Engineering Materials and Testing
Crystal structures, the iron-carbon diagram, heat treatment of steels, mechanical properties, hardness and impact tests, and stress-strain behaviour of materials.
Manufacturing begins with choosing a material and knowing how it behaves. GATE asks about crystal structures, the iron–carbon diagram, heat treatment and material tests.
Crystal structures
| Structure | Atoms per cell | Coordination number | Packing factor | Examples |
|---|---|---|---|---|
| Simple cubic | 1 | 6 | 0.52 | Polonium |
| BCC | 2 | 8 | 0.68 | α-iron, Cr, W |
| FCC | 4 | 12 | 0.74 | γ-iron, Al, Cu, Ni |
| HCP | 6 | 12 | 0.74 | Zn, Mg, Ti |
FCC metals have many slip systems and are very ductile. Imperfections (vacancies, dislocations, grain boundaries) control strength: dislocation motion is how metals deform plastically.
Iron–carbon diagram
Key points (approximate):
- Eutectoid at 0.8% C and 727 °C: austenite → pearlite (ferrite + cementite).
- Eutectic at 4.3% C and 1147 °C: liquid → ledeburite.
- Steels have up to about 2.1% C; cast irons have more.
- Hypo-eutectoid steels (< 0.8% C) are ferrite + pearlite; hyper-eutectoid steels are pearlite + cementite.
Lever rule: the fraction of a phase in a two-phase region is the length of the opposite tie-line segment divided by the whole tie line.
Heat treatment
- Annealing: heat and cool slowly in the furnace → soft, ductile.
- Normalising: cool in still air → finer grains, a little stronger than annealed.
- Hardening (quenching): cool fast from austenite → martensite, very hard and brittle.
- Tempering: reheat hardened steel to a moderate temperature → tougher, slightly softer.
- Case hardening (carburising, nitriding, induction hardening): hard surface, tough core.
Mechanical properties and tests
- Tensile test: E, yield strength, UTS, % elongation, % reduction in area.
- Hardness: Brinell (ball, BHN = load/curved area), Vickers (diamond pyramid), Rockwell (depth of indentation; scales B and C).
- Impact test (Charpy, Izod): toughness, the energy to fracture a notched bar. BCC steels show a ductile-to-brittle transition at low temperature.
- Fatigue and creep tests: life under cyclic load, and slow deformation under constant load at high temperature.
Practice
How many atoms are there in an FCC unit cell?
Show answer and explanation
Answer: 48 corners × 1/8 + 6 face centres × 1/2 = 1 + 3 = 4.
What is the atomic packing factor of BCC? (Give 2 decimal places.)
Show answer and explanation
Answer: 0.68APF = π√3/8 ≈ 0.68.
Steel is quenched from the austenite range into water. The main phase formed is:
Show answer and explanation
Answer: CFast cooling stops carbon diffusion and traps it in a distorted lattice: martensite.
A Brinell test uses a 3000 kgf load and leaves an impression of curved area 15 mm². What is the BHN?
Show answer and explanation
Answer: 200BHN = load (kgf)/curved area (mm²) = 3000/15 = 200.