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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Hutchinson–Rice–Rosengren singularity in fracture mechanics canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T11227377 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Hutchinson–Rice–Rosengren singularity in fracture mechanics Context triple: [John W. Hutchinson, knownFor, Hutchinson–Rice–Rosengren singularity in fracture mechanics]
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A.
Drucker stability postulate in plasticity
The Drucker stability postulate in plasticity is a fundamental criterion in continuum mechanics that asserts stable inelastic material behavior requires non-negative plastic work during any admissible loading path, ensuring physically realistic and stable responses in plasticity models.
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B.
The Non-Linear Field Theories of Mechanics
The Non-Linear Field Theories of Mechanics is a foundational monograph by Clifford Truesdell that rigorously develops the mathematical theory of nonlinear continuum mechanics and its applications to elastic and fluid media.
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C.
Foundations of Solid Mechanics
Foundations of Solid Mechanics is a seminal textbook by biomechanical engineer Yuan-Cheng Fung that rigorously develops the theoretical principles governing the mechanical behavior of solid materials.
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D.
Mindlin plate theory
Mindlin plate theory is a refined mathematical model in structural mechanics that accounts for shear deformation and rotary inertia to more accurately describe the bending behavior of moderately thick plates.
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E.
Finite Elements of Nonlinear Continua
"Finite Elements of Nonlinear Continua" is a foundational textbook by J. Tinsley Oden that develops the theory and application of finite element methods for analyzing nonlinear solid and structural mechanics problems.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Hutchinson–Rice–Rosengren singularity in fracture mechanics Target entity description: 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.
-
A.
Drucker stability postulate in plasticity
The Drucker stability postulate in plasticity is a fundamental criterion in continuum mechanics that asserts stable inelastic material behavior requires non-negative plastic work during any admissible loading path, ensuring physically realistic and stable responses in plasticity models.
-
B.
The Non-Linear Field Theories of Mechanics
The Non-Linear Field Theories of Mechanics is a foundational monograph by Clifford Truesdell that rigorously develops the mathematical theory of nonlinear continuum mechanics and its applications to elastic and fluid media.
-
C.
Foundations of Solid Mechanics
Foundations of Solid Mechanics is a seminal textbook by biomechanical engineer Yuan-Cheng Fung that rigorously develops the theoretical principles governing the mechanical behavior of solid materials.
-
D.
Mindlin plate theory
Mindlin plate theory is a refined mathematical model in structural mechanics that accounts for shear deformation and rotary inertia to more accurately describe the bending behavior of moderately thick plates.
-
E.
Finite Elements of Nonlinear Continua
"Finite Elements of Nonlinear Continua" is a foundational textbook by J. Tinsley Oden that develops the theory and application of finite element methods for analyzing nonlinear solid and structural mechanics problems.
- F. None of above. chosen
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 ⓘ Lars Rosengren ⓘ |
| 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 ⓘ |
How these facts were elicited
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Instruction
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Input
Subject: Hutchinson–Rice–Rosengren singularity in fracture mechanics Description of subject: 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.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.