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Mechanical behavior of porous Si3N4 ceramics manufactured with 3D printing technology

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Abstract

The paper focuses on experimental measurement and analytical and numerical modeling of the elastic moduli of porous Si3N4 ceramics obtained by 3D printing and pressureless sintering. The pores in such a material have complex irregular shape and porosity varies over a wide range (up to 50%), depending on the technological parameters used. For analytical modeling, we use effective field methods (Mori–Tanaka–Benveniste and Maxwell homogenization schemes) recently developed for pores of superspherical shape. For FEM simulation, we used microstructures generated by overlapping solid spheres and overlapping spherical pores. It is shown that elastic properties of ceramics are largely determined by the granular structure and the concave pore shape, which have been observed in the ceramics microstructure after sintering of the 3D-printed powder green bodies.

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References

  1. Rabinskiy LN, Ripetsky AV, Sitnikov SA, Solyaev YO, Kahramanov RM (2016) Fabrication of porous silicon nitride ceramics using binder jetting technology. IOP Conf Ser Mater Sci Eng 140:012023. https://doi.org/10.1088/1757-899X/140/1/012023

    Article  Google Scholar 

  2. Rabinsky LN, Ripetsky AV, Sitnikov SA, Solyaev Y, Kahramanov RM, Babaitsev AV (2016) In: Binder jetting of Si3N4-based composite ceramics with different porosity, materials science and technology conference, additive manufacturing of composites and complex materials symposium, 2016, Solt Lake City, 23–27 Oct

  3. Rabinskiy LN, Ripetsky AV, Pogodin VA, Sitnikov SA, Solyaev YO (2017) Study of porous ceramic based on silicon nitride prepared using three-dimensional printing technology. Refract Ind Ceram 57:600–604. https://doi.org/10.1007/s11148-017-0030-2

    Article  Google Scholar 

  4. Li X, Zhang L, Yin X (2012) Microstructure and mechanical properties of three porous Si3N4 ceramics fabricated by different techniques. Mater Sci Eng A 549:43–49. https://doi.org/10.1016/j.msea.2012.03.114

    Article  Google Scholar 

  5. Li X, Zhang L, Yin X (2012) Effect of chemical vapor infiltration of Si3N4 on the mechanical and dielectric properties of porous Si3N4 ceramic fabricated by a technique combining 3-D printing and pressureless sintering. Scr Mater 67:380–383. https://doi.org/10.1016/j.scriptamat.2012.05.030

    Article  Google Scholar 

  6. Duan W, Yin X, Cao F et al (2015) Absorption properties of twinned SiC nanowires reinforced Si3N4 composites fabricated by 3D-printing. Mater Lett 159:257–260. https://doi.org/10.1016/j.matlet.2015.06.106

    Article  Google Scholar 

  7. Gibson I, Rosen DW, Stucker B (2013) Additive manufacturing technologies. 3D-printing, rapid prototyping, and direct digital manufacturing. Springer, Berlin, p 499

    Google Scholar 

  8. Barmin A, Bortnikova V, Ivanov A, Kornev V, Lurie SA, Solyaev YO (2016) Microstructure and mechanical properties of silicon carbide ceramics reinforced with multi-walled carbon nanotubes. IOP Conf Ser Mater Sci Eng 124:012142. https://doi.org/10.1088/1757-899X/124/1/012142

    Article  Google Scholar 

  9. Guo N, Leu MC (2013) Additive manufacturing: technology, applications and research needs. Front Mech Eng 8:215–243. https://doi.org/10.1007/s11465-013-0248-8

    Article  Google Scholar 

  10. Eckel Zak C, Zhou Chaoyin, Martin JH, Jacobsen AJ, Carter WB, Schaedler TA (2016) Additive manufacturing of polymer-derived ceramics. Science 351:3–7. https://doi.org/10.1126/science.aad2688

    Article  Google Scholar 

  11. Bai Y, Wagner G, Williams CB (2015) Effect of bimodal powder mixture on powder packing density and sintered density in binder jetting of metals. In: Annual international solid freeform fabrication symposium, p 62

  12. Shrestha S, Manogharan G (2017) Optimization of binder jetting using Taguchi method. JOM, J Miner Met Mater Soc. https://doi.org/10.1007/s11837-016-2231-4

    Google Scholar 

  13. Chen H, Zhao YF (2016) Process parameters optimization for improving surface quality and manufacturing accuracy of binder jetting additive manufacturing process. Rapid Prototyp J 22:527–538

    Article  Google Scholar 

  14. Gonzalez JA, Mireles J, Lin Y, Wicker RB (2016) Characterization of ceramic components fabricated using binder jetting additive manufacturing technology. Ceram Int 42:10559–10564

    Article  Google Scholar 

  15. Kachanov M, Sevostianov I (2012) Rice’ s internal variables formalism and its implications for the elastic and conductive properties of cracked materials, and for the attempts to relate strength to stiffness. J Appl Mech 79:1–10

    Article  Google Scholar 

  16. Bruno G, Kachanov M, Green DJ (2016) Microstructure-property connections for porous ceramics: the possibilities offered by micromechanics. J Am Ceram Soc 99:3829–3852. https://doi.org/10.1111/jace.14624

