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Dislocation Types and Motion

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Crystal Defects: Point, Line, and PlanarPlastic Deformation and Slip Systems+1 moreDislocation Motion and Slip SystemsSolid Solution Strengthening+1 more
edge-dislocation screw-dislocation burgers-vector dislocation-glide dislocation-climb

Core Idea

Dislocations are the primary carriers of plastic deformation in crystalline materials, and they come in two idealized forms. An edge dislocation consists of an extra half-plane of atoms inserted into the lattice, with its Burgers vector perpendicular to the dislocation line. A screw dislocation creates a helical ramp of atoms, with its Burgers vector parallel to the dislocation line. Real dislocations are typically mixed, containing both edge and screw character along their length. Dislocations move by glide (conservative motion on the slip plane, requiring only bond rearrangement) or climb (non-conservative motion perpendicular to the slip plane, requiring vacancy diffusion and therefore elevated temperature). The interactions between dislocations — pinning, annihilation, junction formation — govern strain hardening behavior and are central to understanding why metals strengthen as they deform.

How It's Best Learned

Draw a Burgers circuit around both edge and screw dislocations to derive the Burgers vector direction and magnitude. Use physical models or 3D visualizations to see how glide moves a dislocation through the lattice versus how climb requires atoms to leave or join the extra half-plane. Connect dislocation multiplication (Frank-Read sources) to the observed increase in dislocation density during deformation.

Common Misconceptions

Explainer

From crystal defects, you know that a perfect crystal has a regular arrangement of atoms, and that point defects like vacancies disrupt this order locally. From plastic deformation, you know that metals yield not by breaking entire planes of bonds simultaneously — which would require stresses far higher than observed — but by moving defects through the lattice one atomic step at a time. The dislocation is that defect, and understanding its geometry explains why metals deform at stresses orders of magnitude below theoretical values.

An edge dislocation is most easily pictured by imagining an extra half-plane of atoms inserted partway into a crystal from above. The "tip" of this extra half-plane — where it ends inside the crystal — is the dislocation line. The lattice is compressed above the dislocation and stretched below. To quantify the disturbance, draw a closed rectangular path (Burgers circuit) around a region of perfect crystal: it closes perfectly. Draw the same circuit around the dislocation: it fails to close by one atomic spacing — the closure vector is the Burgers vector b, which for an edge dislocation points perpendicular to the dislocation line. When a shear stress is applied, the extra half-plane migrates through the crystal one atomic spacing at a time: bonds at the tip break and reform on the other side. This is glide, and it requires only bond rearrangement at the dislocation core — a process that needs no diffusion and can proceed at any temperature.

A screw dislocation is harder to visualize but equally important. Cut a crystal halfway through and displace the halves by one lattice parameter parallel to the cut plane: the crystal remains connected, but the atomic planes form a helical ramp. The dislocation line runs along the axis of the helix, and the Burgers vector is parallel to this line. The key property that distinguishes screw dislocations is cross-slip: because the Burgers vector is parallel to the line, the screw dislocation has no unique slip plane — it can jump from one plane to another if the stress geometry allows. This gives metals a ductility that pure edge-dislocation glide alone would not provide; dislocations can sidestep obstacles.

The distinction between glide and climb matters at high temperatures. Glide keeps the dislocation on its slip plane. Climb moves it perpendicular to the slip plane by absorbing or emitting vacancies — atoms leave the dislocation core (or arrive at it) from the surrounding lattice, driven by thermal fluctuations. Climb requires mass transport by vacancy diffusion, so it is strongly thermally activated. At room temperature climb is negligible; at elevated temperatures (roughly above 0.4 T_melting), climb becomes important enough to allow dislocations to bypass obstacles they cannot glide around. This is why materials creep under sustained load at high temperature — dislocations that glide to a barrier can slowly climb over it rather than piling up indefinitely.

