Abstract
The present work proposes to come up with theoretical analyses and equations describing the extrusion pressures for direct ceramic paste extrusion through a circular die considering the coring point. For example, in a ceramic paste, the coring point is evidenced by a significant rise in the extrusion pressure beyond the steady state. This increase in the extrusion pressure may be linked to a change in the paste behavior during the unsteady state. Furthermore, regarding the feedstock properties’ variations, it may be accounted to water loss, densification of the clay paste, and shift of the friction coefficient. In practice, when the coring point is forecast during extrusion, die damages, lubrication problems, product defects, and a raise in the production cost can be minimized and even avoided. This work proposes two theoretical analyses and equations considering the effect of the coring point on the extrusion pressure. For instance, one analysis considers the effect of the spring-back phenomenon on the pressure, while the second considers the influence of water loss (water migration) during extrusion. The two proposed approaches demonstrated a satisfactory correlation with an experimental curve. In addition, the water loss approach seemed to be more conservative when compared to the spring-back phenomenon. In conclusion, the theoretical analyses seemed to be very useful to aid the construction of new equations. Thus, it was possible to fill a gap in the direct extrusion of ceramic, where publications about the unsteady state regime and equations which acknowledge it are very rare.
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References
Händle F (2007) Extrusion in ceramics. Springer, Berlin; New York
Kocserha I, Kristály F (2010) Effects of extruder head’s geometry on the properties of extruded ceramic products. Mater Sci Forum 659:495
Nath Das R, Madhusoodana CD, Okada K (2002) Rheological studies on cordierite honeycomb extrusion. J Eur Ceram Soc 22(16):2893–2900
Chen Z et al (2019) 3D printing of ceramics: a review. J Eur Ceram Soc 39(4):661–687
Hall SE et al (2021) Paste extrusion 3D printing and characterization of lead zirconate titanate piezoelectric ceramics. Ceram Int 47(15):22042–22048
Hu F et al (2021) Extrusion-based 3D printing of ceramic pastes: mathematical modeling and in situ shaping retention Approach. Materials. https://doi.org/10.3390/ma14051137
Romanczuk-Ruszuk E et al (2023) 3D Printing ceramics - materials for direct extrusion process. Ceramics 6:364–385. https://doi.org/10.3390/ceramics6010022
Ordoñez E, Gallego JM, Colorado HA (2019) 3D printing via the direct ink writing technique of ceramic pastes from typical formulations used in traditional ceramics industry. Appl Clay Sci 182:105285
Ruscitti A, Tapia C, Rendtorff NM (2020) A review on additive manufacturing of ceramic materials based on extrusion processes of clay pastes. Cerâmica 66:354
Benbow J, Bridgwater J (1993) Paste flow and extrusion. Clarendon Press, Oxford
Vitorino N et al (2014) Extrusion of ceramic emulsions: plastic behavior. Appl Clay Sci 101:315–319
Reed JS (1995) Principles of ceramics processing. Wiley
Andrade FA, Al-Qureshi HA, Hotza D (2011) Measuring the plasticity of clays: a review. Appl Clay Sci 51(1):1–7
Dondi M (2006) Caracterização tecnológica dos materiais argilosos: métodos experimentais e interpretação dos dados. Revis Cerâm Ind 11(3):36–40
Dodeja LC, Johnson W (1957) The cold extrusion of circular rods through square multiple hole dies. J Mech Phys Solids 5(4):281–295
Johnson W (1956) Experiments in plane-strain extrusion. J Mech Phys Solids 4(4):269–282
Burbidge AS, Bridgwater J (1995) The single screw extrusion of pastes. Chem Eng Sci 50(16):2531–2543
Macedo RS et al (2008) Estudo de argilas usadas em cerâmica vermelha. Cerâmica 54:411
Johnson W (1959) An elementary consideration of some extrusion defects. Appl Sci Res Sect A 8(1):52–60
Avitzur B (1967) Steady and unsteady state extrusion. J Engng Ind 175 (89)
Hoffmanner, A.L. and M.S.o.A.S.a.F. Committee, Metal forming: interrelation between theory and practice: proceedings of a symposium on the relation between theory and practice of metal forming, held in Cleveland, Ohio, in October, 1970. 1971: Plenum Press.
