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.
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.
subject surface form:
Rudolf Peierls