Abstract
In this work, the life prediction of C/SiC composites subjected to stochastic load spectra with hold cycles is investigated using a damage-based micromechanical model. Relationships between the fiber’s architecture (i.e., 1D unidirectional, 2D crossply and plain-woven, 2.5D woven, and 3D braided), stochastic load spectra, hold cycles, fiber-fragmentation probability (FFP), and composite fatigue-life degradation rate (FFDR) are established. Experimental FFDR and FFP in different C/SiC composites are predicted. Under the low fatigue peak stress, the FFDR is the highest during increasing stochastic stress for 1D and 3D C/SiC and is the highest during decreasing stochastic stress for 2D and 2.5D C/SiC. Under the high fatigue peak stress, the FFDR is the highest during decreasing stochastic stress for 1D, 2D, 2.5D and 3D C/SiC. The FFDR at the constant stochastic stress level is the lowest under the low or high fatigue peak stress.
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The data used to support the findings of this study are available from the paper.
Abbreviations
- \(\alpha\) :
-
ratio of fiber to matrix volume content
- \(E_{\mathrm{f}}\) :
-
fiber elastic modulus
- \(\Gamma _{\mathrm{i}}\) :
-
interface debonding energy
- \(\sigma_{\mathrm{f}\_\mathrm{R}}\) :
-
fiber characteristic strength
- \(\sigma _{\mathrm{s}}\) :
-
stochastic overloading stress
- \(\sigma_{\mathrm{f}\_\mathrm{bonding}}\) :
-
fiber axial stress in the interface bonding region
- \(\sigma_{\mathrm{m}\_\mathrm{R}}\) :
-
matrix characteristic cracking stress
- \(\Psi _{\mathrm{s}}\) :
-
undamaged fiber stress
- \(\Psi _{\mathrm{b}}\) :
-
damaged fiber stress
- \(\tau_{\mathrm{i}\_\mathrm{N}}\) :
-
interface shear stress at Nth cycle
- \(L_{\mathrm{debonding}}\) :
-
interface debonding length
- \(L_{\mathrm{cracking}}\) :
-
matrix fragmentation length
- \(L_{\mathrm{sat}}\) :
-
saturation matrix fragmentation length
- \(\mu \) :
-
shear-lag model parameter
- \(\chi \) :
-
ratio of matrix to composite elastic modulus
- \(\varphi \) :
-
interface shear-stress degradation ratio
- \(\psi \) :
-
effective fiber-volume coefficient
- \(m\) :
-
matrix Weibull modulus
- \(m_{\mathrm{f}}\) :
-
fiber Weibull modulus
- \(P_{\mathrm{f}}\) :
-
fiber failure probability
- \(\Theta \) :
-
degradation rate of interface shear stress
- \(\Omega \) :
-
degradation rate of fiber strength
- \(\Lambda \) :
-
life-degradation rate
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Acknowledgements
The work reported here is supported by the Fundamental Research Funds for the Central Universities of China (Grant No. NS2019038). The author also wishes to thank two anonymous reviewers and editors for their helpful comments on an earlier version of the paper.
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Li, L. Cyclic-fatigue life prediction in C/SiC composites subjected to stochastic load spectra with hold cycles. Mech Time-Depend Mater 27, 843–874 (2023). https://doi.org/10.1007/s11043-022-09546-z
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DOI: https://doi.org/10.1007/s11043-022-09546-z