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“Soldering and Brazing” comparing with Diffusion bonding, Hot pressing, and Solid phase bonding. Dr. Kunio TAKAHASHI - Associate professor, Dept. of International Development Engineering, Tokyo Institute of Technology ,Tokyo 152-8552, Japan Phone/Fax:+81-3-5734-3915 - PowerPoint PPT Presentation
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Soldering and Brazing” Soldering and Brazing” comparing with comparing with Diffusion bonding, Hot Diffusion bonding, Hot pressing, pressing, and Solid phase bonding and Solid phase bonding Dr. Kunio TAKAHASHI Dr. Kunio TAKAHASHI - Associate professor, - Associate professor, Dept. of International Development Dept. of International Development Engineering, Engineering, Tokyo Institute of Technology Tokyo Institute of Technology ,Tokyo 152-85 ,Tokyo 152-85 52, Japan 52, Japan Phone/Fax:+81-3-5734-3915 Phone/Fax:+81-3-5734-3915 E-Mail:[email protected] E-Mail:[email protected] http://www.ide.titech.ac.jp/~takahak/ http://www.ide.titech.ac.jp/~takahak/
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Page 1: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

““Soldering and Brazing” Soldering and Brazing” comparing withcomparing with    Diffusion bonding, Hot pressing, Diffusion bonding, Hot pressing,

and Solid phase bondingand Solid phase bonding

Dr. Kunio TAKAHASHIDr. Kunio TAKAHASHI - Associate professor,- Associate professor,

Dept. of International Development Engineering,Dept. of International Development Engineering,Tokyo Institute of TechnologyTokyo Institute of Technology,Tokyo 152-8552, Japan,Tokyo 152-8552, JapanPhone/Fax:+81-3-5734-3915Phone/Fax:+81-3-5734-3915E-Mail:[email protected]:[email protected]://www.ide.titech.ac.jp/~takahak/http://www.ide.titech.ac.jp/~takahak/

Page 2: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Prior to this lecture...Prior to this lecture...Activities of Japanese welding Activities of Japanese welding

communitycommunity

Organizations and their rolesOrganizations and their roles

Japanese system of education and Japanese system of education and certificationcertification

Movement around Asian Welding FederationMovement around Asian Welding Federation

Page 3: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

About About lecturer’s ...lecturer’s ... Back groundBack ground

welding ( what is this ? )welding ( what is this ? ) Tokyo Institute of technologyTokyo Institute of technology

http://www.titech.ac.jp/http://www.titech.ac.jp/

Department of International Development Eng.Department of International Development Eng.NetworkNetwork beyondbeyond the the borderborder of of engineering fieldengineering field(community)(community) nationnationhttp://www.ide.titech.ac.jp/http://www.ide.titech.ac.jp/

Welcome to JapanWelcome to JapanAlready, you have joined to Already, you have joined to our Networkour Network..

Page 4: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Welding Technology, Welding Technology, as ”Inter-Field” Engineeringas ”Inter-Field” Engineering based onbased on Plasma physicsPlasma physics Electronics/Electrical Eng.Electronics/Electrical Eng. Power SourcePower Source Control Control (“self-controlled” is the best) (“self-controlled” is the best) = = Heat sourcesHeat sources Thermal Eng.Thermal Eng. Fluid dynamicsFluid dynamics Material scienceMaterial science Fracture mechanicsFracture mechanics

Physics of phenomenaPhysics of phenomena StandardStandard IndustryIndustry

roles of roles of SocietySociety

PlasmaPlasma ee---beam-beam LaserLaser Joule’s heatJoule’s heat etc…etc…

SteelsSteels(Materials)(Materials)- Making- Making- Design- Design

Page 5: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

About this lecture “Brazing and Soldering About this lecture “Brazing and Soldering …”…”

Basic knowledgeBasic knowledge based on physics based on physics– PhenomenaPhenomena– Comparison with other welding processesComparison with other welding processes– What is and what is not clarified, theoretically ?What is and what is not clarified, theoretically ?– Recent progresses for physical understanding.Recent progresses for physical understanding.so,so,

You will understand...You will understand...– Why and How the process is used ?Why and How the process is used ? Experimental Experimental

trainingtraining– How the process can be modified ?How the process can be modified ?

