SlideShare a Scribd company logo
Don Blanchet
3B Associates
03 April 2016
 There are literally thousands of studies that
have been performed to try to predict the
fatigue life of solder ball attachments on BGA
component packages.
 Many have been published.
 Presented here is a simplified first order
approach.
2
 Thermal cycle definition single cycle 20C –> 100C -> -45C –> 20C
 No pwb glass transition effects
 ¼ symmetry used to limit model size
 Linear solution
 Constant material properties over temperature
 Ball processing collapse included in the models
 Failure Criteria used : Cumulative Strain energy density – @ crack initiation
 From publish test data sources
 Solders SN63 and lead free SAC305
 All under fill materials bulk modulus of elasticity, Poisson’s ratio = 0.4 determined by
similarity to other organic materials.
Typical crack
initiation
Expansion direction X
Expansion direction Y
Fixed center point
MLB , 1.5 x 1.5 x .100
Very large high CTE
Ceramic BGA
MLB
Allowed
bend
Solder ball field
Solder
Ball
detail
Under fill
With
fillet
High CTE ceramic
component
High mesh density
added
In highly stressed
Corner balls
part
Body
Material
Designated
Under fill
Under fill
Thickness, mm
BGA High CTE
ceramic
Ablefill
UF8807 0.40
BGA High CTE
ceramic
Loctite
3568 0.40
BGA High CTE
ceramic
Mereco
1650 0.40
BGA High CTE
ceramic
No
Under fill
Ball height
0.40
Material
Property
Pwb
FR-4
30%
cu
Eutectic
solder
SN63
SAC
305
Lead
free
solder
(flexible) (flexible) (rigid)
BGA
Body
ceramic
BGA
Body
Plastic
BT
epoxy
BGA
Body
Flip
chip
Silicon
CTE
ppm/ C
14 24.7 23.5 250 40 28 6.7 13 3
Elastic
Modulus
E, psi
3.5e0
6
2.03e06 2.50e06 250 200 1.5e06 32.0e06 3.5e06 16.3e06
Poisson’s
ratio
0.3 0.4 0.4 0.4 0.4 0.4 0.22 0.3 0.28
Under fill Materials
Board bending ~0.003 inches shown at 50X
BGA & under fill removed for clarity
Expansion shown
At 75X
CTE Stretch
Induces solder
tensile
stress
CTE mismatch
Induces solder
shear
stress
Ref
Undistorted
ball
Likely point
Of crack
formation
Joule/cu-meter
As strain energy exposure accumulates then cracks can form.
part
Body
Material
Designated
Under fill
material
BGA High CTE
ceramic
Ablefill
UF8807
300 2000
BGA High CTE
ceramic
Loctite
3568
125 700
BGA High CTE
ceramic
Mereco
1650
180 1200
BGA High CTE
ceramic
No
underfill
200 1400
 For the specified temperature range per cycle the
predicted solder ball fatigue life ranges from:
 125 to 300 cycles for SN63 solder
 700 to 2000 cycles for SAC 305 solder
 The predictions are based on published test data for
measured cumulative strain energy density in
similar BGA’s.
 FYI : Published data for vibration testing indicate
that eutectic solder exhibits a longer life for BGAs.
The opposite of thermal cycling.
 Schematic diagram of SN63 solder stress/strain
behavior derived from Solidworks FEA
simulation.
 Stress strain behavior vs. temperature and strain
rate
 Hysteresis data from references
20C
100C
-45C
Yield
point
Yield
point
Area is proportional to strain
energy
Per thermal cycle
Take away
Faster rate stiffer
Higher temp softer
Much Like
taffy candy
Note: the simulation performed was a non-linear
visco-plastic model including creep .

