Simulation of residual thermal stresses in high-porous fibrous silicon nitride ceramics

  • L.N. Rabinsky
  • E.L. KuznetsovaEmail author

The residual thermal stresses induced in high-porous fibrous silicon nitride ceramics with fine reinforcement inclusions have been computed within numerical experiment. The computations have been performed employing a coupled transient linear thermoelastic problem. The initial state characterized by zero internal stresses is observed when the material is synthesized at high temperatures. Three-dimensional representative fragments of fibrous structures generated with stochastic algorithms accounting for the set microstructural parameters have been used for the simulation. The effect of the volume content and size of reinforcement as silicon carbide spherical inclusions on residual thermal stresses has been demonstrated. The simulations show that the residual stresses are commonly higher than the ultimate strength of the porous materials under study.


residual thermal stresses silicon nitride coupled thermoelastic problem spherical inclusion composite high-porous fibrous matrix 



The research effort was funded under the Federal Target Program ‘Research and Development in Priority Areas of Science and Technology of Russia for 2014–2020’, Agreement No. 14.574.21.0166 (Unique Identifier RFMEFI57417X0166).


  1. 1.
    Z. Krstic and V.D. Krstic, “Silicon nitride: the engineering material of the future,” J. Mater. Sci., 47, 535–552 (2012).CrossRefGoogle Scholar
  2. 2.
    S. Somiya, Handbook of Advanced Ceramics: Materials, Applications, Processing, and Properties, Salt Lake City, USA (2013), URL: publication/291156581_Handbook_of Advanced Ceramics: Materials, Applications, Processing, and Properties.
  3. 3.
    S.J. Rodrigues, R.P. Chartoff, D.A. Klosterman, M. Agarwala, and N. Hecht, “Solid freeform fabrication of functional silicon nitride ceramics by laminated object manufacturing,” in: Proc. Solid Freeform Fabrication (SFF) Symposium, Texas, USA (2000), pp. 1–8.Google Scholar
  4. 4.
    H.-C. Liu, S. Lee, S. Kang, C.F. Edwards, and F.B. Prinz, “RP of SiN burner arrays via assembly mould SDM,” Rapid Prototyping J., 10, No. 4, 239–246 (2004).CrossRefGoogle Scholar
  5. 5.
    S. Iyer, J. McIntosh, A. Bandyopadhyay, N. Langrana, A. Safari, S.C. Danforth, and P.J. Whalen, “Microstructural characterization and mechanical properties of Si3N4 formed by fused deposition of ceramics,” Int. J. Appl. Ceram. Technol., 5, No. 2, 127–137 (2008).CrossRefGoogle Scholar
  6. 6.
    B. Cappi, E. Özkol, J. Ebert, and R. Telle, “Direct inkjet printing of Si3N4: Characterization of ink, green bodies and microstructure,” J. Eur. Ceram. Soc., 28, No. 13, 2625–2628 (2008).CrossRefGoogle Scholar
  7. 7.
    B. Cappi, J. Ebert, and R. Telle, “Rheological properties of aqueous Si3N4 and MoSi2 suspensions tailormade for direct inkjet printing,” J. Amer. Ceram. Soc., 94, No. 1, 111–116 (2011).CrossRefGoogle Scholar
  8. 8.
    X. Li, L. Zhang, and X. Yin, “Effect of chemical vapor infiltration of Si3N4 on the mechanical and dielectric properties of porous Si3N4 ceramic fabricated by a technique combining 3D printing and pressureless sintering,” Scripta Mater., 67, No. 4, 380–383 (2012).CrossRefGoogle Scholar
  9. 9.
    X. Li, L. Zhang, and X. Yin, “Microstructure and mechanical properties of three porous Si3N4 ceramics fabricated by different techniques,” Mater. Sci. Eng. A, 549, 43–49 (2012).CrossRefGoogle Scholar
  10. 10.
    W. Duan, X. Yin, F. Cao, F. Jia, Y. Xie, P. Greil, and N. Travitzky, “Absorption properties of twinned SiC nanowires reinforced Si3N4 composites fabricated by 3d-printing,” Mater. Lett., 159, 257–260 (2015).CrossRefGoogle Scholar
  11. 11.
    S. Liu, F. Ye, L. Liu, and Q. Liu, “Feasibility of preparing of silicon nitride ceramics components by aqueous tape casting in combination with laminated object manufacturing,” Mater. Des., 66, 331–335 (2015).CrossRefGoogle Scholar
  12. 12.
    L. Rabinskiy, “Fabrication of porous silicon nitride ceramics using binder jetting technology,” Inst. Phys. (IOP) Conf. Ser.: Mater. Sci. Eng., 140, No. 1, 012–023 (2016).Google Scholar
  13. 13.
    I. Gibson, D. Rosen, and B. Stucker, “Additive manufacturing technologies: 3D printing, rapid prototyping, and direct digital manufacturing: 2nd ed.,” Johnson Matthey Technol. Rev., 59, No. 3, 193–198 (2015).CrossRefGoogle Scholar
  14. 14.
    Q. Liu, Z. Lu, Z. Hu, and J. Li, “Finite element analysis on tensile behavior of 3D random fibrous materials: Model description and meso-level approach,” Mater. Sci. Eng., 587, 36–45 (2013).CrossRefGoogle Scholar
  15. 15.
    Z. Lu, Q. Liu, H. Han, and D. Zhang, “Experiment and modeling on the compressive behaviors for porous silicon nitride ceramics,” Mater. Sci. Eng., 559, 201–209 (2013).CrossRefGoogle Scholar
  16. 16.
    W.W. Sampson, Modelling Stochastic Fibrous Materials with Mathematica, Chemical Vapor Deposition, London (2009), p. 277.Google Scholar
  17. 17.
    S.G. Advani, “The use of tensors to describe and predict fiber orientation in short fiber composites,” J. Rheol., 31, No. 8, 751–784 (1987).CrossRefGoogle Scholar
  18. 18.
    S. Lurie, D. Volkov-Bogorodskiy, Y. Solyaev, R. Rizahanov, and L. Agureev, “Multiscale modelling of aluminum-based metal–matrix composites with oxide nanoinclusions,” Comput. Mater. Sci., 116, 62–73 (2016).CrossRefGoogle Scholar
  19. 19.
    T.A. Alexandrova, D.V. Gorlenkov, and N.A. Romanova, “Researching of influence of tungsten, silicon and impurities oxidation on electrolytic dissolution of Cu–Zn and Fe–Ni–Co anodes,” Periódico Tchê Química, 14, No. 28, 9–18 (2017).Google Scholar
  20. 20.
    L. Rabinskiy, Y. Solyaev, S.A. Sitnikov, and E.L. Kuznetsova, “Numerical modeling of residual thermal stresses in Si3N4 based high-porous fibrous ceramics,” Int. J. Pure Appl. Math., 111, No. 2, 319–330 (2016).Google Scholar

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Moscow Aviation Institute (National Research University)MoscowRussian Federation

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