
A dislocation is a crystallographic defect or irregularity within a crystal structure where atoms are misaligned along a line.The crystal lattice is a three-dimensional pattern of atoms. A dislocation disrupts this pattern: it is the edge of an incomplete atomic plane wedged between full layers. Around the dislocation line, the crystal is strained. This stress allows the dislocation to move under load, rearranging atomic rows step by step. Thus the metal flows rather than cracks. In fact, any piece of metal contains billions of dislocations per square centimeter; their tangled movement is plasticity.
The concept of dislocations was introduced in 1934 by Geoffrey Taylor, Egon Orowan, and Michael Polanyi to resolve the paradox of the low strength of real crystals compared to theoretical estimates. In the 1940s, Jacques Friedel developed the theory of dislocation networks. Direct observation of dislocations in a transmission electron microscope was achieved by Peter Hirsch and colleagues in 1956. Subsequently, William Lawrence Bragg contributed to the understanding of dislocation structure using X-ray diffraction.
Under shear stress, a dislocation moves in the slip plane, sequentially breaking and reforming interatomic bonds. The Peierls–Nabarro stress determines the lattice resistance to motion. Schmid's law relates the critical resolved shear stress to the plane orientation. When dislocations meet, they can interact elastically, form Lomer–Cottrell barriers, or annihilate. The Orowan equation relates the plastic strain rate to the density of mobile dislocations, their velocity, and the Burgers vector: dε/dt = ρ_m b v. With increasing temperature, dislocation climb becomes possible through vacancy diffusion, which is essential for creep.
Forging metal, rolling steel, and the strength of alloys rely on the skillful management of dislocations — without them, an aluminum fuselage would crack rather than bend.
The yellow color of gold is partly due to dislocations, which affect light absorption. Without them, gold might be silvery, like most metals.
| τ_P | variable | Peierls-Nabarro stress — peierls nabarro stress pascal |
| G | variable | shear modulus of the crystal — shear modulus pascal |
| ν | variable | Poisson's ratio — poissons ratio |
| W | variable | dislocation width — dislocation width metre |
| b | variable | magnitude of the Burgers vector — burgers vector magnitude metre |



