More Related Content

What's hot

Reptile terrarium
Reptile terrariumReptile terrarium
Reptile terrariumSteven Shen
 
Stainless steel pipe suppliers
Stainless steel pipe suppliersStainless steel pipe suppliers
Stainless steel pipe suppliers
Bob Lee
 
HIC Investigation on High Cold Work Vessel
HIC Investigation on High Cold Work VesselHIC Investigation on High Cold Work Vessel
HIC Investigation on High Cold Work VesselPongpat Lortrakul
 
White Carborundum
White Carborundum White Carborundum
White Carborundum
Lydia jia abrasive materials
 
Bm wengl ceeng Lost Foam
Bm wengl ceeng Lost Foam Bm wengl ceeng Lost Foam
Bm wengl ceeng Lost Foam
mossss
 
A review on squeeze casting process & amplifying Mechanical properties of cas...
A review on squeeze casting process & amplifying Mechanical properties of cas...A review on squeeze casting process & amplifying Mechanical properties of cas...
A review on squeeze casting process & amplifying Mechanical properties of cas...
CIPET | Central Institute of Petrochemicals Engineering & Technology
 
Crack stopper in metal parts
Crack stopper in metal partsCrack stopper in metal parts
Crack stopper in metal parts
Don Blanchet
 

What's hot (8)

SSI Failure Analysis Handbook
SSI Failure Analysis HandbookSSI Failure Analysis Handbook
SSI Failure Analysis Handbook
 
Reptile terrarium
Reptile terrariumReptile terrarium
Reptile terrarium
 
Stainless steel pipe suppliers
Stainless steel pipe suppliersStainless steel pipe suppliers
Stainless steel pipe suppliers
 
HIC Investigation on High Cold Work Vessel
HIC Investigation on High Cold Work VesselHIC Investigation on High Cold Work Vessel
HIC Investigation on High Cold Work Vessel
 
White Carborundum
White Carborundum White Carborundum
White Carborundum
 
Bm wengl ceeng Lost Foam
Bm wengl ceeng Lost Foam Bm wengl ceeng Lost Foam
Bm wengl ceeng Lost Foam
 
A review on squeeze casting process & amplifying Mechanical properties of cas...
A review on squeeze casting process & amplifying Mechanical properties of cas...A review on squeeze casting process & amplifying Mechanical properties of cas...
A review on squeeze casting process & amplifying Mechanical properties of cas...
 
Crack stopper in metal parts
Crack stopper in metal partsCrack stopper in metal parts
Crack stopper in metal parts
 

Similar to BGA FEA underfll study

10.1016@j.matlet.2015.08.036
10.1016@j.matlet.2015.08.03610.1016@j.matlet.2015.08.036
10.1016@j.matlet.2015.08.036
pablo valle
 
Residual Stress Literature Review
Residual Stress Literature Review Residual Stress Literature Review
Residual Stress Literature Review
TEJASKRIYA PRADHAN
 
Bga land pattern design for manufacturability
Bga land pattern design for manufacturabilityBga land pattern design for manufacturability
Bga land pattern design for manufacturability
Paul Ave
 
BGA Land Pattern Design for Manufacturability
BGA Land Pattern Design for ManufacturabilityBGA Land Pattern Design for Manufacturability
BGA Land Pattern Design for Manufacturability
Paul Ave
 
Failure analysis of the reducer nipple of a propylene gas tank in a petrochem...
Failure analysis of the reducer nipple of a propylene gas tank in a petrochem...Failure analysis of the reducer nipple of a propylene gas tank in a petrochem...
Failure analysis of the reducer nipple of a propylene gas tank in a petrochem...Alexander Decker
 
Opm Oxpekk Friction And Wear Nano Profile Report 10 2042 V2
Opm Oxpekk Friction And Wear   Nano Profile Report 10 2042 V2Opm Oxpekk Friction And Wear   Nano Profile Report 10 2042 V2
Opm Oxpekk Friction And Wear Nano Profile Report 10 2042 V2
tspahroxpekk
 
The Recycling of Steel and Brass Chips to Produce Composite Materials via Col...
The Recycling of Steel and Brass Chips to Produce Composite Materials via Col...The Recycling of Steel and Brass Chips to Produce Composite Materials via Col...
The Recycling of Steel and Brass Chips to Produce Composite Materials via Col...
theijes
 
