A topic in the Open Knowledge Graph — a free, open map of 15,290 topics and the order to learn them in.

Dislocations: Types and Movement

College Depth 163 in the knowledge graph ☐ I know this ☆ Set as goal
28topics build on this
964prerequisites beneath it
See this on the map →
Point Defects: Vacancies, Interstitials, and ImpuritiesStress-Strain Behavior and Elastic Properties→→Grain Boundaries and Interfacial DefectsMechanisms of Plastic Deformation and Slip
dislocations defects line-defects

Core Idea

Dislocations are line defects where the crystal lattice structure is disrupted along a line; edge and screw dislocations are the primary types, differing in geometry and stress response. Dislocations move through crystals under applied stress via glide and climb mechanisms, enabling plastic deformation at stresses orders of magnitude lower than theoretical predictions. Understanding dislocation mechanics is fundamental to explaining material strength, work hardening, and creep behavior.

Explainer

From your study of point defects, you know that crystal lattices are never perfect — vacancies, interstitials, and substitutional atoms create local distortions. Dislocations are a different category of imperfection: they are line defects, meaning the disruption extends along a one-dimensional line through the crystal rather than being localized to a single lattice site. The two fundamental types are defined by the relationship between the Burgers vector b (the magnitude and direction of lattice distortion) and the dislocation line direction.

An edge dislocation can be pictured as an extra half-plane of atoms wedged into the upper portion of a crystal. The Burgers vector is perpendicular to the dislocation line. Under shear stress, an edge dislocation moves by shifting the extra half-plane one atomic spacing at a time — the bonds on one side break and reform on the other — so the dislocation line advances while the overall crystal extends by one Burgers vector. A screw dislocation has its Burgers vector parallel to the dislocation line, creating a helical arrangement of atomic planes (if you walk around the dislocation in a closed loop, you end up one lattice spacing higher or lower). Real dislocations in crystals are often mixed dislocations with both edge and screw character, curving through the lattice. Both types move primarily by glide — motion within a specific crystallographic slip plane — but edge dislocations can also climb perpendicular to their glide plane by absorbing or emitting vacancies, a thermally activated process important for creep at high temperatures.

The most important insight dislocations provide is resolving the enormous discrepancy between theoretical and observed yield strength. If you calculate the stress needed to slide two halves of a perfect crystal past each other (breaking all bonds simultaneously along the slip plane), you get values around G/10 to G/30, where G is the shear modulus — roughly 1–10 GPa for metals. But real metals yield at 10–100 MPa, a factor of 10–1000 lower. The resolution is that dislocations allow slip to propagate sequentially rather than simultaneously. Imagine moving a heavy rug across a floor: dragging the whole rug at once requires enormous force, but creating a small wrinkle (a "dislocation") and pushing the wrinkle forward requires far less. Each bond breaks and reforms locally as the dislocation passes; the net effect is the same macroscopic slip, but achieved at a fraction of the theoretical stress.

Dislocation density ρ (the total length of dislocation line per unit volume, in m/m³ = m⁻²) determines mechanical behavior. Annealed metals have ρ ≈ 10¹⁰–10¹² m⁻², while heavily cold-worked metals reach 10¹⁵–10¹⁶ m⁻². As density increases, dislocations interact and tangle, impeding each other's motion — this is the mechanism of work hardening: the more you deform a metal, the harder it becomes to deform further. Every strengthening mechanism in metals ultimately works by making dislocation motion more difficult, either by creating obstacles (precipitates, grain boundaries), generating internal stress fields (solute atoms), or multiplying dislocation density to create a tangled network that locks itself in place.

Practice Questions 5 questions

Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Angle Pairs: Complementary, Supplementary, and Vertical → Parallel Lines and Transversals → Corresponding Angles → Alternate Interior Angles → Triangle Angle Sum Theorem → Exterior Angle Theorem → Triangle Inequality Theorem → Similar Triangles: AA Similarity → Similar Triangles: SSS and SAS Similarity → Proportions in Similar Triangles → Right Triangle Trigonometry Introduction → Sine, Cosine, and Tangent Ratios → Trigonometric Ratios Review → Radian Measure → Converting Between Degrees and Radians → The Unit Circle → Graphing Sine and Cosine → Graphing Tangent and Reciprocal Trigonometric Functions → Derivatives of Trigonometric Functions → Antiderivatives → Indefinite Integrals → Basic Integration Rules → Riemann Sums → Definite Integral Definition → Double Integrals: Definition and Setup → Iterated Integrals and Fubini's Theorem → Double Integrals over Rectangular Regions → Double Integrals over General Regions → Applications of Double Integrals: Area, Mass, and Moments → Triple Integrals in Cartesian Coordinates → Triple Integrals in Cylindrical and Spherical Coordinates → Change of Variables and the Jacobian Determinant → Applications of Triple Integrals: Volume and Mass → Vector Fields and Their Representations → Line Integrals of Vector Fields → Work and Circulation → Line Integrals of Scalar and Vector Functions → Fundamental Theorem for Line Integrals → Conservative Vector Fields → Conservative Vector Fields and Potential Functions → Curl and Divergence of Vector Fields → Curl and Divergence → Divergence Theorem → Electric Flux and Divergence Theorem → Gauss's Law: Integral Form and Meaning → Solving Problems with Gauss's Law → Conductors in Electrostatic Equilibrium → Capacitance and Capacitors → Dielectrics → Dielectric Constant and Relative Permittivity → Electric Field Inside Dielectric Materials → Dielectric Materials and Polarization → Dielectric Susceptibility and Permittivity → Energy Density in Electric Fields → Electric Current and Current Density → Electrical Resistance and Resistivity → Ohm's Law and Circuit Elements → Electromotive Force (EMF) and Batteries → Kirchhoff's Circuit Laws: Voltage and Current → DC Circuit Network Analysis Methods → Transient Response in RC Circuits → RC Circuits → LC and RLC Circuits → AC Circuits: Fundamentals → Impedance and Reactance → AC Power and Resonance → Electromagnetic Waves → Postulates of Special Relativity → Time Dilation → Length Contraction → Lorentz Transformation → Relativistic Velocity Addition → Relativistic Momentum and Energy → Mass-Energy Equivalence and E=mc² → Photons as Particles with Energy and Momentum → Planck-Einstein Relation: Energy and Frequency → Photoelectric Effect → The Photon: Light as Quanta → Compton Scattering → Wave-Particle Duality → de Broglie Wavelength → The Schrödinger Equation → State Vectors and Wavefunctions → Quantum Superposition → Quantum Entanglement → Bell Theorem and Bell Inequalities → Postulates of Quantum Mechanics → Observables and Quantum Operators → Commutators and Commutation Relations → Quantum Angular Momentum → Quantum Mechanical Treatment of Hydrogen → Solving the Schrödinger Equation for Hydrogen Atom → Quantum Numbers → Electron Configuration → Periodic Trends → Covalent Bonding → Electronegativity and Bond Polarity → Ionic Bonding → Metallic Bonding → Atomic Bonding in Solids → Crystal Systems and Bravais Lattices → Point Defects: Vacancies, Interstitials, and Impurities → Dislocations: Types and Movement

Longest path: 164 steps · 964 total prerequisite topics

Prerequisites (2)

Leads To (2)