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P/M Processing:A Brief Tutorial on Powder Metallurgy andParticulate Materials
Randall M. GermanCAVS Chair ProfessorCenter for Advanced Vehicular Systems
Mississippi State University
copyright82006 R. M. German
IntroductionDefinitions:Powder Metallurgy a methodof producing components by
pressing or shaping metal powderswhich may be simultaneously orsubsequently heated to create acoherent object. It includes powderfabrication, testing, and handlingsteps. The common abbreviation isP/M.
Particulate Materials - smallsolid particles have fluid-likeproperties that allow easy forming,leading to unique products oftennot available via alternative
approaches. It is related to powdermetallurgy, but includes a broaderrange of compositions such asceramics, composites, cermets,and several high-performanceproducts.
Particle - a discrete solid with asize less than 1 mm. Particlescome in many sizes and shapes,ranging from the size of a virus toa grain of sand. Many engineeringparticles range from 0.1 m to 200
m in size, with ceramic particlestending toward the smaller sizesand plastic particles tendingtoward the larger sizes. Forreference, human hair is about 100m wide.
Powder solid particles thatcollectively exhibit fluid-likeattributes, such as flow and an
ability to conform to the shape of acontainer.
Overview of the P/MProcess:
linkages between subfields
Powder Technology dealswith powder size and shape,powder fabrication, and treatingpowders prior to consolidation.
Powder Processing dealswith the conversion of the powderinto an engineered shape especially compaction, sintering,and densification steps.
Product Characterization focuses on ensuring properperformance via testing quality,measuring properties, andcharacterizing the linkagesbetween performance to thepowder and process.
Why we use powders:bedsides food additives, paintpigments, catalysts, and inks,there are three clusters based onproduction cost benefits in largeproduction volumes (ferrous
automotive components), uniquemicrostructures in multiple phasematerials (self-lubricating bearings),or fabrication of materials difficultto process by other means (oxidedispersion strengthened refractorymetals).
three justifications for usingpowders
Industry Structure - shows whoworks and participates in the fieldand attends conferences, furthershowing the flow of materials andinformation
industry structure
PowderCharacterization
Concerns include thefollowing:1) particle size distribution2) particle agglomeration3) surface area4) interparticle friction5) flow and packing6) internal structure7) composition, homogeneity.
Single best tool is thescanning electronmicroscope (SEM) it givesthree-dimensional size, shape,packing, and agglomerationinformation.
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example SEM of spherical powder
agglomerated, small spongepowder in SEM
Primary concern with particlesize is determination of acharacteristic size. Powderscome in a wide range ofsizes, shapes, chemistries spheres to sponges:
Particle Size Measurements:Microscopy
measure size of images
Screening (Sieve Analysis) measure weight of powder ineach screen interval,historical basis for othertechniques, but limitedaccuracy (" 4 to 8%accuracy) and size range(over 45 m).
schematic of sieving
mesh wires per inch (largermesh number is smaller openingsize)
example of a woven mesh sieve
example meshes openings -60 mesh =250 m100 mesh =150 m200 mesh =75 m
270 mesh =53 m
subsieve smaller than 325mesh (below 45 m)
minus sieve designatespowders that passed through thatsize (ex. -325 mesh 300 m)
mixed designation forexample -200/+325 indicatespowders below 75 m yet largerthan 45 m
Sedimentation measure particles based onsettling time or velocity in airor water or viscous fluid
terminal velocity balances forces
Stokes lawD =particle diameterV =steady-state settling velocityDM=solid theoretical density
DF=fluid density0=fluid viscosity
D = [18 V 0 / (g (DM - DF))]1/2
requires laminar settling ofparticles, can add centrifugal forcefor smaller particles.
