Peierls–Nabarro model

E569213

The Peierls–Nabarro model is a theoretical framework in solid-state physics that describes the behavior and motion of dislocations in crystal lattices by accounting for the periodic atomic potential.

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Statements (40)

Predicate Object
instanceOf dislocation theory model
theoretical model
accountsFor periodic atomic potential in crystals
aimsTo estimate lattice resistance to dislocation motion
predict dislocation mobility
appliesTo crystalline solids
ionic crystals
metal crystals
assumes periodic misfit potential along the slip direction
planar slip interface
basedOn continuum elasticity theory
characterizes relationship between applied stress and dislocation glide
spread of dislocation core
combines continuum elasticity with atomic-scale lattice periodicity
connects atomic-scale lattice periodicity with continuum stress fields
describes behavior of dislocations in crystal lattices
motion of dislocations in crystal lattices
field crystal plasticity
materials science
solid-state physics
frameworkType continuum–atomistic hybrid description
hasVariant generalized Peierls–Nabarro model NERFINISHED
semidiscrete Peierls–Nabarro model
historicalPeriod 20th century solid-state theory
influenced modern multiscale modeling of dislocations
introducedBy Frank Nabarro NERFINISHED
Rudolf Peierls NERFINISHED
namedAfter Frank Nabarro NERFINISHED
Rudolf Peierls NERFINISHED
relatedTo Frenkel–Kontorova model NERFINISHED
Peierls stress NERFINISHED
dislocation core theory
relates disregistry across a slip plane to shear stress
studies Peierls stress NERFINISHED
core structure of dislocations
usedFor analyzing low-temperature plastic deformation
interpreting yield stress in crystals
studying partial dislocations and stacking faults
uses misfit energy function
periodic restoring force across the slip plane

Referenced by (1)

Full triples — surface form annotated when it differs from this entity's canonical label.

Peierls notableConcept Peierls–Nabarro model
subject surface form: Rudolf Peierls