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TECHNICAL PAPERS

Constitutive Modeling of Cold Compaction and Sintering of Hardmetal

[+] Author and Article Information
Lennart Mähler, Kenneth Runesson

Department of Solid Mechanics, Chalmers University of Technology, SE-412 96 Göteborg, Sweden

J. Eng. Mater. Technol 125(2), 191-199 (Apr 04, 2003) (9 pages) doi:10.1115/1.1491576 History: Received July 30, 1999; Revised February 19, 2001; Online April 04, 2003
Copyright © 2003 by ASME
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References

Shima,  S., and Oyane,  M., 1976, “Plasticity Theory for Porous Metals,” Int. J. Mech. Sci., 18, pp. 285–291.
Weber, G. G., and Brown, S. B., 1976, “Simulation of the Compaction of Powder Components,” Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge.
Fleck,  N. A., Kuhn,  L., and McMeeking,  R. M., 1992, “Yielding of Metal Powder Bonded by Isolated Contacts,” J. Mech. Phys. Solids, 40(5), pp. 1139–1162.
Fleck,  J. M., 1995, “On the Cold Compaction of Powders,” J. Mech. Phys. Solids, 43(9), pp. 1409–1431.
Oliver,  J., Oller,  S., and Cante,  J. C., 1996, “A Plasticity Model for Simulation of Industrial Powder Compaction Processes,” Int. J. Solids Struct., 33, pp. 3161–3178.
Reid,  C. R., 1994, “Numerical Simulation of Free Shrinkage Using a Continuum Theory for Sintering,” Powder Technol., 81, pp. 287–291.
Svoboda,  A., Häggblad,  H.-Å., and Näsström,  M., 1996, “Simulation of Hot Isostatic Pressing of Metal Powder Components to Near Net Shape,” Eng. Comput., 13(5), pp. 13–37.
Brandt,  J., and Nilsson,  L., 1998, “Fe-Simulation of Compaction and Solid State Sintering of Cemented Carbides,” Mech. Cohesive-Frict. Mater., 3(2), pp. 181–205.
Redanz,  P., 1998, “Numerical Modelling of Cold Compaction of Metal Powder,” Journal of Mechanical Sciences, 40 (11), pp. 1175–1189.
Reid,  C. R., and Oakberg,  R. G., 1990, “A Continuum Theory for the Mechanical Response of Materials to the Thermodynamic Stress of Sintering,” Mech. Mater., 10, pp. 203–213.
Riedel, H., 1990, “A Constitutive Model for the Finite-Element Simulation of Sintering-Distortion and Stresses,” Messing et al. ed., Ceramic Powder Ceramics III, American Ceramic Society, Westerville, pp. 619–630.
Shinagawa,  K., 1996, “Finite Element Simulation of Sintering Process (Microscopic Modeling of Powder Compacts and Constitutive Equation for Sintering),” JSME Int. J., Ser. A, 39, pp. 565–572.
Svoboda,  J., Riedel,  H., and Gaebel,  R., 1996, “Model for Liquid Phase Sintering,” Acta Mater., 44, pp. 3215–3226.
Xu,  K., and Mehrabadi,  M. M., 1997, “Micromechanical Model for the Initial Rearrangement Stage of Liquid Phase Sintering,” Mech. Mater., 25, pp. 137–157.
McMeeking,  R. M., and Kuhn,  L. T., 1992, “A Diffusional Creep Law for Powder Compacts,” Acta Metall., 40, pp. 961–969.
Cocks,  A. C. F., and Du,  Z.-Z., 1993, “Pressureless Sintering and Hiping of Inhomogeneous Ceramic Compacts,” Acta Metall. Mater., 41, pp. 2113–2126.
Riedel,  H., Kozak,  V., and Svoboda,  J., 1994, “Densification and Creep in the Final Stage of Sintering,” Acta Metall. Mater., 42, pp. 3093–3103.
Perzyna,  P., 1966, “Fundamental Problems in Viscoplasticity,” Adv. Appl. Mech., 9, pp. 243–377.
Johansson,  M., and Runesson,  K., 1997, “Viscoplasticity with Dynamic Yield Surface Coupled to Damage,” Computational Mechanics, 20, pp. 53–59.
Simo,  J. C., and Miehe,  C., 1992, “Associative Coupled Thermoplasticity at Finite Strains: Formulation, Numerical Analysis and Implementation,” Comput. Methods Appl. Mech. Eng., 98(1), pp. 41–104.
Simo,  J. C., and Ortiz,  M., 1985, “Unified Approach to Finite Deformation Elastoplastic Analysis Based on the Use of Hyperelastic Constitutive Equations,” Comput. Methods Appl. Mech. Eng., 49(2), pp. 221–245.
Haglund, S. A., Ågren, J., Lindskog, P., and Uhrenius, B., 1996, “Modelling of Solid State Sintering of Cemented Carbides,” R. G. Cornwall, R. M. German, and G. L. Messing, eds, Sintering 1995-1996, Marcel Dekker, Westerville.
Lindskog, P., 1995, “Mechanical Properties of Hard Metal During Sintering,” Technical Memo, Sandvik Coromant AB.
Redanz, P., and Tvergaard, V., 1998, “Analysis of Shear Band Instabilities in Sintered Metals,” Int. J. Solids Struct., submitted.
Riedel,  H., and Sun,  D.-Z., 1992, “Simulation of Die Pressing and Sintering of Powder Metals, Hard Metals and Ceramics,” Numerical Methods in Industrial Forming Processing, pp. 883–886.
Mähler, L., Ekh, M., and Runesson, K., 1999, “A Class of Thermo-Hyperelastic-Viscoplastic Models for Porous Materials: Theory and Numerics,” Report F218, Department of Solid Mechanics, Chalmers University of Technology, SE-412 96 Göteborg, Sweden.