Light Scattering measureparticles dispersed andpassing through laser or lightdetector; Fraunhofer and Miescattering are captured insingle computerized
instrument
disperse particles streamingthrough light sources provideangle-intensity data fordetermining particle size
most accurate, largest size range,and highly automated instruments,can measure from 20 nm to over 1mm in single instrument
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Light Blocking thedispersion of particles in fluidand passage of particlesthrough detector region
dispersed particles cast shadowsproportion to size
measure shadow size, assumesphere cast the shadow tocalculate the size
Equivalent Spherical
Diameter most frequentbasis for particle size
based on assumption that theparameter measured wasproduced from a sphere; usuallyfrom particle volume or projectedimage area or surface area
example for projected image
solutions based on volume,surface area, projected area;give different results so basisof calculation needs to bespecified
Particle Size Distribution:Cumulative Size Distribution
shown here as both thecollective population (or number)of particles and weight (or mass) ofparticles (left axis is percent)smaller than size (on lower axis)
cumulative particle size distribution
key metrics - D10,D50, and D90corresponding particle sizes at
10%, 50%, and 90% on thecumulative particle size distribution
cumulative particle size distribution,showing median at 72 m sizecorresponding to 50% smaller
mean average not usedmuch
median central size (half largerand half smaller) used very often(same as D50)
mode most common size
log-normal distribution mostcommon for powders, thehistogram looks like a bell curvewhen the particle size is on alogarithmic scale (normal curve orbell curve or Gaussiandistribution); gives linear equation
when standard deviations areplotted versus log size
Particle Shape:Quantitative Descriptors * aspect ratio (longest overshortest measures)
* surface area to size ratio* curve fits to images
Qualitative Descriptors usually words based onstandard comparativeimageswords like sponge, sphere, andvarious fruits and vegetables suchas carrot; note special terms suchas flake, fiber, and dendritic (fernleaf shaped) and irregular
example particle shape terms
Surface Area:Permeation Approach relies on gas permeation andDarcys lawgas permeation (FSSS =Fishersubsieve size) widely used forsmaller (subsieve) powders inrefractory metal and cementedcarbide fields; usually surface areais converted to equivalentspherical diameter in m
test set up for measuring powdersurface area from air permeationrate
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Gas Absorption Approach relies on chilled sample(liquid nitrogen) andexposure to gas (nitrogen)that absorbs on surfaceexternal area of powder, measuredby amount of gas that sticks or
absorbs (BET technique) andsurface area is usually given inunits of m
2/g
BET technique changes gaspressure to detect when surface iscoated with absorbed gas as ameans to determine surface area
approximate relationbetween particle size D50(m) and specific surfacearea S (m2/g) and material
theoretical densityD is
S = 6/(DD50)
assuming the particles arespheres
Interparticle Friction:Powder Packing and Flow used to measure how apowder will respond to
processing steps
density mass per unit volume(usually g/cm3)
apparent density powder inthe loose or poured state, novibration
tap density powder densityafter prolonged vibration
pycnometer density densityof the powder if pressed to void-free condition
flow time the time required for50 g to pass through a 60 funnel;some small powders are not freeflowing
angle of repose a measure ofthe resistance to particle slidingreferenced to horizontal
tests devices
Hall and Scott testers for apparentdensity (Hall used for free flowingpowders, Scott used for powdersthat do not flow)
Arnold meter fills bushing withpowder and slides the powder overa cavity to simulate die pressing,used to determine apparentdensity
angle of repose anothermeasure of interparticle friction,measured as angle from horizontalfor loose or vibrated powder
evidence of the angle of repose
Compressibility powder iscompressed to measurechange from apparentdensity; two forms, press tostandard pressure (say 550
MPa and report presseddensity or press to standarddensity and report requiredpressure
Compression Ratio measure of change indensity from apparent topressed = pressed densitydivided by apparent density
Chemical Tests:Standard Tests same asemployed in other fields;emission spectroscopy mostcommon
Special Tests loss on ignition determinehow much surface contaminant onthe powder via heating in hydrogenand measuring mass change
acid insoluble dissolvepowder in acid and measureresidue as basis for estimation ofceramic inclusions
Powder Fabrication
Main Approaches: milling,electrolysis, chemical
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reduction, atomization ofmelts. Approach selectiondepends on material, costs,and desired purity. For alloysatomization is usually best.