Timber and steel flexure
Timber and steel flexure Timber and steel flexure
Timber and steel flexure
Henry Moreno Alvarez
 
End sem project review
End sem project reviewEnd sem project review
End sem project review
Kaustav Datta
 
Design of Composite Pressure Vessel
Design of Composite Pressure VesselDesign of Composite Pressure Vessel
Design of Composite Pressure Vessel
JJ Technical Solutions
 
An Investigation on Effect of Welding Speed on Strength of Welded Joint using...
An Investigation on Effect of Welding Speed on Strength of Welded Joint using...An Investigation on Effect of Welding Speed on Strength of Welded Joint using...
An Investigation on Effect of Welding Speed on Strength of Welded Joint using...
IRJET Journal
 
A study on the application of modern corrosion resistant alloys in the upstre...
A study on the application of modern corrosion resistant alloys in the upstre...A study on the application of modern corrosion resistant alloys in the upstre...
A study on the application of modern corrosion resistant alloys in the upstre...Kukuh Wanengkirtyo
 
QUENCHING CRACK ANALYSIS OF BIG SIZE FORGING BY FE ANALYSIS
QUENCHING CRACK ANALYSIS OF BIG SIZE FORGING BY FE ANALYSISQUENCHING CRACK ANALYSIS OF BIG SIZE FORGING BY FE ANALYSIS
QUENCHING CRACK ANALYSIS OF BIG SIZE FORGING BY FE ANALYSIS
IAEME Publication
 
Run out table rolls
Run out table rolls Run out table rolls
Run out table rolls
Ali Shahnam
 
The Drill Geometry Influence on PCB Drilling Performance
The Drill Geometry Influence on PCB Drilling PerformanceThe Drill Geometry Influence on PCB Drilling Performance
The Drill Geometry Influence on PCB Drilling Performance
IJRES Journal
 
Modelling, Simulation and Finite Element Analyses of.pptx
Modelling, Simulation and Finite Element Analyses of.pptxModelling, Simulation and Finite Element Analyses of.pptx
Modelling, Simulation and Finite Element Analyses of.pptx
Padmanabhan Krishnan
 
Introduction to Accumulative Roll Bonding
Introduction to Accumulative Roll BondingIntroduction to Accumulative Roll Bonding
Introduction to Accumulative Roll Bonding
V Prem Kumar
 
Poster (Undergrad Symposium)
Poster (Undergrad Symposium)Poster (Undergrad Symposium)
Poster (Undergrad Symposium)Noah Swygert
 
Sectionclassificationforcold formedchannelsteel
Sectionclassificationforcold formedchannelsteelSectionclassificationforcold formedchannelsteel
Sectionclassificationforcold formedchannelsteel
narasimharaodvl
 

Similar to BGA FEA underfll study (20)

10.1016@j.matlet.2015.08.036
10.1016@j.matlet.2015.08.03610.1016@j.matlet.2015.08.036
10.1016@j.matlet.2015.08.036
 
Residual Stress Literature Review
Residual Stress Literature Review Residual Stress Literature Review
Residual Stress Literature Review
 
Bga land pattern design for manufacturability
Bga land pattern design for manufacturabilityBga land pattern design for manufacturability
Bga land pattern design for manufacturability
 
BGA Land Pattern Design for Manufacturability
BGA Land Pattern Design for ManufacturabilityBGA Land Pattern Design for Manufacturability
BGA Land Pattern Design for Manufacturability
 
Failure analysis of the reducer nipple of a propylene gas tank in a petrochem...
Failure analysis of the reducer nipple of a propylene gas tank in a petrochem...Failure analysis of the reducer nipple of a propylene gas tank in a petrochem...
Failure analysis of the reducer nipple of a propylene gas tank in a petrochem...
 
