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Review: FE Exam
• Text: “Materials Science and Engineering:
An Introduction,” 6th ed., William D.
Callister, Jr., Wiley, 2003.
Review: FE Exam
– Part 1 – atomic structure & bonding
• What holds materials together?
– Part 2 – Imperfections in solids
• How are they packed?
– Part 3 – mechanical properties
• How do they deform?
Review: Chapter 1 – Introduction
• Types of Materials
– Metals
– Polymers
– Ceramics
Review: Chapt 2-Atomic Structure
• Atomic Number, Atomic Weight, etc.
• Periodic table
– Electron Structure - valence electrons –
unfilled shells
• Bonding
– ionic
– covalent
– metallic
– van der Waals
Review: Chapt 3 – Crystal
Structures
• Unit Cell
– Metals
• BCC
• FCC
• HCP
• Atomic packing factor
• Coordination number
• Crystallographic directions [uvw]
families of directions <uvw>
• Linear density of atoms (ld) = atoms/unit
length
Review: Chapt 3 – Crystal
Structures (cont.)
• Miller indices of planes (hkl)
families of planes {hkl}
• Planar density (pd) = # of atoms/ unit area
(pd) = S.A. atoms/S.A. unit cell
• X-Ray Diffraction
– Bragg’s law



sin
2
n
dhk
Review: Chapter 4
• Imperfections
– Point defects
• Interstitial
• Vacancy
• Substitution
• Solid solutions
– Line defects
• Edge dislocation - Burgers vector perpendicular to
dislocation line
• Screw dislocation - Burgers vector parallel to
dislocation line
– Planar defects
• Twin
• Stacking fault
• Grain Boundary
Review: Chapter 4 (cont.)
• Microscopy
– Optical
– Electron Microscopy
– Sample Prep – polishing & etching
Review: Chapter 5
• Diffusion
– Vacancy diffusion
– Interstitial diffusion
– Fick’s First Law
Second Law
– Temp effect
– Slab- non-steady state
dx
dC
D
J 

2
2
x
C
D
t
C













RT
Q
exp
D
D d
0










Dt
2
x
erf
1
C
C
C
C
0
s
0
x
Review: Chapter 19
• Thermal Properties
– Heat Capacity
• C = dQ/dT Cp > Cv
– phonons
– thermal expansion coefficient
• l/l = l T
– thermal conduction of heat
• q = -k (dT/dx)
– k = heat transfer coefficient
Review: Chapter 6
Mechanical Properties
• Stress vs. strain
• Hooke’s law s  E e
A
F
0

s
0
0


 

e
sy
TS
sF
E
Review: Chapter 6
• Poisson’s Ratio
• Toughness
• Resilience
• Hardness
z
x
z
y
e
e


e
e



Review – Chapter 7
Dislocations and Strengthening Mechanisms
• Deformation by motion of dislocations
– Slip plane – plane of easiest deformation
– Slip direction – direction of easiest slippage
– Slip system – direction and plane
• Applied stress must be resolved along slip direction
–  = s cos cos
• Twinning
• Mechanism of strengthening
– Grain size reduction
– Solid-solution hardening
• impurities reduce mobility of dislocations
– Strain hardening %CW = 100 x (A0-Af)/A0
• Recovery, recrystallization, & grain growth
Review – Chapter 8
Fracture – failure
– Ductile fracture
• Large deformations
– cone & cup
– small necked regions
– Brittle fracture
• Almost no deformation other than failure
– transgranular – within grain
– intergranular- between grains
Review, Chapter 8 (cont.)
• Griffith Crack - Stress concentration
– Critical stress
• Fatigue – cyclic stress
• Creep
2
1
s
c
a
E
2