Milling mechanical attritionof powderperformed using tumbling or fallingballs; crushers, impact devices,
jaw mill or ball mill; intense millingpossible with stirred ball mill(termed mechanically alloying orattritor milling)
rotating ball or jar mill formechanical attritioning of powder
grinding rate relatesenergy input W to particlesize output D;
W = g [DF-a DI-a]
subscriptF = final, I = initial,and a = 1 to 2
characteristics of milled powders angular, brittle, contaminated
milled, angular powder
attritor milling a stirred ballmill, can deliver mechanicallyalloyed powder
Electrolytic production ofpowder from chemicalsolution by use of directcurrent
powder produced by electrolysis,good for copper, gold, silver, and
similar metals; but not alloys
characteristics of electrolyticpowders sponge-dendritic, pureelements, some possiblecontamination from bath chemistry
electrolytic (dendritic) copperpowder
Chemical Reaction theproduction of powders fromprecursor chemicals such asoxides or compounds orsolutions, examples of thechemical reactions toproduce a powder are asfollows:
reduction (molybdenum, tungsten,iron, copper); example of tungstentrioxide reduced at 1000C byhydrogen to produce tungstenpowder and steam:
WO3 +3H26 W +3H2O
this process is applied to manyeasily reduced metals iron,copper, tungsten, andmolybdenum are most commonproducts
cubic molybdenum powder formedby hydrogen reduction of an oxide
reaction (compounds such asaluminides, carbides); for examplethe above tungsten powder ismixed with graphite and heated toproduce tungsten carbide (WC)
vapor decomposition (iron, nickel);
for example iron is reacted withcarbon monoxide and thencatalyzed to nucleate small ironparticles
agglomerated precipitated ironpowder from the carbonylreduction process carbonyl iron
growth rings inside carbonyl ironpowder
reaction techniques includecombustion or solid-state routes;for example solid powders are
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heated to a reaction temperatureto produce a compound:
3Ni +Al 6 Ni3Al
porous chemically reacted orcombusted Ni3Al nickel aluminidepowder
precipitation techniques (changesin solution chemistry) to nucleateand grow very small powders;widely used for pure elements(cobalt, nickel, gold, silver)
chemically precipitated palladiumsponge powder
Atomization production ofpowder by the breakup andthen solidification of a streamof molten metal, good foralloys and pure metals thatmelt up to 1700C
gas atomization disruption ofthe melt stream based on high
pressure gas can be air, argon,nitrogen, helium
air-horizontal units for low meltingtemperatures (zinc, tin, solder)
inert gas units for high purityvacuum melted alloys (nickelsuperalloys)
air vertical units for intermediatequality (bronze, aluminum, copper)
schematic of vacuum inert gas
atomization for production of small,pure high purity spherical powder
characteristics of gas atomizedpowders ligaments and sphere,some splats, some satellites
SEM of gas atomized spheres withsplats and ligaments
superheat excess heating overmelting range of the alloy toensure no freezing
instability the cause of the meltstream disintegration first intoligaments then into spheres(Rayleigh instability)
satellite case where small solidparticles stick to larger particles tocreate agglomerates
laminar flow ability to sweepparticles away from nozzle to avoidsatellite formation
close-coupled nozzle gasoutlet is directly in contact withmelt stream
example of satellite particles
water atomization meltstream disintegration using highpressure water jets, good for largevolume production of lower meltingmaterials (iron, copper, bronze,
tin); scale up to large meltingbatches (like a steel mill)
melt pouring into atomizer nozzle
schematic of water jets being usedto atomize a melt stream
characteristics of water atomizedpowders irregular, larger (100m common), usually highly
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contaminated by water 3000ppm of oxygen is typical; often canbe reduced after atomization byroasting in hydrogen or carbonmonoxide
SEM of water atomized ironparticle
centrifugal atomization molten material combined withcentrifugal force to throw offdroplets that solidify into particles
spinning cup centrifugal atomizer
characteristics of centrifugalatomized powders spherical,larger, often bimodal sizes
SEM of centrifugal atomizedpowder
Specialty AtomizationApproaches plasma,vacuum melt explosion,spark erosion, nichetechnologies
