Drucker stability postulate in plasticity
E554926
material stability criterion
principle in continuum mechanics
principle in plasticity theory
stability postulate
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.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Drucker stability postulate in plasticity canonical | 1 |
| material stability postulate | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T5927943 — 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: Drucker stability postulate in plasticity Context triple: [Daniel C. Drucker, notableIdea, Drucker stability postulate in plasticity]
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A.
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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B.
Computational Methods in Nonlinear Mechanics
Computational Methods in Nonlinear Mechanics is a foundational scholarly work that develops numerical and theoretical techniques for analyzing complex nonlinear mechanical systems, particularly within the framework of computational mechanics and finite element methods.
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C.
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.
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D.
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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E.
A Treatise on the Mathematical Theory of Elasticity
A Treatise on the Mathematical Theory of Elasticity is a foundational textbook in continuum mechanics that rigorously develops the mathematical framework for describing elastic deformation in solid materials.
- 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: Drucker stability postulate in plasticity Target entity description: 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.
-
A.
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.
-
B.
Computational Methods in Nonlinear Mechanics
Computational Methods in Nonlinear Mechanics is a foundational scholarly work that develops numerical and theoretical techniques for analyzing complex nonlinear mechanical systems, particularly within the framework of computational mechanics and finite element methods.
-
C.
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.
-
D.
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.
-
E.
A Treatise on the Mathematical Theory of Elasticity
A Treatise on the Mathematical Theory of Elasticity is a foundational textbook in continuum mechanics that rigorously develops the mathematical framework for describing elastic deformation in solid materials.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
material stability criterion
ⓘ
principle in continuum mechanics ⓘ principle in plasticity theory ⓘ stability postulate ⓘ |
| aimsToPrevent | unphysical energy generation in plastic processes ⓘ |
| appliesTo |
continuum mechanics
ⓘ
inelastic material behavior ⓘ plasticity models ⓘ rate-independent plasticity ⓘ |
| assumes |
admissible loading paths
ⓘ
quasi-static loading conditions ⓘ |
| category |
continuum thermodynamics
ⓘ
plasticity theory ⓘ |
| constrains |
evolution of internal variables in plasticity models
ⓘ
shape of the yield surface ⓘ |
| contradictedBy |
materials exhibiting strain softening
ⓘ
unstable localization phenomena such as shear bands ⓘ |
| ensures |
absence of material instability under admissible loading
ⓘ
dissipative material behavior ⓘ physically realistic material behavior ⓘ stable inelastic material response ⓘ |
| expressedAs |
incremental plastic work is greater than or equal to zero
ⓘ
stress increment times plastic strain increment is non-negative ⓘ |
| historicallyProposedBy | Daniel C. Drucker ⓘ |
| holdsFor | incremental stress–strain processes ⓘ |
| implies |
no negative plastic dissipation
ⓘ
non-negative dissipation ⓘ |
| influences |
design of numerical algorithms for plasticity
ⓘ
finite element formulations for inelastic analysis ⓘ |
| namedAfter | Daniel C. Drucker ⓘ |
| relatedTo |
convexity of the yield surface
ⓘ
incremental work inequality ⓘ maximum plastic dissipation principle ⓘ normality rule in plasticity ⓘ second law of thermodynamics ⓘ thermodynamic consistency of constitutive laws ⓘ |
| requires |
non-negative incremental plastic work
ⓘ
non-negative plastic work ⓘ |
| states | plastic work must be non-negative for any admissible loading path ⓘ |
| timePeriod | mid 20th century ⓘ |
| usedFor |
assessment of material stability under cyclic loading
ⓘ
formulation of stable plasticity models ⓘ selection of admissible yield criteria ⓘ validation of constitutive models in plasticity ⓘ |
| usedIn |
geomechanics
ⓘ
metal plasticity modeling ⓘ soil and rock plasticity theories ⓘ structural engineering ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Drucker stability postulate in plasticity Description of subject: 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.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Drucker stability postulate in plasticity