514739
Yang C (2011) Mechanical characterization and oxidation damage modeling of ceramic matrix composites. PhD thesis. Northwestern Polytechnical University, Xi’an
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Li, L. (2020). Time-Dependent First Matrix Cracking Stress of Ceramic-Matrix Composites at Elevated Temperatures. In: Time-Dependent Mechanical Behavior of Ceramic-Matrix Composites at Elevated Temperatures. Advanced Ceramics and Composites, vol 1. Springer, Singapore. https://doi.org/10.1007/978-981-15-3274-0_1
Download citation
DOI: https://doi.org/10.1007/978-981-15-3274-0_1
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-3273-3
Online ISBN: 978-981-15-3274-0
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)