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.
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 NERFINISHED ⓘ |
| describes | bending behavior of moderately thick plates ⓘ |
| developedIn | mid 20th century ⓘ |
| dimension | two-dimensional plate model ⓘ |
| field |
continuum mechanics
NERFINISHED
ⓘ
engineering mechanics ⓘ solid mechanics ⓘ structural mechanics ⓘ |
| framework | classical continuum mechanics ⓘ |
| generalizes | Kirchhoff–Love plate theory NERFINISHED ⓘ |
| 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 NERFINISHED ⓘ |
| namedAfter | Raymond D. Mindlin NERFINISHED ⓘ |
| neglects | normal stress through the thickness ⓘ |
| reducesTo | Kirchhoff–Love plate theory for very thin plates NERFINISHED ⓘ |
| relatedTo | Timoshenko beam theory NERFINISHED ⓘ |
| 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 ⓘ |
Referenced by (1)
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