ICEP-2016(FE2-3)
ICEP-2016(FE2-3)ICEP-2016(FE2-3)
ICEP-2016(FE2-3)
 
Opm Oxpekk Friction And Wear Nano Profile Report 10 2042 V2
Opm Oxpekk Friction And Wear   Nano Profile Report 10 2042 V2Opm Oxpekk Friction And Wear   Nano Profile Report 10 2042 V2
Opm Oxpekk Friction And Wear Nano Profile Report 10 2042 V2
 
The Recycling of Steel and Brass Chips to Produce Composite Materials via Col...
The Recycling of Steel and Brass Chips to Produce Composite Materials via Col...The Recycling of Steel and Brass Chips to Produce Composite Materials via Col...
The Recycling of Steel and Brass Chips to Produce Composite Materials via Col...
 
Timber and steel flexure
Timber and steel flexure Timber and steel flexure
Timber and steel flexure
 
End sem project review
End sem project reviewEnd sem project review
End sem project review
 
Design of Composite Pressure Vessel
Design of Composite Pressure VesselDesign of Composite Pressure Vessel
Design of Composite Pressure Vessel
 
An Investigation on Effect of Welding Speed on Strength of Welded Joint using...
An Investigation on Effect of Welding Speed on Strength of Welded Joint using...An Investigation on Effect of Welding Speed on Strength of Welded Joint using...
An Investigation on Effect of Welding Speed on Strength of Welded Joint using...
 
A study on the application of modern corrosion resistant alloys in the upstre...
A study on the application of modern corrosion resistant alloys in the upstre...A study on the application of modern corrosion resistant alloys in the upstre...
A study on the application of modern corrosion resistant alloys in the upstre...
 
QUENCHING CRACK ANALYSIS OF BIG SIZE FORGING BY FE ANALYSIS
QUENCHING CRACK ANALYSIS OF BIG SIZE FORGING BY FE ANALYSISQUENCHING CRACK ANALYSIS OF BIG SIZE FORGING BY FE ANALYSIS
QUENCHING CRACK ANALYSIS OF BIG SIZE FORGING BY FE ANALYSIS
 
Run out table rolls
Run out table rolls Run out table rolls
Run out table rolls
 
The Drill Geometry Influence on PCB Drilling Performance
The Drill Geometry Influence on PCB Drilling PerformanceThe Drill Geometry Influence on PCB Drilling Performance
The Drill Geometry Influence on PCB Drilling Performance
 
Modelling, Simulation and Finite Element Analyses of.pptx
Modelling, Simulation and Finite Element Analyses of.pptxModelling, Simulation and Finite Element Analyses of.pptx
Modelling, Simulation and Finite Element Analyses of.pptx
 
Introduction to Accumulative Roll Bonding
Introduction to Accumulative Roll BondingIntroduction to Accumulative Roll Bonding
Introduction to Accumulative Roll Bonding
 
Poster (Undergrad Symposium)
Poster (Undergrad Symposium)Poster (Undergrad Symposium)
Poster (Undergrad Symposium)
 
Sectionclassificationforcold formedchannelsteel
Sectionclassificationforcold formedchannelsteelSectionclassificationforcold formedchannelsteel
Sectionclassificationforcold formedchannelsteel
 

More from Don Blanchet

Boat trailure winch bolt failure
Boat trailure winch bolt failureBoat trailure winch bolt failure
Boat trailure winch bolt failure
Don Blanchet
 
Bow thruster collision
Bow thruster collisionBow thruster collision
Bow thruster collision
Don Blanchet
 
Cross axis vibration
Cross axis vibrationCross axis vibration
Cross axis vibration
Don Blanchet
 
Ceramic cavity resonator
Ceramic cavity resonatorCeramic cavity resonator
Ceramic cavity resonator
Don Blanchet
 
Shock sensitive components mythology
Shock sensitive components mythologyShock sensitive components mythology
Shock sensitive components mythology
Don Blanchet
 
