Abstract
The influence of temperature on electrical and thermal conductivities of two materials from powder metallurgy, Ag-C and Ag-WC, is studied. The increase in conductivities with heating temperature at constant density is showed. The need to consider temperature in addition to density in the conductivity models is highlighted. The coupled mechanisms, of densification and of bonding diffusion, which are at the beginning of the improvement of conductivities, are discussed. A new phenomenological model for electrical and thermal conductivities, taking into account these mechanisms and their interplay, is proposed. The model parameters are estimated. The model makes it possible to correctly predict the increases in conductivity of metal powders during manufacturing stages: cold compaction, annealing, free or load-assisted sintering.
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References
Slavin AJ, Greenhalgh VA, Irvine ER, Marshall DB (2002) Theoretical model for the thermal conductivity of a packed bed of solid spheroids in the presence of a static gas, with no adjustable parameters except at low pressure and temperature. Int J Heat Mass Transf 45:4151–4161
Bahrami M, Yovanovich M, Culham RJ (2006) Effective thermal conductivity of rough spherical packed beds. Int J Heat Mass Transf 49:3691–3701
M, F (2006) Conductivité thermique apparente des milieux granulaires soumis à des contraintes mécaniques : modélisation et mesures. PhD thesis, Institut National Polytechnique de Toulouse
Tien CL, Vafai K (1978) Statistical upper and lower bounds of effective thermal conductivity of fibrous insulation. 2 AIA/ASME Thermophysics and Heat Transfert Conference, 780–874
Wang J, Carson JK, North MF, Cleland DJ (2006) A new approach to modelling the effective thermal conductivity of heterogeneous materials. Int J Heat Mass Transf 49:3075–3083
Carson JK, Lovatt SJ, Tanner DJ, Cleland DJ (2005) Thermal conductivity bounds for isotropic, porous materials. Int J Heat Mass Transf 48:2150–2158
Liang Y (2015) Expression for effective thermal conductivity of randomly packed granular material. Int J Heat Mass Transf 90:1105–1108
Argento C, Bouvard D (1996) Modeling the effective thermal conductivity of random packing of spheres through densification. Int J Heat Mass Transf 39:1343–1350
Atabaki N, Baliga BR (2007) Effective thermal conductivity of water-saturated sintered powder-metal plates. Heat Mass Transfer 44:85–99
Koh JC, Fortini A (1973) Prediction of thermal conductivity and electrical resistivity of porous metallic materials. Int J Heat Mass Transf 16:2013–2022
Aivazov MI, Domashnev IA (1968) Influence of porosity on the conductivity of hot-pressed titanium-nitride specimens. Proshkovaya Metall 8:51–54
JC, M (1873) Electricity and magnetism. Clarendon Press Series. 1
Bauer TH (1993) A general analytical approach toward the thermal conductivity of porous media. Int J Heat Mass Transf 36:4181–4191
Agapiou JS, DeVries MF (1989) An experimental determination of the thermal conductivity of a 304l stainless steel powder metallurgy material. J Heat Transfer 111:281–286
Hadley GR (1986) Thermal conductivity of packed metal powders. Int J Heat Mass Transf 29:909–920
Gonzo EE (2002) Estimating correlations for the effective thermal conductivity of granular materials. Chem Eng J 90:299–302
Montes JM, Cuevas FG, Cintas J, Gallardo JM (2016) Electrical conductivity of metal powder aggregates and sintered compacts. J Mater Sci 51:822–835 https://doi.org/10.1007/s10853-015-9405-2
Montes JM, Cuevas FG, Cintas J (2008) Porosity effect on the electrical conductivity of sintered powder compacts. Appl Phys A 90:375–380
Montes JM, Cuevas FG, Cintas J, Urban P (2011) Electrical conductivity of metal powders under pressure. Appl Phys A 105:935–947
Ternero F, Caballero ES, Astacio R, Cintas J, Montes JM (2020) Nickel porous compacts obtained by medium-frequency electrical resistance sintering. Materials 13:2131
Brisson E, Carre P, Desplats H, Rogeon P, Keryvin V, Bonhomme A (2016) Effective thermal and electrical conductivities of agsno2 during sintering. Part i: experimental characterization and mechanisms. Metall Mater Trans A 47:6304–6318
Brisson E, Carre P, Desplats H, Rogeon P, Keryvin V, Bonhomme A (2016) Effective thermal and electrical conductivities of agsno2 during sintering. Part ii: constitutive modeling and numerical simulation. Metall Mater Trans A 47:6319–6329
Desplats H, Brisson E, Rogeon P, Carré P, Bonhomme A (2019) (2017) Pressureless sintering behavior and properties of Ag-SnO\(_2\). Rare metals 38:35–41
Jang B, Matsubara H (2006) Thermophysical properties of eb-pvd coatings and sintered ceramics of 4 mol\(\%\)\(y_2o_3\)-stabilized zirconia. J Allloys Compd 419:243–246
Zhang X, Huang Y, Liu X, Yang L, Shi C, Wu Y, Tang W (2018) Microstructures and properties of 40cu/ag(invar) composites fabricated by powder metallurgy and subsequent thermo-mechanical treatment. Metall and Mater Trans A 49:1869–1878
Ryu S-S, Lim J-T, Kim J-C, Kim YD, Moon I-H (1999) Effect of heat-treatment on the nanostructural change of w-cu powder prepared by mechanical alloying. Met Mater 5(2):175–178
Miao S, Xi ZM, Zhang T, Wang XP, Fang QF, Liu CS, Luo GN, Liu X, Lian YY (2016) Mechanical properties and thermal stability of rolled w-0.5wt%tic alloys. Mater Sci Eng A 671:87–95
Hu L-F, Gu Q-F, Li Q, Zhang J-Y, Wu G-X (2018) Effect of extrusion temperature on microstructure, thermal conductivity and mechanical properties of a mg-ce-zn-zr alloy. J Alloy Compd 741:1222–1228
Van Duong L, Anh NN, Trung TB, Chung LD, Huan NQ, Phuong MT, Minh PN, Phuong DD, Van Trinh P, et al (2020) Effect of annealing temperature on electrical and thermal property of cold-rolled multi-walled carbon nanotubes reinforced copper composites. Diam Related Mater. Vol 108
Saboori A, Pavese M, Badini C, Fino P (2018) A novel cu-gnps nanocomposite with improved thermal and mechanical properties. Acta Metall Sin 31(2):148–152 (English Letters)
Shakibhamedan S, Sheibani S, Ataie A (2021) High performance cu matrix nanocomposite fabricated through spark plasma sintering of cu and cu-coated cnt. Met Mater Int 27(10):4271–4285
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The authors are grateful to Schneider Electric Industries for their support and material supply and P. Pilvin for access and training to the Sidolo software.
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Courtois, E., Rogeon, P., Keryvin, V. et al. Effect of temperature on electrical and thermal conductivities of powder compacts: Ag-C and Ag-WC. J Mater Sci 57, 18839–18852 (2022). https://doi.org/10.1007/s10853-022-07811-7
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DOI: https://doi.org/10.1007/s10853-022-07811-7