Page 6: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Definition of brazing and solderingDefinition of brazing and soldering ExamplesExamples Comparison with other welding Comparison with other welding

processesprocesses Heat sourcesHeat sources Brazing filler metals and soldersBrazing filler metals and solders Fluxes and atmosphereFluxes and atmosphere Set up and joint shapeSet up and joint shape Phenomena in brazing and solderingPhenomena in brazing and soldering

– Wetting ( surface and interfacial tension )Wetting ( surface and interfacial tension )– Conduction of heatConduction of heat– DissolutionDissolution– FlowFlow– DiffusionDiffusion– DeformationDeformation– Oxidation - reduction reactionOxidation - reduction reaction– Solidification -> microscopic structureSolidification -> microscopic structure

ExerciseExercise

Contents Contents ofofthis lecturethis lecture

Please remember in your experimental training (Sept.19 ?)

Page 7: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Definition of the brazing and soldering.Definition of the brazing and soldering.

Joint is Joint is heatheateded distributing distributing filler metalfiller metal between base materials, between base materials, by by capillarycapillary action action below below solidus temperaturesolidus temperature of of base materialsbase materials.. Sometimes the joint is pressed.Sometimes the joint is pressed.

example of brazing example of brazing main engine LE7A main engine LE7A H2A rocket H2A rocket

Page 8: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Filler metalsFiller metals

BrazingBrazingmelting point of filler metal melting point of filler metal >> 723723 K K ( ( 450 450 C, C, 840 840 F F ))

SolderingSolderingmelting point of filler metal melting point of filler metal << 723723 K K ( ( 450 450 C, C, 840 840 F F ))

Page 9: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Capillary actionCapillary action

Wetting phenomenonWetting phenomenon

Surface tensionSurface tensionor or

Surface energySurface energy

Page 10: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

A g-C u phase diagram .

Solidus temperatureSolidus temperature

phase diagramphase diagram

– Equilibrium Equilibrium phasephase

– Lever ruleLever rule

Solidus Liquidus

Page 11: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding
Page 12: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

exampleexample

Soldering is key technologySoldering is key technologyin micro-electronics assemblyin micro-electronics assembly

Page 13: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

exampleexample

Soldering is key technologySoldering is key technologyin micro-electronics assemblyin micro-electronics assembly

Page 14: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

exampleexample “flip chip” technology“flip chip” technology

Page 15: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

A ssessed P b-Sn phase diagram.

Solders for electronicsSolders for electronicsEutectic phasEutectic phas

ee conventional solderconventional solder

– Sn-PbSn-Pb

(Sn-(Sn-3838Pb Pb 180180CC))

lead free solderslead free solders– Sn-AgSn-Ag

(Sn-3.8Ag 220(Sn-3.8Ag 220CC))– Sn-InSn-In– Sn-BiSn-Bi– Sn-ZnSn-Zn– etc...etc...

Page 16: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Wire bonding by Kaijo

by H.Miyazaki, S.Saito, et.al...

Page 17: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Pb ( lead ) problem for healthPb ( lead ) problem for health

Mental development index – age ->Mental development index – age ->

Audition handicap - Pb in bloodAudition handicap - Pb in blood Blood pressure - Pb in bloodBlood pressure - Pb in blood

(positive correlation)(positive correlation)

Page 18: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

A ssessed P b-Sn phase diagram.

Solders for electronicsSolders for electronicseutectic phaeutectic pha

sese conventional solderconventional solder

– Sn-PbSn-Pb

(Sn-38Pb 180(Sn-38Pb 180CC))

lead free solderslead free solders– Sn-AgSn-Ag

(Sn-3.8Ag 220(Sn-3.8Ag 220CC))– Sn-InSn-In– Sn-BiSn-Bi– Sn-ZnSn-Zn– etc...etc...

Page 19: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

A ssessed A g-Sn phase diagram.Solders for electronicsSolders for electronics

conventional solderconventional solder– Sn-PbSn-Pb

(Sn-38Pb 180(Sn-38Pb 180CC))

lead free solderslead free solders– Sn-AgSn-Ag

(Sn-(Sn-3.83.8Ag Ag 220220CC))– Sn-InSn-In– Sn-BiSn-Bi– Sn-ZnSn-Zn– etc...etc...

Sn-Ag-Bi-Sb-CuSn-Ag-Bi-Sb-Cu Sn-Ag-InSn-Ag-In Sn-Ag-Bi-CuSn-Ag-Bi-Cu ......

Page 20: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

A ssessed In-Sn phase diagram.

Page 21: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

A ssessed Sn-B i phase diagram .