high temperature plasma sprayprocess for atomization
SEM of plasma atomized tungsten
Nanoscale Powders aregenerally smaller than 100nm (0.1 m in size) formedby vapor condensation,chemical reaction, explodingwires or intense millingroutes - characterized by highlevels of agglomeration, highsurface area, difficult handling
small nanoscale metal powder
Example Metal Powders:showing powder, productionroute, median size, andshapefactors include chemistry(especially purity), material
properties (especially chemicalstability and melting temperature),application requirements, andcosts
copper, electrolytic, 40 m,dendritic
iron, oxide reduction in hydrogen,50 m, irregular sponge
niobium, milled, 10 m, angularand irregular
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tungsten, oxide reduced byhydrogen, 4 m, angular andagglomerated
Commercial Summary inUSA metal powderproduction is a $3 billionindustry, and global value isprobably just under $10billion; usually highest cost isassociated with lowest use
relative cost of metal powders
relative consumption of metalpowders
example costs water atomized iron =$1/kgcarbonyl nickel =$15/kggas atomized stainless =$15/kg
PowderMicrostructures
Microstructure:the internal arrangement ofphases, pores, and grains asseen in a microscope
example structures seen insidepowders
pore and dendrite structure insidegas atomized powder
possible variants includedendritic slower cooling, largegrains with segregation ofchemistry evident in microstructure
equiaxed mostly crystalline, butgrains are same size and shapedue to rapid cooling
nanoscale crystals below 0.1m, so high disorder in atomicstructure
amorphous no crystalstructure, no atomic order
Atomization Microstructure usually corresponds to howfast heat is extractedlarger particles favor dendritic andonly very rapidly cooled particlesgive amorphous with rapid cooling
microstructure measure -most common is grain size orsecondary dendrite spacing;cooling at a million degrees persecond gives about 1 m spacing
microstructure feature used formeasuring cooling rate
example particle size effect onmicrostructure
grain region of same atomicalignment as crystal
grain size measure, like
particle size, of crystal dimensions
grain boundary region ofdisrupted bonding at junction ofcontacting grains, usually about 5atoms thick
nanoscale grain size is small,generally below 0.1 m, so high
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proportion of the atoms are ongrain boundaries
circles represent atoms, with highfraction of atoms at grainboundaries in nanoscale materials
fraction of atoms located oninterfaces as grain size becomesvery small
since grain size influencesproperties, a small grain size
opens new properties
amorphous state requires rapidcooling possible via coldsubstrate, small droplets in gasatomization, or intense mechanicalalloying
amorphous structure where theatoms (circles) have no repetitivepattern but are in random positions
production of amorphousmaterials relies on freezingin random (liquid like) atomicstructure
melt extraction for rapid cooling
example flakes by melt extraction
amorphous metals glassymetals; lack crystal structure,usually highly alloyed, produced byrapid cooling, atomization canproduce if particle size is small
Features for FormingAmorphous Metals
1) high alloys (such as Al-Ni-Mn)2) atoms of differing atomic sizes(such as Pd at 2.74 nm and B at1.96 nm)3) atoms of differing crystalstructures (such as face-centeredcubic and hexagonal closepacked)4) atoms with differing valences(such as Al at +3 and Li at +1)5) atoms with differing electro-negativities (such as Si at 1.8 andZr at 1.4)6) compositions near deepeutectics to suppress normalsolidification to low temperatures
basic concept formcomposition from atoms that arenot similar so solidification into acrystal requires considerableatomic sorting time; example54Au-26Pd-19Sb, 41Zr-23Be-13Ti-13Cu-10Ni, and 40Pd-40Ni-20P
critical cooling rate dependson alloy; defines heatextraction rate to produceamorphous phase:pure Ni 10,000,000,000 K/s62Ni-38Nb 2,000 K/s40Pd-30Cu-10Ni-20P 0.001 K/s
production of amorphous materialsby atomization favored by highalloy levels, rapid cooling, highdroplet velocities, and smallparticles
plot showing amorphous phaseformation in gas atomizationversus particle size andatomization gas (helium extractsheat faster than argon)
