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Material Science & Metallurgy

From transcript: 20ME440 Material Science and Metallurgy (A)

Cheat sheet

Printable study sheet: formulas → definitions → topic notes → traps.

Formulas

Atomic packing factor: FCC/HCP 0.74; BCC 0.68; simple cubic 0.52
Hall–Petch: σy = σ0 + k / √d (d = grain size)
True stress σ_t = σ(1+e) ; true strain ε = ln(1+e) (before necking)
Lever rule: fraction α = (Cβ − C0)/(Cβ − Cα)
Cooling rate & TTT: nose of curve sets pearlite vs bainite vs martensite paths
Hardenability: depth of hardness — Jominy end-quench
% elongation / reduction of area — ductility measures
Hall–Petch: σy = σ0 + k d^(−1/2)
Fick's 1st: J = −D ∂C/∂x
Arrhenius: D = D0 exp(−Q/RT)
Lever rule (phase diagram): fraction = opposite arm / total

Definitions

Crystal structure
FCC, BCC, HCP packing & slip systems → ductility
Dislocation
Line defect enabling plastic slip at stresses << theoretical
Grain boundary
Obstacle to slip — refine grains to strengthen
Phase diagram
Equilibrium phases vs T, composition
Eutectic / eutectoid
Liquid→two solids; solid→two solids (Fe–C: 727°C pearlite)
Martensite
Diffusionless BCT from quench — hard, brittle until tempered
Annealing
Softening + recrystallization; relieve residual stress
Normalizing
Air cool from austenite — refine grains, uniform structure
Tempering
Reheat martensite — toughness up, hardness down
Precipitation hardening
GP zones/precipitates impede dislocations (Al alloys)
Crystal structures
FCC, BCC, HCP — slip systems affect ductility
Heat treatment
Anneal, normalize, quench, temper — control microstructure

Topic-wise short notes

Study these first — one block per syllabus topic. Then read the deep notes below.

Structure–property relations

  • Slip systems: FCC many → ductile; HCP few → anisotropic/brittle tendency.
  • Strengthening: solid solution, strain harden, grain refine, precipitate, disperse.
  • Fracture: ductile dimples vs brittle cleavage; fatigue striations.
  • Creep: time-dependent strain at high T/Tm ; rupture life curves.
  • Corrosion & wear as 'property' in service selection.

Heat treatment & metallurgy

  • Austenitize → quench → temper path for martensitic steels.
  • Case hardening: carburize/nitride for hard surface, tough core.
  • Hardenability ≠ hardness: ability to form martensite deep.
  • Cast iron: graphite morphology (flake/nodular) controls properties.
  • Al/Cu/Ti: know precipitation vs work-hardening families.

Crystal structure & defects

  • Point, line, surface, volume defects — each alters properties differently.
  • Vacancies enable diffusion; climb of dislocations at high T.

Phase diagrams & heat treatment

  • Lever rule only in two-phase field at equilibrium.
  • Nonequilibrium cooling shifts effective diagrams — segregation, coring.

Selection & charts

  • Ashby charts: E–ρ, σy–ρ for light stiff/strong design.
  • Cost, corrosion, fab route often dominate pure strength.
  • Recyclability & supply risk increasingly part of selection.

Exam traps & quick notes

Comprehensive notes

Structure–property relations

Dislocations, strengthening mechanisms (solid solution, precipitation, cold work, grain size).

Heat treatment &amp; metallurgy

Iron–carbon diagram reading; hardenability (Jominy); non-ferrous alloys overview.

Crystal structure & defects

FCC/BCC/HCP; slip systems explain ductility. Vacancies, dislocations, grain boundaries. Hall–Petch: finer grains → higher yield.

Phase diagrams & heat treatment

Lever rule; Fe–C diagram landmarks. Anneal/normalize/quench/temper pathways; TTT vs CCT. Hardenability (Jominy). Non-ferrous: Al alloys precipitation hardening basics.

Interview Q&A for this subject

Q: Why does cold work strengthen metals?
A: Dislocation density rises; they impede each other — strength up, ductility down; anneal recovers.