s
0
t
m K s

s
Review- Chapter 9
Phase Diagrams
• Isomorphous system
– 1. How many &
which phases
– 2. Use tie line to
read compositions
– 3. Use lever rule
to get weight
fractions
Review- Chapter 9
• binary eutectic system
– 1. How many & which phases
– 2. Use tie line to read compositions
– 3. Use lever rule to get weight fractions
Review- Chapter 9 (cont.)
• Eutectic L S1+S2
• Eutectoid S1 S2+S3
• Peritectic S1+L S2
• Hypoeutectoid
• Hypereutectoid
cool
heat
cool
heat
cool
heat
Review - Chapter 10
Rate of Phase Transformation
• Nucleation process
Review - Chapter 10 (cont)
• Phase transformations vs. temperature
and time
– Pearlite
– Martensite
– Bainite
– Spheroidite
Chapter 11
• Heat Treatments
Review – Chapter 11
Fabrication of Metals
• Forming
– Forging
– Rolling
– Extrusion
– Drawing
• Casting
• Powder metallurgy
• Welding
• Machining
• Alloy Nomenclature
• Cast Irons – addition of Si catalyzes graphite
formation
• Refractories
Review – Chapter 12
Ceramics
• Crystal structures
– oxygen larger – generally in FCC lattice
– cations go in lattice sites based on
• size
• stoichiometry
• charge balance
• bond hybridization
– no good slip planes – brittle failure
• Silicates
– built up of SiO4
4-
– layered
– countercations to neutralize charge
Chapter 12 – Ceramics
• Carbon forms
– diamond
– graphite
– fullerenes
– amorphous
• Lattice imperfections
– Frenkel defect – cation displaced into
interstitial site
– Schottky defect – missing cation/anion pair
• Phase diagrams
• Mechanical properties
Chapter 13 – Ceramics (cont)
• Glasses
– amorphous sodium or borosilicates
– Forming
• pressing
• drawing
• blowing
• Clay products - forming
– Hydroplastic forming
– Slip casting
– Refractories
– Powder pressing
• Cements
• Advanced ceramics
Chapter 14 – Polymers
• Types of polymers
– Commodity plastics
• PE = Polyethylene
• PS = Polystyrene
• PP = Polypropylene
• PVC = Poly(vinyl chloride)
• PET = Poly(ethylene terephthalate)
– Specialty or Engineering Plastics
• Teflon (PTFE) = Poly(tetrafluoroethylene)
• PC = Polycarbonate (Lexan)
• Polysulfones
• Polyesters and Polyamides (Nylon)
Chapter 14 – Polymers
• Molecular Weight
– Actually a molecular weight distribution
– Mn = Number-averaged molecular weight
– Mw = Weight-averaged molecular weight
– Polydispersity = Mw/Mn
• A measure of the width of the distribution
• Chain Shapes
– linear
– branched
– crosslinked
– network
Chapter 14 & 15 – Polymers
• Isomerism
– Isotactic
– Syndiotactic
– Atactic
– Cis vs. Trans
– Copolymers
• Random
• Alternating
• Block
• Crystallinity
– Spherulites
Chapter 16 – Composites
• Combine materials with objective of getting a
more desirable combination of properties
• Dispersed phase
• Matrix
• Particle reinforced
– large particle
– dispersion strengthened
• Rule of mixtures
– Upper limit Ec(u) = EmVm + EpVp
– Lower limit  
E
V
E
V
E
E
E
m
p
p
m
p
m
c



Chapter 16 – Composites
• Reinforced concrete
• Prestressed concrete
• Fiber reinforced
– Short vs. long fibers
– Critical length
– allignment
c
f
c
2
d

s


Chapter 18 – Electrical Properties
Definitions
• R = resistance = Ohms
•  = RA/l = resistivity = ohm meter
• s = 1/ = conductivity
• C = Q/V = capacitance
• er = e/eo = dielectric constant
Chapter 18 – Electrical Properties
• Energy Bands – valance vs. conduction
– Conductor – no band gap
– Insulator – wide gap
– Semiconductor – narrow gap
• Intrinsic – pure or compound
– Electron vs. hole (which carries charge)
• Extrinsic (doped)
– n-type – donor levels – extra electrons
– p-type – acceptor levels – extra holes
• Microelectronics
– pn junction – rectifier diode
– npn transistor
Chapter 20 – Superconductivity
• Tc = temperature below which
superconducting
= critical temperature
Jc = critical current density if J > Jc not
superconducting
Hc = critical magnetic field if H > Hc not
superconducting
• Meissner Effect - Superconductors expel
magnetic fields
Chapter 21 – Optical Properties
• Electromagnetic radiation
• Angle of refraction at interface





hc
h
E
)
medium
in
light
of
velocity
(
v
)
vacuum
in
light
of
velocity
(
c
index
refractive
n 




 sin
sin
n
n
Chapter 21 – Optical Properties
• Light interaction with solids
– Reflection
– Absorption
– Scattering
– Transmission
• Semiconductors – absorb light with energy
greater than band gap
• Luminescence – emission of light by a material
– phosphorescence = If very stable (long-lived = >10-8 s)
– fluorescence = If less stable (<10-8 s)
• LASERS – coherent light
• Fiber optics
ty
reflectivi
2
n
1
n
R
2










t
I
I
ln
0









Questions???
• Contact Prof. David Rethwisch to discuss
questions.
– office 4139 SC
– Phone 335-1413
– email david-rethwisch@uiowa.edu

