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Acta Aeronautica et Astronautica Sinica ›› 2026, Vol. 47 ›› Issue (2): 232093.doi: 10.7527/S1000-6893.2025.32093

• Solid Mechanics and Vehicle Conceptual Design • Previous Articles     Next Articles

Statistical strength model for ceramic matrix composites in tough-to-brittle transition

Chengpeng YANG1(), Fei JIA2, Jingchao WEI3   

  1. 1.School of Mechanics and Transportation Engineering,Northwestern Polytechnical University,Xi’an 710072,China
    2.School of Mechano-Electronic Engineering,Xidian University,Xi’an 710071,China
    3.National Key Laboratory of Strength and Structural Integrity,Aircraft Strength Research Institute of China,Xi’an 710065,China
  • Received:2025-04-07 Revised:2025-07-06 Accepted:2025-07-10 Online:2025-07-16 Published:2025-07-15
  • Contact: Chengpeng YANG E-mail:yang@mail.nwpu.edu.cn
  • Supported by:
    National Natural Science Foundation of China(12472142);Natural Science Foundation of Shaanxi Province(2024JC-YBMS-308)

Abstract:

Continuous fiber-reinforced composites usually present the problem of tough-to-brittle transition, which is of great significance for the interface design and overall performance evaluation of composites. Based on the elastic-mechanics solution of the fiber stress field, the shear-lag theory and the statistical analysis method of fiber random fracture probability, and meanwhile considering the stress concentration effect on fiber surface, a statistical tensile strength model for tough-to-brittle transition of continuous fiber-reinforced Ceramic Matrix Composites (CMCs) was established under two failure modes, namely single-crack mode and multi-crack mode. The analysis and calculation results with 2D-C/SiC composites show that the tensile strength is sensitive to the interfacial slip resistance; with the increase of interfacial slip stress, the fiber stress concentration effect is enhanced and the predicted value of the tensile strength firstly rises and then decreases. In comparison, the predicted tensile strength under the single-crack mode is significantly higher than that under the multi-crack mode, but the variation trend of the prediction with the interfacial slip stress is similar in the two modes. Under the single-crack mode, when considering the contribution of broken-fiber pullout stress to the overall load carrying capacity of CMCs, the model predicted tensile strength value is significantly higher, and the tensile strength continues to increase with the increase of the pullout coefficient. It is shown that the strength predictions of the developed model by this work are in good agreement with the experimental data in the literature, which demonstrates the rationality and accuracy of the theoretical model.

Key words: ceramic matrix composites, statistical strength model, interface debonding, matrix cracking, tensile strength

CLC Number: