Modeling for cyclic loading/unloading hysteresis loops of carbon fiber-reinforced ceramic-matrix composites at room and elevated temperatures. Part I: Theoretical analysis
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The hysteresis loops models have been developed based on the Coulomb friction law instead of a constant frictional shear stress usually assumed in hysteresis analysis.

Based on the damage mechanism of fiber slipping relative to matrix, the interface slip lengths are obtained by the fracture mechanics approach.

The effects of matrix stochastic cracking, fiber volume fraction, interface properties and fiber Poisson ratio on hysteresis loops, interface slip lengths and interface slip stresses have been analyzed.

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