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FE_review.ppt

  • 1. Review: FE Exam • Text: “Materials Science and Engineering: An Introduction,” 6th ed., William D. Callister, Jr., Wiley, 2003.
  • 2. Review: FE Exam – Part 1 – atomic structure & bonding • What holds materials together? – Part 2 – Imperfections in solids • How are they packed? – Part 3 – mechanical properties • How do they deform?
  • 3. Review: Chapter 1 – Introduction • Types of Materials – Metals – Polymers – Ceramics
  • 4. Review: Chapt 2-Atomic Structure • Atomic Number, Atomic Weight, etc. • Periodic table – Electron Structure - valence electrons – unfilled shells • Bonding – ionic – covalent – metallic – van der Waals
  • 5. Review: Chapt 3 – Crystal Structures • Unit Cell – Metals • BCC • FCC • HCP • Atomic packing factor • Coordination number • Crystallographic directions [uvw] families of directions <uvw> • Linear density of atoms (ld) = atoms/unit length
  • 6. Review: Chapt 3 – Crystal Structures (cont.) • Miller indices of planes (hkl) families of planes {hkl} • Planar density (pd) = # of atoms/ unit area (pd) = S.A. atoms/S.A. unit cell • X-Ray Diffraction – Bragg’s law    sin 2 n dhk
  • 7. Review: Chapter 4 • Imperfections – Point defects • Interstitial • Vacancy • Substitution • Solid solutions – Line defects • Edge dislocation - Burgers vector perpendicular to dislocation line • Screw dislocation - Burgers vector parallel to dislocation line – Planar defects • Twin • Stacking fault • Grain Boundary
  • 8. Review: Chapter 4 (cont.) • Microscopy – Optical – Electron Microscopy – Sample Prep – polishing & etching
  • 9. Review: Chapter 5 • Diffusion – Vacancy diffusion – Interstitial diffusion – Fick’s First Law Second Law – Temp effect – Slab- non-steady state dx dC D J   2 2 x C D t C              RT Q exp D D d 0           Dt 2 x erf 1 C C C C 0 s 0 x
  • 10. Review: Chapter 19 • Thermal Properties – Heat Capacity • C = dQ/dT Cp > Cv – phonons – thermal expansion coefficient • l/l = l T – thermal conduction of heat • q = -k (dT/dx) – k = heat transfer coefficient
  • 11. Review: Chapter 6 Mechanical Properties • Stress vs. strain • Hooke’s law s  E e A F 0  s 0 0      e sy TS sF E
  • 12. Review: Chapter 6 • Poisson’s Ratio • Toughness • Resilience • Hardness z x z y e e   e e   
  • 13. Review – Chapter 7 Dislocations and Strengthening Mechanisms • Deformation by motion of dislocations – Slip plane – plane of easiest deformation – Slip direction – direction of easiest slippage – Slip system – direction and plane • Applied stress must be resolved along slip direction –  = s cos cos • Twinning • Mechanism of strengthening – Grain size reduction – Solid-solution hardening • impurities reduce mobility of dislocations – Strain hardening %CW = 100 x (A0-Af)/A0 • Recovery, recrystallization, & grain growth
  • 14. Review – Chapter 8 Fracture – failure – Ductile fracture • Large deformations – cone & cup – small necked regions – Brittle fracture • Almost no deformation other than failure – transgranular – within grain – intergranular- between grains
  • 15. Review, Chapter 8 (cont.) • Griffith Crack - Stress concentration – Critical stress • Fatigue – cyclic stress • Creep 2 1 s c a E 2          s 0 t m K s  s
  • 16. Review- Chapter 9 Phase Diagrams • Isomorphous system – 1. How many & which phases – 2. Use tie line to read compositions – 3. Use lever rule to get weight fractions
  • 17. Review- Chapter 9 • binary eutectic system – 1. How many & which phases – 2. Use tie line to read compositions – 3. Use lever rule to get weight fractions
  • 18. Review- Chapter 9 (cont.) • Eutectic L S1+S2 • Eutectoid S1 S2+S3 • Peritectic S1+L S2 • Hypoeutectoid • Hypereutectoid cool heat cool heat cool heat
  • 19. Review - Chapter 10 Rate of Phase Transformation • Nucleation process
  • 20. Review - Chapter 10 (cont) • Phase transformations vs. temperature and time – Pearlite – Martensite – Bainite – Spheroidite Chapter 11 • Heat Treatments
