Ultra-High-Temperature Plastic Constitutive Relations of Carbon Fiber Reinforced Silicon Carbide Minicomposites: Experiment and Modeling

LI Siru; JI Honglei; MA Zhiqi; CHENG Tianbao; CHEN Liming

doi:10.21656/1000-0887.460072

Volume 47 Issue 5

May 2026

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2026 > 47(5): 541-549

LI Siru, JI Honglei, MA Zhiqi, CHENG Tianbao, CHEN Liming. Ultra-High-Temperature Plastic Constitutive Relations of Carbon Fiber Reinforced Silicon Carbide Minicomposites: Experiment and Modeling[J]. Applied Mathematics and Mechanics, 2026, 47(5): 541-549. doi: 10.21656/1000-0887.460072

Citation:

PDF( 2512 KB)

Ultra-High-Temperature Plastic Constitutive Relations of Carbon Fiber Reinforced Silicon Carbide Minicomposites: Experiment and Modeling

doi: 10.21656/1000-0887.460072

College of Aerospace Engineering, Chongqing University, Chongqing 400030, P.R. China

Funds:

The National Science Foundation of China(12027901；12272069；11802019)

Received Date: 2025-04-10
Rev Recd Date: 2025-05-01

Available Online: 2026-06-04

Publish Date: 2026-05-01

Abstract

Abstract

Advanced ceramic matrix composites have excellent properties, such as resistance to ultra-high temperatures and corrosion, as well as high specific strength and stiffness. They are important candidates for thermal protection materials and structures of new-generation hypersonic vehicles. However, ceramic matrix composites have complex microstructures and various damage mechanisms, which make the study of their constitutive relations challenging. Minicomposites are the critical link in the multi-scale study of ceramic matrix composites. The study on their mechanical behaviors is important to the development and evaluation of security and reliability of advanced ceramic matrix composites. The tensile properties of C/PyC/SiC minicomposites were measured at 2 200 ℃ in inert atmospheres for the first time based on the indirect induction heating technology. The plastic deformation behaviors of ceramic matrix composites under ultra-high-temperature extreme environments were revealed. The random cracking of matrix was characterized by a 3-parameter Weibull model. The stress distributions of fiber and matrix were calculated based on the slip-lag model. The effects of ultra-high-temperature nonlinear deformation of fiber bundles and residual thermal stresses in the composites were characterized. An ultra-high-temperature plastic mesoscale constitutive model was established for C/PyC/SiC minicomposites and verified. The study is useful for the development of mechanics for ceramic matrix composites and provides experimental and theoretical supports for the reliability evaluation and life prediction of ceramic matrix composites on the hypersonic vehicles.
- ceramic matrix composite,
- ultra-high-temperature extreme environment,
- plastic constitutive relation

FullText(HTML)

References(20)

References

[2]CHENG T, LI W, FANG D. Thermal shock resistance of ultra-high-temperature ceramics under aerodynamic thermal environments[J].AIAA Journal,2013,51(4): 840-848.

李卫国, 成天宝, 张如炳, 等. 应力降低因子和陶瓷材料抗热冲击阻力参数的性质及适用条件[J]. 应用数学和力学, 2012,33(11): 1257-1265.

(LI Weiguo, CHENG Tianbao, ZHANG Rubing, et al. Properties and appropriate conditions of stress reduction factor and thermal shock resistance parameters for ceramics[J].Applied Mathematics and Mechanics,2012,33(11): 1257-1265. (in Chinese))

[3]常宛云, 崔红, 邓红兵, 等. C/C-SiC复合材料制备技术及其在航空航天领域的应用[J]. 炭素, 2015(4): 11-17.(CHANG Wanyun, CUI Hong, DENG Hongbing, et al. Fabrication of C/C-SiC composite and its applications in aerospace field[J].Carbon,2015(4): 11-17. (in Chinese))

[4]刘巧沐, 黄顺洲, 何爱杰. 碳化硅陶瓷基复合材料在航空发动机上的应用需求及挑战[J]. 材料工程, 2019,47(2): 1-10.(LIU Qiaomu, HUANG Shunzhou, HE Aijie. Application requirements and challenges of CMC-SiC composites on aero-engine[J].Journal of Materials Engineering,2019,47(2): 1-10. (in Chinese))

