论文标题
在线性弹性和压电电性中平面和轴向对称性的测定
On the determination of plane and axial symmetries in linear Elasticity and Piezo-electricity
论文作者
论文摘要
我们为单位矢量n制定必要和足够的条件，以生成本构张量的平面或轴向对称性。对于弹性张量，这些条件由n组成部分的两个多项式方程组成。与Cowin-Mehrabadi条件相比，这是一个改进，因为这些方程仅涉及平面对称性的正常矢量n（并且没有垂直于n的载体）。对于线性压电电特性，获得类似的代数条件，并且完全对称张量为6。
We formulate necessary and sufficient conditions for a unit vector n to generate a plane or axial symmetry of a constitutive tensor. For the elasticity tensor, these conditions consist of two polynomial equations of degree lower than four in the components of n. Compared to Cowin-Mehrabadi conditions, this is an improvement, since these equations involve only the normal vector n to the plane symmetry (and no vector perpendicular to n). Similar reduced algebraic conditions are obtained for linear piezo-electricity and for totally symmetric tensors up to order 6.
