We study the torsion of a flexoelectric semiconductor rod with a rectangular cross section. The macroscopic theory of flexoelectric semiconductors is used. A one-dimensional model is established from the three-dimensional theory using double power series expansion of the coordinates within the cross section. The angle of twist of the rod and warping of the cross section are taken into consideration by retaining the proper lower-order terms in the expansion. Solutions of wave propagation in an unbounded rod and static torsion of a finite rod are presented, showing that electromechanical couplings exist when warping varies along the axis of the rod. The torsional wave is essentially nondispersive, but the warping wave is dispersive with a cutoff frequency. The mobile charges concentrate at the corners of the cross section. The electric potential and charge carrier distributions produced by mechanical loads are sensitive to the geometric and physical parameters of the system. The results are potentially useful for making flexotronic devices based on torsional modes.

我们研究了具有矩形横截面的柔性电半导体棒的扭转。使用了柔性电半导体的宏观理论。使用截面内坐标的双幂级数展开从三维理论建立一维模型。通过在扩展中保留适当的低阶项，可以考虑杆的扭曲角度和横截面翘曲。提出了无界杆中的波传播和有限杆的静态扭转的解决方案，表明当翘曲沿杆的轴线变化时，存在机电耦合。扭转波本质上是非分散的，但翘曲波具有截止频率的分散。移动电荷集中在横截面的拐角处。机械负载产生的电势和电荷载流子分布对系统的几何和物理参数敏感。该结果对于基于扭转模式的柔性电子设备的制造可能有用。