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The elasticity tensor is a fourth-rank tensor describing the stress-strain relation in a linear elastic material. Other names are elastic modulus tensor and stiffness tensor. Common symbols include C {\displaystyle \mathbf {C} } and Y {\displaystyle \mathbf {Y} } .
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displaystyle tensor mathbf components elasticity linear ijkl elastic independent irreducible tensors indices two transformations strain symmetries invariants symmetric respect mathbb
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Elasticity tensor | is a | fourth-rank tensor describing the stress-strain relation in a linear elastic material | 0.90 | text |
| rotations.Irreducible representationsAn irreducible representation can be built by considering the notion of a totally symmetric tensor | instance of | so it is not invariant under linear transformations | 0.80 | text |
| which is invariant under the interchange of any two indices | instance of | so it is not invariant under linear transformations | 0.80 | text |
| rotations | instance of | so it is not invariant under linear transformations | 0.80 | text |
| Elasticity tensor | related to Cubic crystals | The | 0.60 | section |
| Elasticity tensor | related to Cubic crystals | Thus | 0.60 | section |
| Elasticity tensor | related to Definition | The | 0.60 | section |
| Elasticity tensor | related to Symmetries | The | 0.60 | section |
| Elasticity tensor | related to Symmetries | Usually | 0.60 | section |
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