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 ⓘ
semidiscrete Peierls–Nabarro model ⓘ
historicalPeriod 20th century solid-state theory ⓘ
influenced modern multiscale modeling of dislocations ⓘ
introducedBy Frank Nabarro ⓘ
Rudolf Peierls ⓘ
namedAfter Frank Nabarro ⓘ
Rudolf Peierls ⓘ
relatedTo Frenkel–Kontorova model ⓘ
Peierls stress ⓘ
dislocation core theory ⓘ
relates disregistry across a slip plane to shear stress ⓘ
studies Peierls stress ⓘ
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 ⓘ

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Referenced by (2)

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

Rudolf Peierls → notableConcept → Peierls–Nabarro model ⓘ
subject linked to: Peierls
Peierls–Nabarro model → hasVariant → generalized Peierls–Nabarro model ⓘ
linked to: Peierls–Nabarro model