论文标题
来自二阶对称性的压电性的对称类别
Symmetry classes in piezoelectricity from second-order symmetries
论文作者
论文摘要
压电定律是一个组成型模型，它描述了机械和电场如何耦合在材料中。在其线性公式中，该法律包含增加顺序的三个构成张量：二阶介电常数张量S，第三级订单Piezoelectricity Tensor P和四阶弹性张量C。在论文的第一部分中，单独调查了Piezoelectricity Tensor的对称类别。使用有关使用所谓剪辑操作的新方法，我们建立了ThisTensor的16个对称类别，并提供了相关的正常形式。然后使用二阶正交转换（平面对称性和$π$ - 角旋转）来表征和对压电张量的16个对称类别的11 out进行表征和分类。提出了区分其余类的另一个步骤
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 $π$-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