TQFP HALT testing stress analysis
TQFP HALT testing stress analysisTQFP HALT testing stress analysis
TQFP HALT testing stress analysis
Don Blanchet
 
Flex coupling stress analysis
Flex coupling stress analysisFlex coupling stress analysis
Flex coupling stress analysis
Don Blanchet
 
Graphics card resonances
Graphics card resonancesGraphics card resonances
Graphics card resonances
Don Blanchet
 
Stiffening of a shock lab test chassis
Stiffening of a shock lab test chassisStiffening of a shock lab test chassis
Stiffening of a shock lab test chassis
Don Blanchet
 
Cordwood electronic packaging
Cordwood electronic packagingCordwood electronic packaging
Cordwood electronic packaging
Don Blanchet
 
Drill bit life calculation
Drill bit life calculationDrill bit life calculation
Drill bit life calculation
Don Blanchet
 
Barrel stress in a 12lb Napoleonic cannon
Barrel stress in a 12lb Napoleonic cannonBarrel stress in a 12lb Napoleonic cannon
Barrel stress in a 12lb Napoleonic cannon
Don Blanchet
 
Highway wind damage
Highway wind damageHighway wind damage
Highway wind damage
Don Blanchet
 
Fan blade resonances
Fan blade resonancesFan blade resonances
Fan blade resonances
Don Blanchet
 
Lap shear bolted plates
Lap shear bolted platesLap shear bolted plates
Lap shear bolted plates
Don Blanchet
 
Santa maria revisited with fea
Santa maria revisited with fea Santa maria revisited with fea
Santa maria revisited with fea
Don Blanchet
 
Dual level vibe isolation
Dual level vibe isolationDual level vibe isolation
Dual level vibe isolation
Don Blanchet
 
Automotive CV joint rubber boot stress analysis
Automotive CV joint rubber boot stress analysisAutomotive CV joint rubber boot stress analysis
Automotive CV joint rubber boot stress analysis
Don Blanchet
 
Engine compression ratio study
Engine compression ratio studyEngine compression ratio study
Engine compression ratio study
Don Blanchet
 
Nonlinear FEA analysis Rubber gasket
Nonlinear FEA analysis Rubber gasketNonlinear FEA analysis Rubber gasket
Nonlinear FEA analysis Rubber gasket
Don Blanchet
 

More from Don Blanchet (20)

Boat trailure winch bolt failure
Boat trailure winch bolt failureBoat trailure winch bolt failure
Boat trailure winch bolt failure
 
Bow thruster collision
Bow thruster collisionBow thruster collision
Bow thruster collision
 
Cross axis vibration
Cross axis vibrationCross axis vibration
Cross axis vibration
 
Ceramic cavity resonator
Ceramic cavity resonatorCeramic cavity resonator
Ceramic cavity resonator
 
Shock sensitive components mythology
Shock sensitive components mythologyShock sensitive components mythology
Shock sensitive components mythology
 
TQFP HALT testing stress analysis
TQFP HALT testing stress analysisTQFP HALT testing stress analysis
TQFP HALT testing stress analysis
 
Flex coupling stress analysis
Flex coupling stress analysisFlex coupling stress analysis
Flex coupling stress analysis
 
Graphics card resonances
Graphics card resonancesGraphics card resonances
Graphics card resonances
 
Stiffening of a shock lab test chassis
Stiffening of a shock lab test chassisStiffening of a shock lab test chassis
Stiffening of a shock lab test chassis
 
Cordwood electronic packaging
Cordwood electronic packagingCordwood electronic packaging
Cordwood electronic packaging
 
Drill bit life calculation
Drill bit life calculationDrill bit life calculation
Drill bit life calculation
 
Barrel stress in a 12lb Napoleonic cannon
Barrel stress in a 12lb Napoleonic cannonBarrel stress in a 12lb Napoleonic cannon
Barrel stress in a 12lb Napoleonic cannon
 
Highway wind damage
Highway wind damageHighway wind damage
Highway wind damage
 
Fan blade resonances
Fan blade resonancesFan blade resonances
Fan blade resonances
 
