Abstract

Taking into consideration the effects of micro-inertia, flexoelectricity, and non-uniform strain, the field equations of isotropic dielectrics with centrosymmetric microstructures are specialized for a plane. Plane-wave solutions of these two-dimensional (2D) governing equations suggest the possibility of two plane waves propagating in a flexoelectric medium. Reflection phenomenon of the plane harmonic waves from the stress-free boundary of a dielectric half space is explored. The expressions for the coefficients of reflection and energy shares of reflected waves are obtained for the cases of both incident plane waves. The relevant physical constants of strontium titanate are chosen for numerical computations of the speeds, coefficients of reflection and energy shares of reflected waves. These wave characteristics are illustrated graphically to show the influences of incident angle, wavenumber, length parameter, and flexocoupling coefficient.

摘要

考虑到微惯性，挠性电和非均匀应变的影响，具有中心对称微结构的各向同性电介质的场方程专门用于平面。这些二维（2D）控制方程的平面波解表明，在柔电介质中传播两个平面波的可能性。探索了平面谐波从电介质半空间的无应力边界的反射现象。对于两种入射平面波，均获得了反射波的反射系数和能量份额的表达式。选择钛酸锶的相关物理常数，以进行速度，反射系数和反射波能量份额的数值计算。