Page 22: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

A ssessed Z n-Sn phase diagram.

Page 23: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Problems Pb free solderProblems Pb free solder

Melting pointMelting pointproblemsproblems in processesin processes almost solve almost solve

dd ViscosityViscosity

Corrosion Corrosion still under R still under R/D/D– Heating ironHeating iron in iron solderingin iron soldering– Solder bathSolder bath in reflow solderingin reflow soldering

Page 24: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding
Page 25: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

exampleexample Al brazingAl brazing

Page 26: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

exampleexample Ni brazingNi brazing

Page 27: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

exampleexample Ag brazing of Stainless and Ag brazing of Stainless and Ceramics Ceramics

Page 28: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

The highest technology is The highest technology is never used for space never used for space development.development.

The highest technology is The highest technology is the the combinationcombination of of conventional technologies.conventional technologies.

OptimizationOptimization & & breakthroughbreakthrough are based on are based on scientific understandingscientific understanding

Page 29: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Comparison with other welding or joining processesComparison with other welding or joining processes

melting base materials melting base materials ex. arc welding, resistance welding, etc…ex. arc welding, resistance welding, etc…

adding molten metals between base materialsadding molten metals between base materialsex. ex. brazingbrazing,, soldering soldering, etc..., etc...

not melting base materialsnot melting base materialsex. solid phase bonding, hot pressing, etc...ex. solid phase bonding, hot pressing, etc...

Page 30: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Diffusion bonding, Hot pressing, Diffusion bonding, Hot pressing, and Solid phase bondingand Solid phase bonding

Samples are Samples are – heatedheated,,

and and – pressedpressed..– Sometimes Sometimes metal metal

sheetsheet is inserted. is inserted.

“filler metal” ? in brazing

Page 31: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Another type of equipmentsAnother type of equipments Hot Isostatic Pressing (HIP)Hot Isostatic Pressing (HIP)

Page 32: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

ExampleExample Ni alloyNi alloy

Page 33: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Requirements for joiningRequirements for joining– to bring atoms near stable inter-atomic distanceto bring atoms near stable inter-atomic distance

Page 34: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

WettingWetting Heat transfer Heat transfer DissolutionDissolution FlowFlow DiffusionDiffusion DeformationDeformation OxidationOxidation ReductionReduction SolidificationSolidification

Phenomena Phenomena

Soldering and BrazingSoldering and Brazing

and alsoand also

Diffusion bondingDiffusion bonding Hot pressingHot pressing Solid phase bondingSolid phase bonding

Page 35: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Heat sources for brazing and solderingHeat sources for brazing and soldering

Oxyfuelgas flameOxyfuelgas flame ::Torch brazingTorch brazing/soldering , braze weldi/soldering , braze weldingng

Arc plasmaArc plasma :Arc brazing, braze welding:Arc brazing, braze welding Joule’s heatJoule’s heat :Resistance brazing:Resistance brazing Induction heatInduction heat :Induction brazing:Induction brazing Hot iron Hot iron ::Iron solderingIron soldering Ultrasonic waveUltrasonic wave :Ultrasonic soldering:Ultrasonic soldering Infrared rayInfrared ray :Infrared soldering:Infrared soldering Laser beamLaser beam :Laser beam soldering:Laser beam soldering

etc...etc...

Page 36: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Other terminology Other terminology for brazing and solderingfor brazing and soldering

AtmosphereAtmosphere Atmospheric brazing/solderingAtmospheric brazing/soldering

Vacuum brazingVacuum brazing

Furnace brazingFurnace brazing

Dip brazing/solderingDip brazing/soldering ex. of dip ex. of dip solderingsoldering– Metal bath brazing/soldering Metal bath brazing/soldering (in molten solder bath)(in molten solder bath)– Salt bath brazing/solderingSalt bath brazing/soldering (in flux)(in flux)

Page 37: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Other terminologyOther terminology

ProcedureProcedure Abrasion tinning & re-flowAbrasion tinning & re-flow Re-flow solderingRe-flow soldering Diffusion brazing/solderingDiffusion brazing/soldering

– Transient Liquid Phase bondingTransient Liquid Phase bonding

ambiguousambiguous

Diffusion bonding ( Hot pressing ) ?Diffusion bonding ( Hot pressing ) ?– Liquid phase diffusion bondingLiquid phase diffusion bonding : : iso-thermal solidificationiso-thermal solidification– Eutectic bondingEutectic bonding : no filler metal and: no filler metal and

intent to melt base materiaintent to melt base materialsls

ex. Re-flow used in electronicsex. Re-flow used in electronics

Page 38: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

A ssessed P b-Sn phase diagram.Brazing/Soldering temperatureBrazing/Soldering temperature