solidification time dependson particle size / particle velocityand is often in 0.1 to 0.4 s range;dominated by droplet size (smalleris faster) and rate of heat
extraction in atomization (turbulentgas is faster)
spheroidization time depends on particle size andviscosity of melt and is often in the0.1 s range
particle shape sphere ifspheroidization is faster thansolidification such as in gasatomization; ligament at
intermediate rates of cooling, andirregular if cooling is rapid
novel properties in theamorphous alloys -strength and hardnesscorrosion resistanceelastic modulusmagnetic responsewear resistance
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comparison of strength and elasticmodulus, showing specialcharacter of amorphous alloys
example of Hall-Petch effectfor steel (strength depends oninverse square root of grain size):
30 m gives strength of 290 MPa5 m gives strength of 430 MPa1 m gives strength of 700 MPa
Tailoring Powders
Activities:these occur after powderfabrication targeted tomatching powder toproduction process attributes,but care is required to avoid
hazards, explosions, workerhealth issues, or fires
Definitions:pyrophoric a powder thattends to burn in air
mixing combination of powdersof different chemistries (such asiron, copper, and graphite aremixed to give a sintered steel)
blending combination ofpowders of same chemistry, butdifferent sizes, shapes, orproduction lots
feedstock a mixture ready forshaping or compaction
solids loading thecombination of powder as a
relative volume fraction in afeedstock (around 60 vol.% solid)
agglomeration process forjoining powders into clusters, usedto make small particles that feedand flow easily
deagglomeration ordispersion the breaking apartof agglomerated powders to attaindiscrete particles
dusting tendency of powder tospill fines during discharge or flow
saturation all of the pores arefilled with liquid
aggregate a hard cluster ofparticles that is not easilydispersed or broken into discreteparticles
packing the use of mixtures orblends of powders to improveapparent density, bimodalcompositions
lubricant polymer mixed with apowder to minimize tool wear inthe forming step (common
examples are zinc stearate, stearicacid, and lithium stearate)
binder polymer mixed with apowder to provide strength andtransport such as in extrusion(common examples are paraffinwax, polyethylene, or mixtures ofvarious oils and polymers)
J ustifications:several reasons for mixingand blending:eliminate inhomgeneitiesoffset separation during shippingadd lubricant or binderminimized dustingform new alloys or compositesto remove lot-lot variations
Mixing Variants:dry versus wet powderbatch versus continuous
Dry Mixing - mixing involvesshear, diffusion, andconvection
fundamental mixing processes diffusion, convection, and shear
double cone mixer for batch dryblending and mixing powders
mixture homogeneity is measuredby the uniformity of the ingredientsthroughout the powder lot
Mixing Rate end of mixingwhen segregation andmixing reach balance rateof mixing equals rate ofsegregation
mixing rate measured by themixture homogeneity (standarddeviation in composition overrepeated small samples):
M = Mo + exp(K t + C)
where M is the homogeneity, Moisthe initial mixture homogeneity, t isthe mixing time, and K and C
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depend on the mixer design, mixeroperation, and powder
apparent density increases withmixing time, but is degraded byhigher lubricant contents
Mixture Density theoreticaldensity of powder-lubricantand powder-power mixturesfollows inverse rule ofmixtures:
1/DM = X1/D1 + X2/D2
DM=theoretical mixture densityX1=weight fraction of component1D1 =theoretical density ofcomponent 1X2=weight fraction of component2
D2 = theoretical density ofcomponent 2
Agglomeration: intentionalbonding of small particles toappear large
large agglomerates formed byspray drying
spray drying powder-solvent-polymer mixture is sprayed into hotchamber, solvent evaporates,producing large agglomeratedballs of small particles
fluid bed powder in chamberwith forces gas lifting the particlesagainst gravity as a polymer-solvent spray is added to themoving particles
granulation powder, polymer
and solvent are tumbled as solventevaporates to give agglomerates
agglomerated spherical particlesgranulated into a large cluster
spouted bed similar to fluidbed with particles traveling in acircular path to ensure all particlesare equally coated (superior tofluid bed for powders)
spouted bed to coating polymeronto powders such as foragglomeration
