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Comparison between different numerical models of densification during solid-state sintering of pure aluminium powder

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Abstract

This paper focuses on studying different numerical models to simulate a solid-state sintering process with grain boundary diffusion for the components made of pure aluminium powders. A continuum model based on the linear viscous law is introduced to describe the mechanical behavior during sintering. To identify the parameters in the constitutive law (shear and bulk viscosity moduli in addition to sintering stress), various macroscopic models were utilized. Beside the mass conservation equation which regulates the densification process, Kang’s model based on Herring’s scale law, which takes into account the role of grain boundaries and diffusion area in densification, is also used to describe the densification process. These numerical models have been implemented in FORTRAN subroutine UMAT and solved using the FE-software ABAQUS/Standard. Finally, the densification behavior of each model is compared to each other.

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References

  1. Song J (2007) Experiments, modeling and numerical simulation of the sintering process for metallic and ceramic powders. De l’Université de Franche-Comté, dissertation, pp 5–23

  2. Kang SJ (2005) Sintering: densification, grain growth and microstructure. Elsevier, Amsterdam, ISBN: 0750663855, 9780750663854

  3. Riedel H, Kozak V, Svoboda J (1994) Equilibrium pore surfaces, sintering stresses and constitutive equations for intermediate and late stages of sintering—part II: diffusional densification and creep. Acta Metall 42:452–455

    Google Scholar 

  4. Olevsky EA (1998) Theory of sintering: from discrete to continuum. Mater Sci Eng R Rep 23:41–100

    Article  Google Scholar 

  5. Sun DZ, Riedel H (1994) Prediction of shape distortions and hard metal parts by numerical simulation of pressing and sintering. In: Shan SF, Dawoson PR (eds) Simulation of material processing: theory, methods and applications. Balkema, Rotterdam, ISBN: 90 5410 553 4

  6. Kim H, Gillia O, Bouvard D (2003) A phenomenological constitutive model for sintering of alumina powder. J Eur Ceram Soc 23:1675–1685

    Article  Google Scholar 

  7. Johnson DL (2003) Finding and utilizing the master sintering curves sintering. In: Proceedings of the 3rd international conference on the science, technology & applications of sintering, September 15–17, State College, Pennsylvania, USA, pp 1129–1135

  8. Peirce D, Shih CF, Needleman A (1984) A tangent modulus method for rate dependent solids. Comput Struct 18:875–887

    Article  MATH  Google Scholar 

  9. Krüss http://www.kruss.de/en/theory/substance-properties/solids.html. (Retrieved 06.05.2014)

  10. Höganäs Höganäs handbook no. 1, material and powder properties, p 32. Sweden. http://hoganas.com/Documents/Handbooks/Book1%20Material%20and%20Powder%20Properties_Dec_2013.pdf. (Retrieved 06.05.2014)

  11. Hanini K, Behrens. B (2006) Simulationsgestützte Algorithmen für die automatisierte Auslegung von Pulverformgebungsprozessen, Leibniz Universität Hannover, Institut für Umformtechnik und Umformmaschinen (IFUM), dissertation

  12. Lee SH, Messing GL, Green DJ (2003) Bending creep test to measure the viscosity of porous materials during sintering. J Am Ceram Soc 86:877–882

    Article  Google Scholar 

  13. Borida RK, Scherer GW (1998) On constrained sintering—I. Constitutive model for a sintering body. Acta Metall 36(9):2393–2397

    Article  Google Scholar 

  14. German RM (2002) Computer modeling of sintering processes. Int J Powder Metall 38(2):48–66

    Google Scholar 

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Correspondence to Christian Bonk.

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Al-Qudsi, A., Kammler, M., Bouguecha, A. et al. Comparison between different numerical models of densification during solid-state sintering of pure aluminium powder. Prod. Eng. Res. Devel. 9, 11–24 (2015). https://doi.org/10.1007/s11740-014-0574-7

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  • DOI: https://doi.org/10.1007/s11740-014-0574-7

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