Modelling of Hysteresis Behavior of Ceramic Matrix Composites

Abstract:

Under cyclic loading, the fiber-reinforced ceramic matrix composites exhibits hysteresis behavior due to the friction stress. When the matrix/fiber debonding occurs, the shear stress is transferred by friction stress on the debond surface. The friction stress is derived from the equilibrium equation of debond fiber in the unit cell. The result indicates that friction shear stress of a single debond fiber can be described by bilinear law due to the static friction and sliding friction. The nonlinear characteristic of friction stress at macro scale attributes to the distribution of the fiber pullout length. The hysteresis loops arise due to the friction stress and the shape is dominated by the evolution of friction during loading/unloading process. The model decoupled the shear stress into two independent terms: the first term represents the shear stress on well bond interface and the second term represents friction shear stress on debond interface. The method developed in this paper is employed to study the hysteresis behavior of C/SiC composite subjected to arbitrary cyclic load. The hysteresis behavior of C/SiC composite is predicted and compared with experimental data.

• Periodical: Key Engineering Materials (Volume 795)
• Pages: 180-187
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.795.180
• Online since: March 2019
• Authors: Xue Feng Teng, Duo Qi Shi*, Xiao Guang Yang
• Keywords: Ceramic Matrix Composites (CMCs), Friction Shear Stress, Hysteresis Behavior

References

[1] Misra A. Composite Materials for Aerospace Propulsion Related to Air and Space Transportation[M]// Lightweight Composite Structures in Transport. (2016).

DOI: 10.1016/b978-1-78242-325-6.00012-8

[2] D.B. MARSHALL †, A. G. EVANS †. Failure Mechanisms in Ceramic-Fiber/Ceramic-Matrix Composites. Journal of the American Ceramic Society 1985; 68(5):225–231.

DOI: 10.1111/j.1151-2916.1985.tb15313.x

[3] Reynaud P. Cyclic fatigue of ceramic-matrix composites at ambient and elevated temperatures[J]. Composites Science & Technology, 1996, 56(7):809-814.

DOI: 10.1016/0266-3538(96)00025-5

[4] Vagaggini E, Domergue J, Evans A G. Relationships between Hysteresis Measurements and the Constituent Properties of Ceramic Matrix Composites: I, Theory[J]. Journal of the American Ceramic Society, 2010, 78(10):2709-2720.

DOI: 10.1111/j.1151-2916.1995.tb08046.x

[5] Domergue J M, Vagaggini E, Evans A G. Relationships between Hysteresis Measurements and the Constituent Properties of Ceramic Matrix Composites: II, Experimental Studies on Unidirectional Materials[J]. Journal of the American Ceramic Society, 1995, 78(10):2721-2731.

DOI: 10.1111/j.1151-2916.1995.tb08047.x

[6] Dwaikat M M S, Spitas C, Spitas V. A model for elastic hysteresis of unidirectional fibrous nano composites incorporating stick-slip. Materials Science & Engineering A 2011; 530(1):349-356.

DOI: 10.1016/j.msea.2011.09.095

[7] Gao X, Fang G, Song Y. Hysteresis loop model of unidirectional carbon fiber-reinforced ceramic matrix composites under an arbitrary cyclic load. Composites Part B Engineering 2014; 56(1):92-99.

DOI: 10.1016/j.compositesb.2013.08.063

[8] Li L, Song Y, Sun Y. Estimate Interface Shear Stress of Unidirectional C/SiC Ceramic Matrix Composites from Hysteresis Loops. Applied Composite Materials 2013; 20(4):693-707.

DOI: 10.1007/s10443-012-9297-0

[9] Krasnobrizha A, Rozycki P, Gornet L, Cosson P. Hysteresis behaviour modelling of woven composite using a collaborative elastoplastic damage model with fractional derivatives. Composite Structures 2016; 158:101-111.

DOI: 10.1016/j.compstruct.2016.09.016

[10] Caputo M, Carcione J M. Hysteresis cycles and fatigue criteria using anelastic models based on fractional derivatives. Rheologica Acta 2011; 50(2):107-115.

DOI: 10.1007/s00397-010-0524-z

[11] Evans A G, Marshall D B. The Mechanical Behavior of Ceramic Matrix Composites[C]// 1989:3593-3641.