Practice Questions 5 questions

Prerequisite Chain

Understanding ZeroThe Number ZeroCounting to FiveCounting to 10Counting to 20Counting a Set of Objects Up to 20Cardinality: The Last Number CountedMatching Numerals to QuantitiesSubitizing Small QuantitiesAddition Within 10Number Bonds to 10Addition Within 20Doubles and Near DoublesDoubles Facts Within 10Near Doubles Facts Within 20Mental Math Strategies for AdditionMental Math: Adding and Subtracting TensAddition Within 100Repeated Addition as MultiplicationMultiplication as Equal GroupsMultiplication: ArraysBasic Multiplication Facts (0s, 1s, 2s, 5s, 10s)Multiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Multiplication and Division Fact FamiliesRelationship Between Multiplication and DivisionDivision Facts as Inverse of MultiplicationRemainders and Quotients in DivisionDivision Word ProblemsMulti-Step Word ProblemsSolving Multi-Step Word ProblemsMultiplication Word ProblemsDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueIntegers and the Number LineComparing and Ordering IntegersAbsolute ValueAdding IntegersSubtracting IntegersMultiplying IntegersDividing IntegersUnit RatesProportionsPercent ConceptConverting Between Fractions, Decimals, and PercentsOperations with Rational NumbersTwo-Step EquationsSolving Multi-Step EquationsEquations with Variables on Both SidesAngle Pairs: Complementary, Supplementary, and VerticalParallel Lines and TransversalsCorresponding AnglesAlternate Interior AnglesTriangle Angle Sum TheoremExterior Angle TheoremTriangle Inequality TheoremSimilar Triangles: AA SimilaritySimilar Triangles: SSS and SAS SimilarityProportions in Similar TrianglesRight Triangle Trigonometry IntroductionSine, Cosine, and Tangent RatiosTrigonometric Ratios ReviewRadian MeasureConverting Between Degrees and RadiansThe Unit CircleGraphing Sine and CosineGraphing Tangent and Reciprocal Trigonometric FunctionsDerivatives of Trigonometric FunctionsAntiderivativesIndefinite IntegralsBasic Integration RulesRiemann SumsDefinite Integral DefinitionDouble Integrals: Definition and SetupIterated Integrals and Fubini's TheoremDouble Integrals over Rectangular RegionsDouble Integrals over General RegionsApplications of Double Integrals: Area, Mass, and MomentsTriple Integrals in Cartesian CoordinatesTriple Integrals in Cylindrical and Spherical CoordinatesChange of Variables and the Jacobian DeterminantApplications of Triple Integrals: Volume and MassVector Fields and Their RepresentationsLine Integrals of Vector FieldsWork and CirculationLine Integrals of Scalar and Vector FunctionsFundamental Theorem for Line IntegralsConservative Vector FieldsConservative Vector Fields and Potential FunctionsCurl and Divergence of Vector FieldsCurl and DivergenceDivergence TheoremElectric Flux and Divergence TheoremGauss's Law: Integral Form and MeaningSolving Problems with Gauss's LawConductors in Electrostatic EquilibriumCapacitance and CapacitorsDielectricsDielectric Constant and Relative PermittivityElectric Field Inside Dielectric MaterialsDielectric Materials and PolarizationDielectric Susceptibility and PermittivityEnergy Density in Electric FieldsElectric Current and Current DensityElectrical Resistance and ResistivityOhm's Law and Circuit ElementsElectromotive Force (EMF) and BatteriesKirchhoff's Circuit Laws: Voltage and CurrentDC Circuit Network Analysis MethodsTransient Response in RC CircuitsRC CircuitsLC and RLC CircuitsAC Circuits: FundamentalsImpedance and ReactanceAC Power and ResonanceElectromagnetic WavesPostulates of Special RelativityTime DilationLength ContractionLorentz TransformationRelativistic Velocity AdditionRelativistic Momentum and EnergyMass-Energy Equivalence and E=mc²Photons as Particles with Energy and MomentumPlanck-Einstein Relation: Energy and FrequencyPhotoelectric EffectThe Photon: Light as QuantaCompton ScatteringWave-Particle Dualityde Broglie WavelengthThe Schrödinger EquationState Vectors and WavefunctionsQuantum SuperpositionQuantum EntanglementBell Theorem and Bell InequalitiesPostulates of Quantum MechanicsObservables and Quantum OperatorsCommutators and Commutation RelationsQuantum Angular MomentumQuantum Mechanical Treatment of HydrogenSolving the Schrödinger Equation for Hydrogen AtomQuantum NumbersElectron ConfigurationPeriodic TrendsCovalent BondingElectronegativity and Bond PolarityIonic BondingLewis StructuresPolar Covalent Bonds and Dipole MomentsClassification of Bonds: Ionic, Covalent, and MetallicMetallic Bonding and Properties of MetalsCrystal Structures and Solid PropertiesCrystal Structure and Unit CellsCrystal Systems and Bravais LatticesMiller Indices: Crystallographic Planes and DirectionsPlastic Deformation and Slip SystemsDislocation Types and Motion

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