Symmetry classes in piezoelectricity from second-order symmetries
| Autor: | Olive, Marc, Auffray, Nicolas |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Math. Mech. Compl. Sys. 9 (2021) 77-105 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.2140/memocs.2021.9.77 |
| Popis: | The piezoelectricity law is a constitutive model that describes how mechanical andelectric fields are coupled within a material. In its linear formulation this law comprises threeconstitutive tensors of increasing order: the second order permittivity tensor S, the third orderpiezoelectricity tensor P and the fourth-order elasticity tensor C. In a first part of the paper,the symmetry classes of the piezoelectricity tensor alone are investigated. Using a new approachbased on the use of the so-called clips operations, we establish the 16 symmetry classes of thistensor and provide their associated normal forms. Second order orthogonal transformations(plane symmetries and $\pi$-angle rotations) are then used to characterize and classify directly 11out of the 16 symmetry classes of the piezoelectricity tensor. An additional step to distinguishthe remaining classes is proposed Comment: Mathematics and Mechanics of Complex Systems, mdp, In press |
| Databáze: | arXiv |
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