Lap shear bolted plates
Lap shear bolted platesLap shear bolted plates
Lap shear bolted plates
 
Santa maria revisited with fea
Santa maria revisited with fea Santa maria revisited with fea
Santa maria revisited with fea
 
Dual level vibe isolation
Dual level vibe isolationDual level vibe isolation
Dual level vibe isolation
 
Automotive CV joint rubber boot stress analysis
Automotive CV joint rubber boot stress analysisAutomotive CV joint rubber boot stress analysis
Automotive CV joint rubber boot stress analysis
 
Engine compression ratio study
Engine compression ratio studyEngine compression ratio study
Engine compression ratio study
 
Nonlinear FEA analysis Rubber gasket
Nonlinear FEA analysis Rubber gasketNonlinear FEA analysis Rubber gasket
Nonlinear FEA analysis Rubber gasket
 

Recently uploaded

Forklift Classes Overview by Intella Parts
Forklift Classes Overview by Intella PartsForklift Classes Overview by Intella Parts
Forklift Classes Overview by Intella Parts
Intella Parts
 
Unbalanced Three Phase Systems and circuits.pptx
Unbalanced Three Phase Systems and circuits.pptxUnbalanced Three Phase Systems and circuits.pptx
Unbalanced Three Phase Systems and circuits.pptx
ChristineTorrepenida1
 
CW RADAR, FMCW RADAR, FMCW ALTIMETER, AND THEIR PARAMETERS
CW RADAR, FMCW RADAR, FMCW ALTIMETER, AND THEIR PARAMETERSCW RADAR, FMCW RADAR, FMCW ALTIMETER, AND THEIR PARAMETERS
CW RADAR, FMCW RADAR, FMCW ALTIMETER, AND THEIR PARAMETERS
veerababupersonal22
 
Hierarchical Digital Twin of a Naval Power System
Hierarchical Digital Twin of a Naval Power SystemHierarchical Digital Twin of a Naval Power System
Hierarchical Digital Twin of a Naval Power System
Kerry Sado
 
Cosmetic shop management system project report.pdf
Cosmetic shop management system project report.pdfCosmetic shop management system project report.pdf
Cosmetic shop management system project report.pdf
Kamal Acharya
 
Building Electrical System Design & Installation
Building Electrical System Design & InstallationBuilding Electrical System Design & Installation
Building Electrical System Design & Installation
symbo111
 
在线办理(ANU毕业证书)澳洲国立大学毕业证录取通知书一模一样
在线办理(ANU毕业证书)澳洲国立大学毕业证录取通知书一模一样在线办理(ANU毕业证书)澳洲国立大学毕业证录取通知书一模一样
在线办理(ANU毕业证书)澳洲国立大学毕业证录取通知书一模一样
obonagu
 
Investor-Presentation-Q1FY2024 investor presentation document.pptx
Investor-Presentation-Q1FY2024 investor presentation document.pptxInvestor-Presentation-Q1FY2024 investor presentation document.pptx
Investor-Presentation-Q1FY2024 investor presentation document.pptx
AmarGB2
 
Student information management system project report ii.pdf
Student information management system project report ii.pdfStudent information management system project report ii.pdf
Student information management system project report ii.pdf
Kamal Acharya
 
Gen AI Study Jams _ For the GDSC Leads in India.pdf
Gen AI Study Jams _ For the GDSC Leads in India.pdfGen AI Study Jams _ For the GDSC Leads in India.pdf
Gen AI Study Jams _ For the GDSC Leads in India.pdf
gdsczhcet
 
Technical Drawings introduction to drawing of prisms
Technical Drawings introduction to drawing of prismsTechnical Drawings introduction to drawing of prisms
Technical Drawings introduction to drawing of prisms
heavyhaig
 
