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Stress rupture of fiber-reinforced ceramic-matrix composites subjected to different stochastic loading spectrums at intermediate temperatures

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Abstract

In this paper, stress rupture of fiber-reinforced ceramic-matrix composites (CMCs) subjected to different stochastic loading spectrums at intermediate temperatures (600 to 1000 °C) is investigated. Under stress rupture at stress level higher than the first matrix cracking stress, multiple damage mechanisms of matrix cracking, fiber/matrix interface debonding, interphase and fiber oxidation, and fiber fracture are considered to analyze evolution of composite strain. Four different stochastic loading spectrums are considered in the analysis of damage evolution and lifetime of fiber-reinforced CMCs under stress rupture loading. Relationships between stochastic loading stress, frequency, time, interface debonding and oxidation length, fiber failure probability, and stress rupture lifetime are established. Effects of stochastic loading stress and time, fiber volume, matrix crack spacing, interface debonding energy, interface shear stress, and temperature on composite strain, interface debonding and oxidation length, and the fiber failure probability versus time are analyzed. Experimental stress rupture strain and lifetime of SiC/SiC composite under constant stress and stochastic loading spectrums are predicted. When the stochastic loading stress, frequency, and temperature increase, the stress rupture lifetime and the time for the interface complete debonding and oxidation all decrease.

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Abbreviations

ζ :

fiber/matrix interface oxidation length

l d :

fiber/matrix interface debonding length

l c :

matrix crack spacing

r f :

fiber radius

τ i :

fiber/matrix interface shear stress in the slip region

τ f :

fiber/matrix interface shear stress in the oxidation region

ФS :

intact fiber stress

ρ :

shear-lag model parameter

E f :

fiber elastic modulus

E m :

matrix elastic modulus

E c :

composite elastic modulus

α :

coefficient of linear thermal expansion

ΔT:

temperature change from “stress-free” temperature

V :

volume fraction

σ S :

stochastic loading stress

σ R :

matrix cracking characteristic strength

σ mc :

matrix first cracking stress

σ th :

matrix thermal residual stress

Λ:

final nominal matrix crack space

m :

matrix Weibull modulus

ξ d :

fiber/matrix interface debonding energy

w f :

fiber axial displacement

v :

relative displacement between the fiber and the matrix

P :

fiber failure probability

σ c :

fiber characteristic strength

m f :

fiber Weibull modulus

ε c :

composite strain

f:

fiber

m:

matrix

c:

composite

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Acknowledgments

The author wishes to thank the editor and two anonymous reviewers for their helpful comments on an earlier version of the paper.

Funding

The work reported here is supported by the Fundamental Research Funds for the Central Universities (Grant No. NS2019038).

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Authors and Affiliations

  1. College of Civil Aviation, Nanjing University of Aeronautics and Astronautics, No.29 Yudao St., Nanjing, 210016, People’s Republic of China

    Longbiao Li

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Li, L. Stress rupture of fiber-reinforced ceramic-matrix composites subjected to different stochastic loading spectrums at intermediate temperatures. J Aust Ceram Soc 57, 435–458 (2021). https://doi.org/10.1007/s41779-020-00549-y

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