[5]杜昆, 陈麒好, 孟宪龙, 等. 陶瓷基复合材料在航空发动机热端部件应用及热分析研究进展[J]. 推进技术, 2022,43(2): 107-125.(DU Kun, CHEN Qihao, MENG Xianlong, et al. Advancement in application and thermal analysis of ceramic matrix composites in aeroengine hot components[J].Journal of Propulsion Technology,2022,43(2): 107-125. (in Chinese))

[6]PETERS A B, ZHANG D, CHEN S, et al. Materials design forhypersonics[J].Nature Communications,2024,15: 3328.

[7]张永正, 刘磊, 刘琦, 等. C/SiC编织型复合材料热/力学性能的多尺度预测[J]. 应用数学和力学, 2023,44(10): 1157-1171.(ZHANG Yongzheng, LIU Lei, LIU Qi, et al. Multi-scale prediction of thermal and mechanical properties of C/SiC braided composites[J].Applied Mathematics and Mechanics,2023,44(10): 1157-1171. (in Chinese))

[8]CHEN X, SUN Z, NIU X, et al. In situ investigation of tensile behavior of C_f/SiC mini composites[J].International Journal of Applied Ceramic Technology,2021,18(5): 1677-1690.

[9]NAGARAJA A M, GURURAJA S, UDAYAKUMAR A. Tensile behavior of ceramic matrix minicomposites with engineered interphases fabricated by chemical vapor infiltration[J].Journal of the European Ceramic Society,2022,42(6): 2659-2671.

[11]SOLTI J P, MALL S, ROBERTSON DD. Modeling damage in unidirectional ceramic-matrix composites[J].Composites Science and Technology,1995,54(1): 55-66.

ZHAO D, GUO T, FAN X, et al. Effect of pyrolytic carbon interphase on mechanical properties of mini T800-C/SiC composites[J].Journal of Advanced Ceramics,2021,10(2): 219-226.

[12]ZHANG S, GAO X, CHEN J, et al. Strength model of the matrix element in SiC/SiC composites[J].Materials & Design,2016,101: 66-71.

[13]LI J, LIU J, WANG B, et al. Tensile damage evolution of unidirectional ceramic matrix composites under thermal stress[J].Ceramics International,2024,50(21): 43500-43512.

[14]SAUDER C, LAMON J, PAILLER R. The tensile behavior of carbon fibers at high temperatures up to 2 400 ℃[J].Carbon,2004,42(4): 715-725.

[15]CHENG T. Ultra-high-temperature mechanical behaviors of two-dimensional carbon fiber reinforced silicon carbide composites: experiment and modeling[J].Journal of the European Ceramic Society,2021,41(4): 2335-2346.

[16]CURTIN W A, AHN B K, TAKEDA N. Modeling brittle and tough stress-strain behavior in unidirectional ceramic matrix composites[J].Acta Materialia,1998,46(10): 3409-3420.

[17]AHN B K, CURTIN W A. Strain and hysteresis by stochastic matrix cracking in ceramic matrix composites[J].Journal of the Mechanics and Physics of Solids,1997,45(2): 177-209.

[18]CHATEAU C, GLBART L, BORNERT M, et al. Modeling of damage in unidirectional ceramic matrix composites and multi-scale experimental validation on third generationSiC/SiC minicomposites[J].Journal of the Mechanics and Physics of Solids,2014,63: 298-319.

[19]PRYCE A W, SMITH P A. Matrix cracking in unidirectional ceramic matrix composites under quasi-static and cyclic loading[J].Acta Metallurgica et Materialia,1993,41(4): 1269-1281.

[20]GOLDBERG R K, ALMANSOUR A S, SULLIVAN R M. Analytical simulation of effects of local mechanisms on tensile response of ceramic matrix minicomposites[J].Journal of the European Ceramic Society,2022,42(15): 6846-6864.

Relative Articles

Supplements(0)

Cited By

Proportional views