“Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates”
E843487
“Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates” is a seminal paper by Raymond D. Mindlin that introduced a refined plate theory accounting for shear deformation and rotary inertia effects in elastic plate vibrations.
All labels observed (1)
| Label | Occurrences |
|---|---|
| “Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates” canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10152344 — 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: “Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates” Context triple: [Raymond D. Mindlin, notableWork, “Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates”]
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A.
Timoshenko beam theory
Timoshenko beam theory is a refined structural model that accounts for both shear deformation and rotational inertia in beams, providing more accurate predictions of their behavior than classical Euler–Bernoulli beam theory, especially for short or deep beams.
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B.
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.
-
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.
Piola–Kirchhoff stress tensors
Piola–Kirchhoff stress tensors are alternative measures of stress in continuum mechanics that describe forces with respect to a material’s reference configuration rather than its current deformed state.
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E.
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.
- 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: “Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates” Target entity description: “Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates” is a seminal paper by Raymond D. Mindlin that introduced a refined plate theory accounting for shear deformation and rotary inertia effects in elastic plate vibrations.
-
A.
Timoshenko beam theory
Timoshenko beam theory is a refined structural model that accounts for both shear deformation and rotational inertia in beams, providing more accurate predictions of their behavior than classical Euler–Bernoulli beam theory, especially for short or deep beams.
-
B.
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.
-
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.
Piola–Kirchhoff stress tensors
Piola–Kirchhoff stress tensors are alternative measures of stress in continuum mechanics that describe forces with respect to a material’s reference configuration rather than its current deformed state.
-
E.
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.
- F. None of above. chosen
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf | scientific paper ⓘ |
| addresses | discrepancies between classical plate theory and experimental vibration data for thick plates ⓘ |
| aimsTo | improve accuracy of vibration frequency predictions for thick plates ⓘ |
| appliesTo |
moderately thick plates
ⓘ
thick plates ⓘ |
| assumes | isotropic elastic material behavior ⓘ |
| author | Raymond D. Mindlin NERFINISHED ⓘ |
| citedFor |
formulation of Mindlin plate bending equations
ⓘ
inclusion of rotary inertia terms in plate vibration models ⓘ inclusion of transverse shear deformation in plate vibration models ⓘ |
| comparesWith | classical thin plate vibration results ⓘ |
| field |
applied mechanics
ⓘ
elasticity theory ⓘ structural mechanics ⓘ vibration analysis ⓘ |
| focusesOn |
effects of rotary inertia
ⓘ
effects of transverse shear deformation ⓘ flexural vibrations of isotropic elastic plates ⓘ |
| hasKeyIdea |
coupling between bending and shear deformation in plate vibrations
ⓘ
shear correction to account for non-uniform shear stress distribution through thickness ⓘ |
| improvesOn | classical Kirchhoff–Love plate theory ⓘ |
| includes |
rotational inertia of plate cross sections
ⓘ
transverse shear strain ⓘ |
| influenced |
development of modern plate and shell theories
ⓘ
finite element formulations for plate bending ⓘ |
| introducesConcept |
Mindlin plate theory
NERFINISHED
ⓘ
first-order shear deformation theory for plates ⓘ |
| isConsidered |
foundational reference for Mindlin–Reissner plate models
ⓘ
seminal work in plate vibration theory ⓘ |
| language | English ⓘ |
| mainContribution | introduction of a refined plate theory including shear deformation and rotary inertia ⓘ |
| mathematicalFormulation | partial differential equations of motion for plates with shear and rotary inertia ⓘ |
| neglects | transverse normal strain ⓘ |
| provides |
frequency equations for plate vibration modes
ⓘ
governing differential equations for plate flexural motion including shear and rotary inertia ⓘ |
| relevance |
high for high-frequency vibration analysis of plates
ⓘ
high for short-wavelength flexural modes ⓘ |
| typicalAssumption |
linear elastic behavior
ⓘ
small deflections ⓘ |
| usedIn |
analysis of dynamic response of plate structures
ⓘ
design of thick plate components in mechanical and civil 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: “Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates” Description of subject: “Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates” is a seminal paper by Raymond D. Mindlin that introduced a refined plate theory accounting for shear deformation and rotary inertia effects in elastic plate vibrations.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
Raymond D. Mindlin
→
notableWork
→
“Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates”
ⓘ