Figures

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Multiplicative decomposition of F into F̿,F̄th, and Fp
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Unit cell with a spherical pore
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Function f(ϱ) defining the dependence of ϱ′ on σs
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A typical shape of Φ=0 for increasing values of ϱ′ (when K and θ are fixed)
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A typical shape of Φ=0 for increasing values of K (when ϱ′ and θ are fixed)
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A typical shape of Φ=0 for the case when θ increases from θ0 (when K and ϱ′ are fixed)
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Temperature-dependence of yield stress
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Comparison of experimental and calculated (calibrated and predicted) response at free sintering at different hold-temperatures
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Comparison of experimental and calculated (calibrated) response at sintering with a uniaxial load of 1N
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Comparison of experimental and calculated (predicted) response at sintering with a uniaxial load of 5N
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Comparison of experimental and calculated (predicted) response at sintering with a uniaxial load of 25N
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μ=0.20 and τy=40 MPa
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A schematic model of the wedge with die walls and double action punches
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Results after double action compaction: (1) deformed mesh and (2) relative density ϱ′
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Results when compaction tools are removed: (1) equivalent stress T̄e and (2) mean stress T̄m (sintering stress σs=0.55)=3.42 MPa)
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Results during sintering (after 3600 s): (1) deformed mesh and (2) relative density ϱ′
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Results during sintering (after 3600 s): (1) equivalent stress T̄e and (2) mean stress T̄m (sintering stress σs=0.56)=3.47 MPa)
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Results during sintering (after 5600 s): (1) deformed mesh and (2) relative density ϱ′
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Results during sintering (after 5600 s): (1) equivalent stress T̄e and (2) mean stress T̄m (sintering stress σs=0.67)=4.05 MPa)
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Results after sintering: (1) deformed mesh and (2) relative density ϱ′
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Results after sintering: (1) equivalent stress T̄e and (2) mean stress T̄m (sintering stress σs=0.81)=5.19 MPa).

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