decrease in dusting with polymercoating
Wet Mixing: used to formslurries, pastes, andthermoplastic feedstock forinjection molding andextrusion
Examples: some polymer-solvent combinations usedfor agglomeration:paraffin wax-heptanecellulose- acetonepolyethylene glycol-water
variants include simple mixtures,intentional coatings or surfacebonds, and further diffusion bonds
examples of mixed, agglomerated,and diffusion bonded powders
Bonding Forces van derWaals (very weak), pendular(drops of liquid at contacts),and funicular (liquid nearlyfills voids between particlesso pores are spherical)
at saturation (all pores filled with
liquid) there is no bonding strength
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pendular bond state with wettingliquid at particle contacts
pendular bonds provideagglomerate strength; estimatedpendular bonding force F
F = 3 (D
(=liquid-vapor surface energy
D =particle size
diffusion bond case; electronmicrograph and X-ray elementmap of diffusion bonded Ni on Feparticle
Wet Mixing:
Batch Mixing double conetwin shelldouble planetaryvarious tumbling containershigh intensity blades
batch mixer double planetary
continuous twin screw mixer
change in powder-polymer densitywith composition
critical solids loading -corresponds to peak in density inpowder-polymer mixtures; same asmaximum in mixture viscosity
viscosity resistance to shear;thick paint is hard to stir since thehigh particle content makes it moreviscous
plot showing how relative powder-binder mixture viscosity changeswith solids content
viscosity versus composition0M =viscosity of powder-polymermixture0B =viscosity of pure binderN =solids loading (vol. %)NC =critical solids loading (vol. %)
0M/0B =(1 - N/NC )-2
this model says infinite viscosity atthe critical solids loading
Particle Packing:Types of Packings orderedsuch as the stacking ofbricks and random such as
how balls fill a container
ordered packing of spheres
coordination number number of touching spheres orparticles
example ordered packings simple cubic, coordination of 6 anddensity of 0.52face-centered cubic, coordinationof 12 and density 0.74
Random Packing mosttypical of powder processingdense random correspondsto the tap density, highest densitypossible without pressure; forspheres coordination number near6, packing density near 0.60
loose random corresponds toapparent density, density on fillinga container without pressure orvibration; for spheres coordination
number near 7, packing densitynear 0.74
Improved Packing toimprove packing densityfill container with largerpowder first
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1) fill holes in packing usingsmaller powder (withvibration)
2) holes require smaller powder isabout 15% size of largerpowder
3) optimal ratio is often 70% largeand 30% small
4) spheres pack best
density of packing is given bydensity of large powder plusdensity of small powder timesporosity in large powder
bimodal two modes in theparticle size distribution
multimodal multiple sizes, soparticle size distribution will show
many peaks
polydisperse broad size range
example of particle shape on
packing
packing density of cylinders based
on length to diameter ratio
bimodal packing behavior packing density versuscomposition
bimodal packing at optimalcomposition
Optimized Packing thepeak bimodal density f*
f* = fL + fS (1 fL)
were fL and fS are large and smallparticle packing densities
composition of peakXL* in terms offraction of large particles
XL* = fL / f*
Furnas Relation firstmodels for optimized packing,relied on wide particle sizedistributions
example of a high packing densitybroad particle size distribution
Percolation:Percolation long rangeconnections betweenparticles of the same speciesin a mixture; particles are in longcontacting strings within the
packing; example, make onepowder conductive and otherpowder nonconductive, thenpercolation corresponds toconditions where the mixture isconductive
schematic showing difference inpercolation (left) and isolation(right) giving differences inconduction
contiguity measure of thesame particle-particle contact areaper particle as a percentage of theparticle surface area or perimeter
upper drawing is no percolationversion, showing no contiguity,while lower version is connected tobe percolated
percolation limit compositionwhere first continuous string forms(how much conductor is added toinsulator to cause the insulator tobecome conductive)