Li Ying, Li Yueqiu, Guo Zihao, Wang Hong, Wang Changda
Department of Mathematics, Qiqihar University, Qiqihar, 161006, China.
Key Laboratory of Building Collapse Mechanism and Disaster Prevention, Institute of Disaster Prevention, China Earthquake Administration, Beijing, 101601, China.
Sci Rep. 2024 Oct 14;14(1):24035. doi: 10.1038/s41598-024-75049-1.
The propagation of Bloch waves in one dimensional phononic crystal consisting of dielectric elastic solids is studied with consideration of the strain gradient, inertial gradient and flexoelectric effects. The transfer matrixes for single layer and one-cell of phononic structure are derived based on the constitutive equations and the governing equations of dielectric elastic solids. The dispersion equation for Bloch waves is obtained by the application of periodic conditions for the generalized displacements and tractions considered within strain gradient theory of electro-elasticity. Based on the numerical solution of the derived dispersion equation, the influences of the micro-stiffness length scale, micro-inertial length scale and flexoelectric coefficients on the dispersion and the bandgap are discussed.
考虑应变梯度、惯性梯度和挠曲电效应，研究了由介电弹性固体组成的一维声子晶体中布洛赫波的传播。基于介电弹性固体的本构方程和控制方程，推导了声子结构单层和单胞的传递矩阵。通过对电弹性应变梯度理论中广义位移和牵引力应用周期性条件，得到了布洛赫波的色散方程。基于所推导色散方程的数值解，讨论了微刚度长度尺度、微惯性长度尺度和挠曲电系数对色散和带隙的影响。
