Mindlin plate theory
E843486
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.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Mindlin plate theory canonical | 4 |
| Kirchhoff–Love assumption of normals remaining normal after deformation | 1 |
| Mindlin–Reissner plate theory | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10152317 — 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: Mindlin plate theory Context triple: [Raymond D. Mindlin, knownFor, Mindlin plate theory]
-
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.
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.
-
C.
Mooney-Rivlin theory
Mooney-Rivlin theory is a constitutive model in continuum mechanics that describes the nonlinear elastic behavior of rubber-like materials using a specific strain energy function.
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D.
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.
-
E.
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.
- 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: Mindlin plate theory Target entity description: 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.
-
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.
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.
-
C.
Mooney-Rivlin theory
Mooney-Rivlin theory is a constitutive model in continuum mechanics that describes the nonlinear elastic behavior of rubber-like materials using a specific strain energy function.
-
D.
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.
-
E.
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.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
continuum mechanics theory
ⓘ
mathematical model ⓘ plate theory ⓘ structural mechanics model ⓘ |
| accountsFor |
rotary inertia
ⓘ
transverse shear deformation ⓘ |
| appliesTo |
isotropic plates
ⓘ
laminated composite plates ⓘ moderately thick plates ⓘ orthotropic plates ⓘ |
| assumes |
linear elastic material behavior
ⓘ
moderate rotations ⓘ small strains ⓘ straight normals before deformation remain straight but not necessarily normal after deformation ⓘ |
| contrastsWith |
Kirchhoff–Love assumption of normals remaining normal after deformation
ⓘ
linked to:
Mindlin plate theory
|
| describes | bending behavior of moderately thick plates ⓘ |
| developedIn | mid 20th century ⓘ |
| dimension | two-dimensional plate model ⓘ |
| field |
continuum mechanics
ⓘ
engineering mechanics ⓘ solid mechanics ⓘ structural mechanics ⓘ |
| framework | classical continuum mechanics ⓘ |
| generalizes | Kirchhoff–Love plate theory ⓘ |
| governingEquationsType | partial differential equations ⓘ |
| improves |
prediction of deflections in thick plates
ⓘ
prediction of natural frequencies in thick plates ⓘ prediction of shear stresses in plates ⓘ |
| includes |
rotational kinetic energy
ⓘ
transverse shear strain energy ⓘ |
| introduces | shear correction factor ⓘ |
| isAlsoKnownAs | first-order shear deformation plate theory ⓘ |
| moreAccurateThan |
Kirchhoff–Love plate theory for thick plates
ⓘ
linked to:
Kirchhoff–Love plate theory
|
| namedAfter | Raymond D. Mindlin ⓘ |
| neglects | normal stress through the thickness ⓘ |
| reducesTo |
Kirchhoff–Love plate theory for very thin plates
ⓘ
linked to:
Kirchhoff–Love plate theory
|
| relatedTo | Timoshenko beam theory ⓘ |
| usedFor | design of mechanical and civil engineering plate structures ⓘ |
| usedIn |
aerospace engineering
ⓘ
civil engineering ⓘ finite element analysis of plates ⓘ mechanical engineering ⓘ naval architecture ⓘ stability analysis of plates ⓘ static bending analysis of plates ⓘ vibration analysis of plates ⓘ |
| uses | first-order shear deformation theory ⓘ |
| validWhen | plate thickness is not negligible compared to in-plane dimensions ⓘ |
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: Mindlin plate theory Description of subject: 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.
Referenced by (6)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject linked to:
Mindlin
linked to: Mindlin plate theory
Mindlin plate theory
→
contrastsWith
→
Kirchhoff–Love assumption of normals remaining normal after deformation
ⓘ
linked to: Mindlin plate theory
Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates
→
introducesConcept
→
Mindlin plate theory
ⓘ