= Liquidus temp. + = Liquidus temp. + 5050~~100100 K K ( because of viscosity )( because of viscosity )

Page 39: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Brazing filler metals and soldersBrazing filler metals and solders Brazing filler metals in Japanese Industrial Standards (Brazing filler metals in Japanese Industrial Standards (JISJIS))

Page 40: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding
Page 41: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Fluxes and atmosphereFluxes and atmosphere

FluxesFluxes Shielding Shielding Reduction of surfaces Reduction of surfaces

RequirementsRequirements wettablewettable easily removableeasily removable never harmfulnever harmful

Shielding gasShielding gas

WettabilityWettability

Page 42: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Set up and joint shapeSet up and joint shape

Page 43: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding
Page 44: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding
Page 45: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Phenomena in brazing and solderingPhenomena in brazing and soldering Wetting ( Surface and interfacial tension )Wetting ( Surface and interfacial tension ) Conduction of heatConduction of heat DissolutionDissolution FlowFlow DiffusionDiffusion DeformationDeformation Oxidation - reduction reactionOxidation - reduction reaction Solidification -> microscopic structureSolidification -> microscopic structure

Page 46: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Wetting driven by Wetting driven by surface and interfacial tensionsurface and interfacial tension

What determines equilibrium What determines equilibrium ( contact angle, meniscus, etc… ) ?( contact angle, meniscus, etc… ) ?– surface and interfacial tensionsurface and interfacial tension

Young’s equationYoung’s equation coslis

Page 47: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Surface and interfacial tensionSurface and interfacial tension(Surface tension is interfacial tension between material and vacuum.)(Surface tension is interfacial tension between material and vacuum.)

Surface ( interfacial ) tensionSurface ( interfacial ) tension– ex. soap filmex. soap film– ex. soap bubbleex. soap bubble

Force on meniscusForce on meniscusLaplace equationLaplace equation

Effect of gravity on meniscus Effect of gravity on meniscus on shape of filleton shape of fillet– Curvature changes with height.Curvature changes with height.

21l

11RR

P

Page 48: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Surface (interfacial) tensionSurface (interfacial) tension and Surface (interfacial) energyand Surface (interfacial) energy

Internal energy and entropyInternal energy and entropy

1st law and 2nd law of thermodynamics1st law and 2nd law of thermodynamics

For bulk,For bulk,thereforetherefore

Variables for unit area of surfaceVariables for unit area of surface

For arbitrary area of surface,For arbitrary area of surface,

Therefore,Therefore,

dApdVTdSdU btottot

sbtot UUU sbtot SSS

bbb pdVTdSdU dATdSdU ss

AUU ss ASS

ss

0ssss TdSdUAdATSU

ss TSU ss TdSdU

pTS

s

T

p

dTTU

TTU

TpTSTpUTp

0s

s

ss

1

),(),(),(

Page 49: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Relation betweenRelation betweenSurface (interfacial) Surface (interfacial) tensiontension and Surface (interfacial) and Surface (interfacial) energenergyy

Surface contribution of internal energy is important.Surface contribution of internal energy is important. at 0 K, at 0 K,

T

p

dTTU

TTU

TpTSTpUTp

0s

s

ss

1

),(),(),(

Surface ( interfacial ) entropy

dTTU

T

TS

T

p

0s

s

1

Surface ( interfacial ) tension

Surface ( interfacial ) energy

sU

Page 50: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Theoretical approach forTheoretical approach for Electronic theory Electronic theory surface tension at surface tension at 0 K0 K (quantum (quantum mechanics)mechanics)

SCF-Jellium

Stabilized jellium

Al

ZnMg

Pb

CaLi

Sr

BaNa

K

Rb Cs

Shifted step potential

Effective electron density parameter rm (Bohr)

Surf

ace

ener

gy a

t zer

o te

mpe

tratu

re

s

(mJ/

m2 )

Be

GaCd

InHg

2 3 4 5 6

500

1000

1500

200025003000

100

Shifted step potentialShifted step potentialK.Takahashi, and T.Onzawa,K.Takahashi, and T.Onzawa,Physical Review B, 48, 5689 (1993)Physical Review B, 48, 5689 (1993)

Stabilized jelliumStabilized jelliumJ.P.Predew, H.Q.Tran and E.D.Smith, J.P.Predew, H.Q.Tran and E.D.Smith, Phys. Rev. B, 42, 11627 (1990).Phys. Rev. B, 42, 11627 (1990).

