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The Constitutive Model of a Unidirectional SiC Fiber-Reinforced Titanium Matrix Composite During Spectrum Loading

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Abstract

An approach to simulate the constitutive model of a unidirectionally SiC fiber-reinforced titanium matrix composite during spectrum loading was developed in this paper. Based on the assumption that there is a microcrack in the matrix and the maximum shear stress criterion, the debonding length and the distribution of interfacial slip zone under spectrum loading were derived. The stress at a loading point was divided into four stages including crack opening section, positive slip zone, reverse slip zone, and bond zone. Based on the partial crack shear-lag model, the stress of fiber and matrix in the four stages was derived, and the constitutive model of the composite under spectrum loading was established. At last, the effects of different damages on the constitutive model and interfacial debonding zone of a unidirectionally SiC fiber-reinforced titanium matrix composite were investigated.

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Acknowledgments

This work was supported by the National Basic Research Program of China, the National Natural Science Foundation of China [grant number 51675266]; the Postgraduate Research & Practice Innovation Program of Jiangsu Province [grant number KYCX18_0314]; the Fundamental Research Funds for the Central Universities [grant number NJ20160038]; the Jiangsu Province Key Laboratory of Aerospace Power System [grant number CEPE2019004] are gratefully acknowledged; and the Jiang Planned Projects for Postdoctoral Research Funds [grant number 2019K029].

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Authors and Affiliations

  1. State Key Laboratory of Mechanics and Control Mechanical Structures, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, P. R. China

    Yingdong Song

  2. Jiangsu Province Key Laboratory of Aerospace Power System, College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, P. R. China

    Yan Liu, Zhigang Sun, Xuming Niu, Xihui Chen, Yingdong Song & Pengjian Zou

  3. Key Laboratory of Aero-Engine Thermal Environment and Structure, Ministry of Industry and Information Technology, 210016, Nanjing, P. R. China

    Zhigang Sun & Yingdong Song

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  1. Yan Liu
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  2. Zhigang Sun
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  3. Xuming Niu
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  4. Xihui Chen
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Correspondence to Zhigang Sun.

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Liu, Y., Sun, Z., Niu, X. et al. The Constitutive Model of a Unidirectional SiC Fiber-Reinforced Titanium Matrix Composite During Spectrum Loading. Appl Compos Mater 28, 1019–1037 (2021). https://doi.org/10.1007/s10443-021-09881-3

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