    Article  Google Scholar 

  17. Fu Z, Schlier L, Travitzky N, Greil P (2013) Three-dimensional printing of SiSiC lattice truss structures. Mater Sci Eng A. https://doi.org/10.1016/j.msea.2012.09.107

    Google Scholar 

  18. Roberts AP, Garboczi EJ (2000) Elastic properties of model porous ceramics. J Am Ceram Soc 83:3041–3048. https://doi.org/10.1111/j.1151-2916.2000.tb01680.x

    Article  Google Scholar 

  19. Bruno G, Efremov AM, Levandovskyi AN, Clausen B (2011) Connecting the macro- and microstrain responses in technical porous ceramics: modeling and experimental validations. J Mater Sci 46:161–173. https://doi.org/10.1007/s10853-010-4899-0

    Article  Google Scholar 

  20. Sadowski T, Samborski S (2003) Prediction of the mechanical behaviour of porous ceramics using mesomechanical modelling. Comput Mater Sci 28:512–517. https://doi.org/10.1016/j.commatsci.2003.08.008

    Article  Google Scholar 

  21. Giraud A, Sevostianov I (2013) Micromechanical modeling of the effective elastic properties of oolitic limestone. Int J Rock Mech Min Sci 62:23–27. https://doi.org/10.1016/j.ijrmms.2013.04.001

    Google Scholar 

  22. Chen F, Sevostianov I, Giraud A, Grgic D (2015) Evaluation of the effective elastic and conductive properties of a material containing concave pores. Int J Eng Sci 97:60–68. https://doi.org/10.1016/j.ijengsci.2015.08.012

    Article  Google Scholar 

  23. Sevostianov I, Giraud A (2012) On the compliance contribution tensor for a concave superspherical pore. Int J Fract 177:199–206. https://doi.org/10.1007/s10704-012-9754-7

    Article  Google Scholar 

  24. Chen F, Sevostianov I, Giraud A, Grgic D (2017) Accuracy of the replacement relations for materials with non-ellipsoidal inhomogeneities. Int J Solids Struct 104–105:73–80. https://doi.org/10.1016/j.ijsolstr.2016.10.023

    Article  Google Scholar 

  25. Mori T, Tanaka K (1973) Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall 21:571–574

    Article  Google Scholar 

  26. Benveniste Y (1987) A new approach to the application of Mori–Tanaka’s theory in composite materials. Mech Mater 6:147–157

    Article  Google Scholar 

  27. Benveniste Y (1990) Some remarks on three micromechanical models in composite media. J Appl Mech 57:474–476

    Article  Google Scholar 

  28. Maxwell JC (1873) A treatise on electricity and magnetism. Clarendon Press, Oxford

    Google Scholar 

  29. Open source 3DP 3D printer Plan B, http://ytec3d.com/plan-b/

  30. Sevostianov I, Giraud A (2013) Generalization of Maxwell homogenization scheme for elastic material containing inhomogeneities of diverse shape. Int J Eng Sci 64:23–36

    Article  Google Scholar 

  31. Sevostianov I (2014) On the shape of effective inclusion in the Maxwell homogenization scheme for anisotropic elastic composites. Mech Mater 75:45–59

    Article  Google Scholar 

  32. Hashin Z (1983) Analysis of composite-materials—a survey. J Appl Mech 50:481–505

    Article  Google Scholar 

  33. Stauffer D, Aharony A (1992) Introduction to percolation theory, 2nd edn. Taylor and Francis, London

    Google Scholar 

  34. Sevostianov I, Kováčik J, Simančík F (2006) Elastic and electric properties of closed-cell aluminum foams. Cross-property connection. Mater Sci Eng A 420:87–99

    Article  Google Scholar 

  35. McLaughlin R (1977) A study of the differential scheme for composite materials. Int J Eng Sci 15:237–244

    Article  Google Scholar 

  36. Vavakin AS, Salganik RL (1975) Effective characteristics of nonhomogeneous media with isolated inhomogeneities. Mech Solids 10(1975):65–75

    Google Scholar 

  37. Sevostianov I, Kachanov M (2007) Relations between compliances of inhomogeneities having the same shape but different elastic constants. Int J Eng Sci 45:797–806

    Article  Google Scholar 

  38. Trofimov A, Drach B, Sevostianov I (2017) Effective elastic properties of composites with particles of polyhedral shapes. Int J Solids Struct 120:157–170

    Article  Google Scholar 

  39. Sevostianov I, Kachanov M (2010) Local minima and gradients of stiffness and conductivity as indicators of strength reduction of brittle-elastic materials. Int J Fract 164:147–154

    Article  Google Scholar 

Download references

Acknowledgements

Financial support from Russian Federal Targeted Program “Research and Development under Priority Areas of Russian Science and Technology on 2014–2020 years,” Agreement No. 14.577.21.0171 (identifier RFMEFI57715X0171) and NASA Cooperative Agreement NNX15AL51H to New Mexico State University are gratefully acknowledged.

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Correspondence to I. Sevostianov.

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Lurie, S.A., Solyaev, Y.O., Rabinskiy, L.N. et al. Mechanical behavior of porous Si3N4 ceramics manufactured with 3D printing technology. J Mater Sci 53, 4796–4805 (2018). https://doi.org/10.1007/s10853-017-1881-0

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