Hutchinson–Rice–Rosengren singularity in fracture mechanics
E912868
The Hutchinson–Rice–Rosengren singularity in fracture mechanics is a fundamental asymptotic solution describing the near-tip stress and strain fields of a crack in elastic–plastic materials under small-scale yielding conditions.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| Hutchinson–Rice–Rosengren singularity | 0 |
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
HRR field
ⓘ
asymptotic solution in fracture mechanics ⓘ elastic–plastic crack-tip field ⓘ |
| appliesTo |
elastic–plastic materials
ⓘ
mode I crack loading ⓘ plane strain conditions ⓘ plane stress conditions ⓘ small-scale yielding conditions ⓘ |
| characterizes |
singular strain field at a crack tip
ⓘ
singular stress field at a crack tip ⓘ |
| dependsOn |
J-integral magnitude
ⓘ
strain hardening exponent ⓘ yield strength of the material ⓘ |
| describes |
near-tip strain fields of a crack
ⓘ
near-tip stress fields of a crack ⓘ |
| fieldBehavior |
singularity order depends on hardening exponent
ⓘ
stresses and strains scale with J and radial distance ⓘ |
| fieldType |
J-dominant field
ⓘ
asymptotic crack-tip field ⓘ |
| generalizes | linear elastic K-field to elastic–plastic behavior ⓘ |
| hasAssumption |
deformation theory or incremental theory of plasticity
ⓘ
dominant plastic zone is small compared with structural dimensions ⓘ material obeys power-law hardening ⓘ |
| hasComponent |
angular functions describing stress distribution
ⓘ
radial power-law dependence of stress and strain ⓘ |
| hasFeature | path-independent J-integral as loading parameter ⓘ |
| hasLimitation |
assumes monotonic loading or proportional loading
ⓘ
valid only within J-dominant region near crack tip ⓘ |
| hasMathematicalForm | power-law singularity in radial distance from crack tip ⓘ |
| influenced | development of elastic–plastic fracture mechanics standards ⓘ |
| namedAfter |
James R. Rice
NERFINISHED
ⓘ
John W. Hutchinson NERFINISHED ⓘ Lars Rosengren NERFINISHED ⓘ |
| relatedConcept |
HRR strain field
ⓘ
HRR stress field ⓘ J-integral fracture parameter ⓘ crack-tip opening displacement ⓘ |
| relatesTo |
J-controlled crack growth
ⓘ
ductile fracture ⓘ finite element modeling of crack-tip fields ⓘ nonlinear fracture mechanics ⓘ |
| usedFor |
benchmarking numerical solutions of crack-tip fields
ⓘ
calibration of fracture toughness tests in ductile materials ⓘ estimating crack-tip constraint in elastic–plastic materials ⓘ interpreting J–R resistance curves ⓘ |
| usedIn |
assessment of ductile tearing in pressure vessels
ⓘ
structural integrity analysis of pipelines ⓘ |
| usesParameter | J-integral NERFINISHED ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.