Reflection behavior of elastic waves in the functionally graded piezoelectric microstructures

Wave transmission and reflection analysis through complex media based on the second strain gradient theory

“…Meanwhile, although there is very seldom literature contributing to the wave scattering through the non-classical media, we can still find some interesting results to compare with, for example, the reflection and transmission coefficients through a couple-stress elastic slab changing with the incident wave angle and the dimensional thickness in [20], the reflection of elastic waves in the functionally graded piezoelectric microstructures based on modified CS theory [21]. Some of these results can be used to compared qualitatively, for example in Figure 6 [21] when the incident wave angle is 0 the results are in a similar form with the results in section 5.1, and the feature that reflection and transmission coefficients are affected by the dimensionless thickness can also be confirmed in later numerical results.…”

“…in which E 1 is Young's modulus of rod 1 and rod 3. Substitute x = 0 for interface S A and x = d for interface S B into the expression of displacement (21) and force ( 22), the state vectors on S A and S B are given as…”

“…Wang et al did some research on this issue [20], wave scattering through a couple-stress slab sandwiched between two elastic half-spaces was investigated based on the couple stress (CS) theory, the reflection and transmission behaviors are proven to be affected by the couple-stress. Upon this, Liu et al investigated the reflection of elastic waves through the functionally graded piezoelectric microstructures [21]. The employed generalized theories are both CS theory because CS theory is more convenient to use as its constitutive relations are clear with only one additional couple-stress governing the conservation of moment of momentum.…”

Analysis of wave scattering on piezoelectric surface with flexoelectric effect

“…Further, the reflection and refraction of elastic waves in piezo composite structures have also been studied by many authors 11–15 . Some of the recent works in this topic include previous literature 16–19 . Huang et al 20 attained the dispersion relations for wave transference in a piezoelectric multilayered structure.…”

“…[11][12][13][14][15] Some of the recent works in this topic include previous literature. [16][17][18][19] Huang et al 20 attained the dispersion relations for wave transference in a piezoelectric multilayered structure.…”