Sturgess CEN, Dean TA (1979) Breakthrough pressures in lubricated extrusion. J Mech Work Technol 3(2):119–135
Janney MA (1994) Plastic forming of ceramics: extrusion and injection moulding. In: Terpstra RA, Pex PPAC, de Vries AH (eds) Ceramic Processing. Springer, Netherlands, Dordrecht, pp 174–211
Horrobin DJ, Nedderman RM (1998) Die entry pressure drops in paste extrusion. Chem Eng Sci 53(18):3215–3225
Vitorino N et al (2015) Porous hollow tubes processed by extrusion of ceramic emulsions. Appl Clay Sci 105–106:60–65
Andrade FA (2009) Modelamento matemático do comportamento plástico do sistema argila-água no processo de extrusão, in Programa de Pós-Graduação em Ciência e Engenharia de Materiais. Universidade Federal de Santa Catarina
Flores O, et al., (2006) Modelo matemático aplicado à avaliação da plasticidade de argilas
Tajiri H, Pieri E, Al-Qureshi H (2019) Modified modeling of clay paste extrusion through a circular die: Beyond the Steady-State. Int J Metall Metal Phys 4:1–9
Khan AU, Briscoe BJ, Luckham PF (2001) Evaluation of slip in capillary extrusion of ceramic pastes. J Eur Ceram Soc 21(4):483–491
Wilson DI, Rough SL (2006) Exploiting the curious characteristics of dense solid–liquid pastes. Chem Eng Sci 61(13):4147–4154
Yekta B, Mahabad N, Ebadzadeh T (2007) Rheological study on cordierite paste during extrusion. Adv Appl Ceram 106:161–164
Patel M, Blackburn S, Wilson I (2017) Modelling of paste ram extrusion subject to liquid phase migration and wall friction. Chem Eng Sci 172:487
Mason MS et al (2009) Aqueous-based extrusion of high solids loading ceramic pastes: process modeling and control. J Mater Process Technol 209(6):2946–2957
Liu H et al (2013) Factors influencing paste extrusion pressure and liquid content of extrudate in freeze-form extrusion fabrication. Int J Adv Manuf Technol 67(1):899–906
Rough SL, Wilson DI, Bridgwater J (2002) A Model describing liquid phase migration within an extruding microcrystalline cellulose paste. Chem Eng Res Des 80(7):701–714
Jiang GP, Yang JF, Gao JQ (2009) Effect of starch on extrusion behaviour of ceramic pastes. Mater Res Innov 13(2):119–123
Azzolini A, Sglavo VM, Downs JA (2014) Novel method for the identification of the maximum solid loading suitable for optimal extrusion of ceramic pastes. J Adv Ceram 3(1):7–16
Liu H, Leu MC (2009) Liquid phase migration in extrusion of aqueous alumina paste for freeze-form extrusion fabrication. Int J Modern Phys B 23(06n07):1861–1866
Al-Qureshi H (1974) Spring-back of sheet metal when using compressible tools. Sheet Metal Ind 51:695–698
Al-Qureshi H (1999) Elastic-plastic analysis of tube bending. Int J Mach Tools Manuf 39:87–104
Al-Qureshi H, Russo A (2002) Spring-back and residual stresses in bending of thin-walled aluminium tubes. Mater Des 23:217–222
Chongthairungruang B et al (2013) Springback prediction in sheet metal forming of high strength steels. Mater Des 50:253–266
Gray A (1996) Modern differential geometry of curves and surfaces with mathematica. CRC Press, Inc.
Simoni R (2005) Teoria local das curvas, in Centro de Ciências Físicas e Matemática. Universidade Federal de Santa Catarina, Florianópolis, p 86
Wang Y, Xia X, Wu Y (2019) Experimental study on shear properties of interface between clay and cement paste. IOP Conf Seri Earth Environ Sci 267:052049
Ribeiro MJ, Blackburn S, Labrincha JA (2009) Single screw extrusion of mullite-based tubes containing Al-rich anodising sludge. Ceram Int 35(3):1095–1101
Benbow JJ, Oxley EW, Bridgwater J (1987) The extrusion mechanics of pastes: the influence of paste formulation on extrusion parameters. Chem Eng Sci 42(9):2151–2162
Ribeiro MJ, Ferreira JM, Labrincha JA (2005) Plastic behaviour of different ceramic pastes processed by extrusion. Ceram Int 31(4):515–519
Hamza A et al (2019) Plasticity of red mud and clay mixtures. IOP Conf Ser Mater Sci Eng 613:012051
Rough SL, Bridgwater J, Wilson DI (2000) Effects of liquid phase migration on extrusion of microcrystalline cellulose pastes. Int J Pharm 204(1):117–126
Sunil K et al. (2018) Effects of cold extrusion on material properties
Acknowledgements
The authors wish to thank the Departments of Mechanical and Chemical Engineering, at the Federal University of Santa Catarina and CNPq, for partially financing the project, for granting the authors, and for fomenting the participation of the authors in international conferences. The authors also thank Fernando Y. Miyata for all the help and suggestions in this work. The first author thanks CAPES for fully granting him.
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Tajiri, H.A., Hotza, D., De Pieri, E.R. et al. Analysis of the spring-back and water effect on the coring point during direct extrusion. J Braz. Soc. Mech. Sci. Eng. 45, 225 (2023). https://doi.org/10.1007/s40430-023-04135-8
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DOI: https://doi.org/10.1007/s40430-023-04135-8