SCF-jelliumSCF-jelliumN.D.Lang and W.Kohn, Phys. Rev. B, 1, 4555 (1970).

comparison by K.F.Wojciechovski, Surface Science, 437, 285-288 (1999)comparison by K.F.Wojciechovski, Surface Science, 437, 285-288 (1999)

Page 51: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

T

p

dTTU

TTUTp

0s

s1),(

trans.phase s,phonon s,electron s,s UUUU

Temperature dependence Temperature dependence ofof surface tension surface tension

Other contributionsOther contributions( phonon, phase transformation )( phonon, phase transformation )

=0, at 0 (zero) K.

Page 52: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Temperature T (K)

Al

Li

Na

K

Cs

Surfa

ce te

nsio

n s

(J/

m2 )

Rb

Bi

Hg

Pb

Sn

Zn

0 500 1000 15000.0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

1.1

SCF-Jellium

Stabilized jellium

Al

ZnMg

Pb

CaLi

Sr

BaNa

K

Rb Cs

Shifted step potential

Effective electron density parameter rm (Bohr)Su

rfac

e en

ergy

at z

ero

tem

petra

ture

s (m

J/m

2 )

Be

GaCd

InHg

2 3 4 5 6

500

1000

1500

200025003000

100

Experimental Experimental measurements of measurements of surface tensionsurface tension

Experimental value Experimental value which theorists which theorists have been used, have been used, is…is… “ “extrapolatedextrapolated””

Page 53: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Data base of Data base of Surface- and interfacial- tensionSurface- and interfacial- tension

Experimental approaches• Cleavage method• Zero creep method• Thermal grooving method• Contact angle method ( sessile drop )• Adhesion force method• ...

Theoretical approaches• Quantum mechanics • Thermodynamics• Molecular dynamics• …

!! No experimental method gives perfect information by itself.!! No experimental method gives perfect information by itself.!! No theory gives perfect information by itself.!! No theory gives perfect information by itself.

Strategy by lecturer for...Strategy by lecturer for...

Page 54: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Conduction of heat (1)Conduction of heat (1)

Fourier's LawFourier's LawHeat flux (J/mHeat flux (J/m22s)s)Thermal conductivity (J/sKm, W/Km)Thermal conductivity (J/sKm, W/Km)Temperature (K)Temperature (K)

Diffusion equationDiffusion equationLatent heat (J/kgK)Latent heat (J/kgK)Density (kg/mDensity (kg/m33))Diffusion coefficient (mDiffusion coefficient (m22/s)/s)

Diffusion equation for Cartesian coordinate system Diffusion equation for Cartesian coordinate system

2

2

2

2

2

2

zT

yT

xTD

tT

T grad q

TDTcct

T grad div grad div div1

q

c

D

Page 55: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Conduction of heat (2)Conduction of heat (2)

Solutions for special boundary conditionsSolutions for special boundary conditions– Steady state (t=Steady state (t=), one dimensional), one dimensional

– Steady state (t=Steady state (t=), axially symmetric ), axially symmetric

– Steady state (t=Steady state (t=), center symmetric ), center symmetric

02

2

xTD

tT

012

2

rT

rrTD

tT

022

2

rT

rrTD

tT

21)( CxCxT

21 ln)( CrCrT

211)( Cr

CrT

Page 56: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Conduction of heat (2)Conduction of heat (2)

Basic solutions of diffusion equationBasic solutions of diffusion equation– one dimensionalone dimensional area heatingarea heating

for heat input for heat input QQ Q Q ((J/mJ/m))

– two dimensionaltwo dimensional linear heatinglinear heating

Q Q ((J/mJ/m22))

– three dimensionalthree dimensional point heatingpoint heating

Q Q ((J/mJ/m33))

Dtx

DtcQT

4exp

41 2

Dtyx

DtcQT

4exp

41 22

Dtzyx

DtcQT

4exp

41 222

2/3

-20 -10 0 10 20X-AXIS

0

0.2

0.4

Y-A

XIS

Page 57: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

A g-C u phase diagram .

