Crystal Dislocations — Edge Defects, Burgers Vector & Hall-Petch

🔩 Crystal Dislocations

An edge dislocation is an extra half-plane of atoms inserted into the lattice. The Burgers vector b quantifies the displacement mismatch. Under shear stress, the dislocation glides — atoms switch bonds one at a time, requiring far less force than moving an entire plane. The Hall-Petch relation σ_y = σ₀ + k/√d shows that finer grains are stronger.

🎛 Controls

Shear stress (MPa) 50 Grain size d (μm) 50 Animation speed 1.0×

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📊 Mechanics

Peierls stress (MPa)

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Yield strength (MPa)

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Gliding

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Grain type

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