Tutorial for 16S rRNA Gene Analysis with QIIME2.pdf
Tutorial for 16S rRNA Gene Analysis with QIIME2.pdfTutorial for 16S rRNA Gene Analysis with QIIME2.pdf
Tutorial for 16S rRNA Gene Analysis with QIIME2.pdf
aqil azizi
 
Heap Sort (SS).ppt FOR ENGINEERING GRADUATES, BCA, MCA, MTECH, BSC STUDENTS
Heap Sort (SS).ppt FOR ENGINEERING GRADUATES, BCA, MCA, MTECH, BSC STUDENTSHeap Sort (SS).ppt FOR ENGINEERING GRADUATES, BCA, MCA, MTECH, BSC STUDENTS
Heap Sort (SS).ppt FOR ENGINEERING GRADUATES, BCA, MCA, MTECH, BSC STUDENTS
Soumen Santra
 
Pile Foundation by Venkatesh Taduvai (Sub Geotechnical Engineering II)-conver...
Pile Foundation by Venkatesh Taduvai (Sub Geotechnical Engineering II)-conver...Pile Foundation by Venkatesh Taduvai (Sub Geotechnical Engineering II)-conver...
Pile Foundation by Venkatesh Taduvai (Sub Geotechnical Engineering II)-conver...
AJAYKUMARPUND1
 
Basic Industrial Engineering terms for apparel
Basic Industrial Engineering terms for apparelBasic Industrial Engineering terms for apparel
Basic Industrial Engineering terms for apparel
top1002
 
Harnessing WebAssembly for Real-time Stateless Streaming Pipelines
Harnessing WebAssembly for Real-time Stateless Streaming PipelinesHarnessing WebAssembly for Real-time Stateless Streaming Pipelines
Harnessing WebAssembly for Real-time Stateless Streaming Pipelines
Christina Lin
 
road safety engineering r s e unit 3.pdf
road safety engineering  r s e unit 3.pdfroad safety engineering  r s e unit 3.pdf
road safety engineering r s e unit 3.pdf
VENKATESHvenky89705
 
一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理
一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理
一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理
zwunae
 
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)
MdTanvirMahtab2
 
NUMERICAL SIMULATIONS OF HEAT AND MASS TRANSFER IN CONDENSING HEAT EXCHANGERS...
NUMERICAL SIMULATIONS OF HEAT AND MASS TRANSFER IN CONDENSING HEAT EXCHANGERS...NUMERICAL SIMULATIONS OF HEAT AND MASS TRANSFER IN CONDENSING HEAT EXCHANGERS...
NUMERICAL SIMULATIONS OF HEAT AND MASS TRANSFER IN CONDENSING HEAT EXCHANGERS...
ssuser7dcef0
 

Recently uploaded (20)

Forklift Classes Overview by Intella Parts
Forklift Classes Overview by Intella PartsForklift Classes Overview by Intella Parts
Forklift Classes Overview by Intella Parts
 
Unbalanced Three Phase Systems and circuits.pptx
Unbalanced Three Phase Systems and circuits.pptxUnbalanced Three Phase Systems and circuits.pptx
Unbalanced Three Phase Systems and circuits.pptx
 
CW RADAR, FMCW RADAR, FMCW ALTIMETER, AND THEIR PARAMETERS
CW RADAR, FMCW RADAR, FMCW ALTIMETER, AND THEIR PARAMETERSCW RADAR, FMCW RADAR, FMCW ALTIMETER, AND THEIR PARAMETERS
CW RADAR, FMCW RADAR, FMCW ALTIMETER, AND THEIR PARAMETERS
 
Hierarchical Digital Twin of a Naval Power System
Hierarchical Digital Twin of a Naval Power SystemHierarchical Digital Twin of a Naval Power System
Hierarchical Digital Twin of a Naval Power System
 
Cosmetic shop management system project report.pdf
Cosmetic shop management system project report.pdfCosmetic shop management system project report.pdf
Cosmetic shop management system project report.pdf
 
Building Electrical System Design & Installation
Building Electrical System Design & InstallationBuilding Electrical System Design & Installation
Building Electrical System Design & Installation
 