DissolutionDissolution

increasingincreasing temperaturetemperature

– heatingheating– heat conductionheat conduction

concentrationconcentration– filler metalfiller metal– diffusiondiffusion

Solubility limitSolubility limit

Phase diagramPhase diagram

Page 58: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

FlowFlow

WettabilityWettability driving forcedriving force

ViscosityViscosity dragging forcedragging force

Approximation “Liquid is always uniform.”Approximation “Liquid is always uniform.”

Page 59: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

DiffusionDiffusion

Fick’s 1st law, Fick’s 2nd law, and Diffusion equationFick’s 1st law, Fick’s 2nd law, and Diffusion equation

Application of basic solutionsApplication of basic solutions

wherewhere

Dtx

DtcC

4exp

4

20

DtxcC

4erf1

20

0

2exp2erf d

-10 0 10X-AXIS

0

0.5

1

Y-A

XIS

2

2

2

2

2

2

zC

yC

xCD

tC

Page 60: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

DiffusionDiffusion

When material P is joined with iWhen material P is joined with insert (filler) metal, change in cnsert (filler) metal, change in concentration profiles across booncentration profiles across bond interface.nd interface.

and if and if below eutectic temperature…below eutectic temperature… joint of P and Q at Tjoint of P and Q at T0 0 ,…,… joint of P and Q at <Tjoint of P and Q at <Teutectic eutectic ,…,… Q is inserted,...Q is inserted,... etc...etc...

DtxcC

4erf1s

Page 61: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

DeformationDeformation : Deformation around joint: Deformation around joint

Elastic deformationElastic deformation usually negligibleusually negligible Plastic deformationPlastic deformation Creep deformationCreep deformation Diffusional deformationDiffusional deformation

( diffusional creep )( diffusional creep )– surface diffusionsurface diffusion– boundary diffusionboundary diffusion– volume diffusionvolume diffusion

Solid phase bondingSolid phase bonding

Surface

Void

Before contact

After plastic deformation

During creep deformation

L

h00

(a)

Void

Volume diffusion

Boundary diffusion

Surface diffusion (b)

X

Page 62: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

0 5 10 15 20Bonding pressure Pb (MPa)

100

101

102

103

104

105

106

Tim

e re

quir

ed f

or p

erfe

ct c

onta

ct

t fin

(s)

L=10 m, h00=1 m

L=1 m, h00=0.1 m

T=1000 K

VoidL

X

Time required for perfect contact by deformationTime required for perfect contact by deformation

Page 63: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

800 1000 1200

0

50

100

Bonding temperature T (K)

Perc

ent b

onde

d ar

ea S

(%)

Plastic deformation

Creep deformation

Boundary diffusion

Volume diffusion

L=10m, h00=1m, Pb=10MPa

VoidL

X

Dominant mechanismDominant mechanism

Elastic deformationElastic deformation Plastic deformationPlastic deformation Creep deformationCreep deformation Diffusional deformationDiffusional deformation

– surface diffusionsurface diffusion– boundary diffusionboundary diffusion– volume diffusionvolume diffusion

Why it is called “diffusion” bonding ?

Page 64: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

800 1000 1200

0

50

100

Bonding temperature T (K)

Perc

ent b

onde

d ar

ea S

(%)

Plastic deformation

Creep deformation

Boundary diffusion

Volume diffusion

L=1m, h00=0.1m, Pb=10MPa

800 1000 1200

0

50

100

Bonding temperature T (K)

Perc

ent b

onde

d ar

ea S

(%)

Plastic deformation

Creep deformation

Boundary diffusion

Volume diffusion

L=10m, h00=1m, Pb=10MPa

If you want to use If you want to use diffusion for precise diffusion for precise

joining…joining…

popular popular roughnessroughness

If carefullyIf carefullyprepared...prepared...