  • 21. Review – Chapter 11 Fabrication of Metals • Forming – Forging – Rolling – Extrusion – Drawing • Casting • Powder metallurgy • Welding • Machining • Alloy Nomenclature • Cast Irons – addition of Si catalyzes graphite formation • Refractories
  • 22. Review – Chapter 12 Ceramics • Crystal structures – oxygen larger – generally in FCC lattice – cations go in lattice sites based on • size • stoichiometry • charge balance • bond hybridization – no good slip planes – brittle failure • Silicates – built up of SiO4 4- – layered – countercations to neutralize charge
  • 23. Chapter 12 – Ceramics • Carbon forms – diamond – graphite – fullerenes – amorphous • Lattice imperfections – Frenkel defect – cation displaced into interstitial site – Schottky defect – missing cation/anion pair • Phase diagrams • Mechanical properties
  • 24. Chapter 13 – Ceramics (cont) • Glasses – amorphous sodium or borosilicates – Forming • pressing • drawing • blowing • Clay products - forming – Hydroplastic forming – Slip casting – Refractories – Powder pressing • Cements • Advanced ceramics
  • 25. Chapter 14 – Polymers • Types of polymers – Commodity plastics • PE = Polyethylene • PS = Polystyrene • PP = Polypropylene • PVC = Poly(vinyl chloride) • PET = Poly(ethylene terephthalate) – Specialty or Engineering Plastics • Teflon (PTFE) = Poly(tetrafluoroethylene) • PC = Polycarbonate (Lexan) • Polysulfones • Polyesters and Polyamides (Nylon)
  • 26. Chapter 14 – Polymers • Molecular Weight – Actually a molecular weight distribution – Mn = Number-averaged molecular weight – Mw = Weight-averaged molecular weight – Polydispersity = Mw/Mn • A measure of the width of the distribution • Chain Shapes – linear – branched – crosslinked – network
  • 27. Chapter 14 & 15 – Polymers • Isomerism – Isotactic – Syndiotactic – Atactic – Cis vs. Trans – Copolymers • Random • Alternating • Block • Crystallinity – Spherulites
  • 28. Chapter 16 – Composites • Combine materials with objective of getting a more desirable combination of properties • Dispersed phase • Matrix • Particle reinforced – large particle – dispersion strengthened • Rule of mixtures – Upper limit Ec(u) = EmVm + EpVp – Lower limit   E V E V E E E m p p m p m c   
  • 29. Chapter 16 – Composites • Reinforced concrete • Prestressed concrete • Fiber reinforced – Short vs. long fibers – Critical length – allignment c f c 2 d  s  
  • 30. Chapter 18 – Electrical Properties Definitions • R = resistance = Ohms •  = RA/l = resistivity = ohm meter • s = 1/ = conductivity • C = Q/V = capacitance • er = e/eo = dielectric constant
  • 31. Chapter 18 – Electrical Properties • Energy Bands – valance vs. conduction – Conductor – no band gap – Insulator – wide gap – Semiconductor – narrow gap • Intrinsic – pure or compound – Electron vs. hole (which carries charge) • Extrinsic (doped) – n-type – donor levels – extra electrons – p-type – acceptor levels – extra holes • Microelectronics – pn junction – rectifier diode – npn transistor
  • 32. Chapter 20 – Superconductivity • Tc = temperature below which superconducting = critical temperature Jc = critical current density if J > Jc not superconducting Hc = critical magnetic field if H > Hc not superconducting • Meissner Effect - Superconductors expel magnetic fields
  • 33. Chapter 21 – Optical Properties • Electromagnetic radiation • Angle of refraction at interface      hc h E ) medium in light of velocity ( v ) vacuum in light of velocity ( c index refractive n       sin sin n n
  • 34. Chapter 21 – Optical Properties • Light interaction with solids – Reflection – Absorption – Scattering – Transmission • Semiconductors – absorb light with energy greater than band gap • Luminescence – emission of light by a material – phosphorescence = If very stable (long-lived = >10-8 s) – fluorescence = If less stable (<10-8 s) • LASERS – coherent light • Fiber optics ty reflectivi 2 n 1 n R 2           t I I ln 0         
  • 35. Questions??? • Contact Prof. David Rethwisch to discuss questions. – office 4139 SC – Phone 335-1413 – email david-rethwisch@uiowa.edu