在线办理(ANU毕业证书)澳洲国立大学毕业证录取通知书一模一样
在线办理(ANU毕业证书)澳洲国立大学毕业证录取通知书一模一样在线办理(ANU毕业证书)澳洲国立大学毕业证录取通知书一模一样
在线办理(ANU毕业证书)澳洲国立大学毕业证录取通知书一模一样
 
Investor-Presentation-Q1FY2024 investor presentation document.pptx
Investor-Presentation-Q1FY2024 investor presentation document.pptxInvestor-Presentation-Q1FY2024 investor presentation document.pptx
Investor-Presentation-Q1FY2024 investor presentation document.pptx
 
Student information management system project report ii.pdf
Student information management system project report ii.pdfStudent information management system project report ii.pdf
Student information management system project report ii.pdf
 
Gen AI Study Jams _ For the GDSC Leads in India.pdf
Gen AI Study Jams _ For the GDSC Leads in India.pdfGen AI Study Jams _ For the GDSC Leads in India.pdf
Gen AI Study Jams _ For the GDSC Leads in India.pdf
 
Technical Drawings introduction to drawing of prisms
Technical Drawings introduction to drawing of prismsTechnical Drawings introduction to drawing of prisms
Technical Drawings introduction to drawing of prisms
 
Tutorial for 16S rRNA Gene Analysis with QIIME2.pdf
Tutorial for 16S rRNA Gene Analysis with QIIME2.pdfTutorial for 16S rRNA Gene Analysis with QIIME2.pdf
Tutorial for 16S rRNA Gene Analysis with QIIME2.pdf
 
Heap Sort (SS).ppt FOR ENGINEERING GRADUATES, BCA, MCA, MTECH, BSC STUDENTS
Heap Sort (SS).ppt FOR ENGINEERING GRADUATES, BCA, MCA, MTECH, BSC STUDENTSHeap Sort (SS).ppt FOR ENGINEERING GRADUATES, BCA, MCA, MTECH, BSC STUDENTS
Heap Sort (SS).ppt FOR ENGINEERING GRADUATES, BCA, MCA, MTECH, BSC STUDENTS
 
Pile Foundation by Venkatesh Taduvai (Sub Geotechnical Engineering II)-conver...
Pile Foundation by Venkatesh Taduvai (Sub Geotechnical Engineering II)-conver...Pile Foundation by Venkatesh Taduvai (Sub Geotechnical Engineering II)-conver...
Pile Foundation by Venkatesh Taduvai (Sub Geotechnical Engineering II)-conver...
 
Basic Industrial Engineering terms for apparel
Basic Industrial Engineering terms for apparelBasic Industrial Engineering terms for apparel
Basic Industrial Engineering terms for apparel
 
Harnessing WebAssembly for Real-time Stateless Streaming Pipelines
Harnessing WebAssembly for Real-time Stateless Streaming PipelinesHarnessing WebAssembly for Real-time Stateless Streaming Pipelines
Harnessing WebAssembly for Real-time Stateless Streaming Pipelines
 
road safety engineering r s e unit 3.pdf
road safety engineering  r s e unit 3.pdfroad safety engineering  r s e unit 3.pdf
road safety engineering r s e unit 3.pdf
 
一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理
一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理
一比一原版(IIT毕业证)伊利诺伊理工大学毕业证成绩单专业办理
 
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)
 
NUMERICAL SIMULATIONS OF HEAT AND MASS TRANSFER IN CONDENSING HEAT EXCHANGERS...
NUMERICAL SIMULATIONS OF HEAT AND MASS TRANSFER IN CONDENSING HEAT EXCHANGERS...NUMERICAL SIMULATIONS OF HEAT AND MASS TRANSFER IN CONDENSING HEAT EXCHANGERS...
NUMERICAL SIMULATIONS OF HEAT AND MASS TRANSFER IN CONDENSING HEAT EXCHANGERS...
 

BGA FEA underfll study