VoidL

X

Page 65: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Oxidation - reduction reaction between Oxidation - reduction reaction between fluxes fluxes andand metal metal

ex. Cu joint by Pb-Sn solder with HCl fluxex. Cu joint by Pb-Sn solder with HCl flux– Reduction of base metal surfaceReduction of base metal surface

– Shield of molten metalShield of molten metal

– Assist wettabilityAssist wettability

OHCuCl2HClCuO 22

22 HSnCl2HClSn

SnCuClSnClCu 22

Page 66: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Oxidation - reduction reaction between Oxidation - reduction reaction between atmosphereatmosphere and and metal metal

ex. atmospheric brazing with hydrogen gasex. atmospheric brazing with hydrogen gas

depending ondepending on Material (M)Material (M) Partial pressure of HPartial pressure of H22OO Liquid NLiquid N2 2 trap, Silica gel, trap, Silica gel,

etc...etc... Partial pressure of HPartial pressure of H22 Gas controlGas control

022 OHMHOM Gnmnnm

2

2

22H

OH00H

0OH lnln

pp

RTnKRTGGG

Page 67: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

SolidificationSolidification

Phase diagramPhase diagram

precipitation processprecipitation process

Microscopic structureMicroscopic structure

Mechanical propertyMechanical property– materialsmaterials– cooling ratescooling rates ex. Fe-C systemex. Fe-C system

Page 68: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

A ssessed P b-Sn phase diagram.ex. Pb-Sn solderex. Pb-Sn solder eutectic phaseeutectic phase

Page 69: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Ball Grid Array (BGA)Ball Grid Array (BGA)in “flip chip” technologyin “flip chip” technology

Eutectic phase can be seen.Eutectic phase can be seen.

Page 70: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

WeaknessWeakness of of low melting point materiallow melting point materialex. Pb-Sn solderex. Pb-Sn solder

CrackingCracking

Thermal effectThermal effect

150 150 C 100 hoursC 100 hours

A ssessed P b-Sn phase diagram.

Page 71: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Brittleness Brittleness of of inter-metallic compoundinter-metallic compoundex. Fe - Alex. Fe - Al Although Al is low melting point Although Al is low melting point

material,...material,...

A ssessed F e-A l phase diagram.

Page 72: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

ex. filler metal for Al: Low melting point ex. filler metal for Al: Low melting point precise heat precise heat controlcontrol

A ssessed A l-C u phase diagram.

A ssessed A l-Si phase diagram. A ssessed A l-M g phase diagram.

A ssessed A l-Z n phase diagram.

Page 73: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Weld metal Weld metal solidification cracksolidification crack

ex. Alex. Al

at the at the end of the solidificationend of the solidification,,

the liquid vanish the liquid vanish very quicklyvery quickly

lack of liquidlack of liquid crackcrack

A ssessed A l-Si phase diagram .

Page 74: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

ex. Ti - Ti bonding with Cu filmex. Ti - Ti bonding with Cu filmA ssessed T i-C u phase diagram .

Page 75: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Exercise 1Exercise 1Schematically, illustrate a concentration profile at 700 Schematically, illustrate a concentration profile at 700 C C

across the interface of diffusion couple (Ag/Cu), across the interface of diffusion couple (Ag/Cu), considering phase diagram.considering phase diagram.

A g-C u phase diagram .

Page 76: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Exercise 2Exercise 2Cu samples are bonded using insert film of Ag by keeping Cu samples are bonded using insert film of Ag by keeping

joint at 900 joint at 900 C. After liquid metal vanished, the joint was C. After liquid metal vanished, the joint was cooled to room temperature. Schematically, illustrate a cooled to room temperature. Schematically, illustrate a change of concentration profile across the interface.change of concentration profile across the interface.

A g-C u phase diagram .

Page 77: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Exercise 3Exercise 3Choose a percentage of Sn in Pb-Sn solder.Choose a percentage of Sn in Pb-Sn solder.And answer a soldering temperature. And answer a soldering temperature. A ssessed P b-Sn phase diagram.

Page 78: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Exercise 4Exercise 4List up deformation mechanisms for solid phase bonding.List up deformation mechanisms for solid phase bonding.

Page 79: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

fin.fin.

Page 80: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

ボツボツ

Page 81: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Conduction of heatConduction of heat

Application of basic solutionsApplication of basic solutions– Step distribution in t=0.Step distribution in t=0.

– Area heatingArea heating

– Linear heatingLinear heating

– Point heatingPoint heating

Thermal conductivity, Specific heat, Mass densityThermal conductivity, Specific heat, Mass densityTemperature dependence Temperature dependence Thermal diffusion Thermal diffusion

coefficientcoefficient

Page 82: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

Surface and interfacial tensionSurface and interfacial tension(Surface tension is interfacial tension between material and (Surface tension is interfacial tension between material and

vacuum.)vacuum.)

Meniscus between flat planeMeniscus between flat plane

Page 83: “Soldering and Brazing”  comparing with Diffusion bonding, Hot pressing,  and Solid phase bonding

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