Snell's law of elastic waves propagation on moving property interface of time-varying materials
Snell's law of elastic waves propagation on moving property interface of time-varying materials
复制标题
时变材料运动特性界面上弹性波传播的斯涅耳定律
DOI：
10.1016/j.ijsolstr.2018.02.013
复制
发表时间：
2018-06
期刊：
影响因子：
--
通讯作者：
Xi Chen
中科院分区：
文献类型：
--
作者：
Langquan Shui;Yilun Liu;Xi Chen
本文研究了弹性波在时变材料运动特性界面（MPI）上的Snell定律。首先，提出了弹性波在MPI上传播的附加约束条件，以保证Snell定律的自洽性。其次，基于惠更斯原理，几何方法可以用来几何揭示MPI上的波的传播方向与明确的几何意义的附加约束。提出了两个判别MPI上是否存在反射波或透射波的判据。最后，基于这两个判据，用MPI的移动速度和MPI两侧的波传播速度来表示反射波或透射波存在的条件。然后，根据反射波和透射波的数量及其偏振类型，将弹性波在MPI上的传播分为SH波入射的6种情况、SV波入射的12种情况和P波入射的15种情况，这是由MPI的移动速度和MPI两侧的波传播速度决定的。而弹性波在静态界面上传播的传统情况，即SH波有2个发射波，SV波或P波有4个发射波，是弹性波在MPI上传播的特殊情况。值得注意的是，对于大多数传播的情况下，在这项工作中，传播系数是无法解决的MPI上的连续条件，即连续的位移，应力和动量的MPI。研究结果表明，弹性波在MPI上的传播可以有多个发射波的情况，这可能为进一步研究时变材料的弹性动力学提供有益的见解。
In this work, Snell's law of elastic waves on the moving property interface (MPI) of time-varying materials has been studied. First, additional constraints of the elastic wave propagation on MPI are proposed to ensure self-consistence of Snell's law. Second, based on Huygens principle, a geometric approach is developed which can be used to geometrically reveal the wave propagation directions on MPI with clear geometric meanings for the additional constraints. Two criteria are proposed to determine the existence of reflected or transmitted wave on MPI. Finally, based on the two criteria, the conditions for the existence of reflected or transmitted waves are expressed by moving velocity of MPI and wave propagation velocities on both sides of MPI. Then, according to the number of reflected and transmitted waves as well as their polarization types, the propagation of elastic wave on MPI can be classified into 6 cases for SH wave incidence, 12 cases for SV wave incidence, and 15 cases for P wave incidence determined by moving velocity of MPI and wave propagation velocities on both sides of MPI. While, the traditional case of elastic wave propagation on a static material interface, i.e. 2 emitted waves for SH wave and 4 emitted waves for SV or P waves are special cases of elastic wave propagation on MPI. It is noted that for most propagation cases presented in this work, the propagation coefficients are unable to be solved with only the continuous conditions on MPI, i.e. the continuity of displacement, stress and momentum on MPI. This work indicates the elastic wave propagation on MPI can have multiple cases of emitted wave which may provide useful insights for further studying elastodynamics of time-varying materials.
登录
查看更多内容
影响因子：
9.1
作者：
Langquan Shui;Z. Yue;Yong-shou Liu;Qingchang Liu;Jiaojiao Guo;Xin-Dang He
通讯作者：
Langquan Shui;Z. Yue;Yong-shou Liu;Qingchang Liu;Jiaojiao Guo;Xin-Dang He
影响因子：
1.3
作者：
K. Lurie;Suzanne L. Weekes
通讯作者：
K. Lurie;Suzanne L. Weekes
影响因子：
4.1
作者：
Suzanne L. Weekes
通讯作者：
Suzanne L. Weekes
影响因子：
29.4
作者：
R. Jakubiak;T. Bunning;R. Vaia;L. Natarajan;V. Tondiglia
通讯作者：
R. Jakubiak;T. Bunning;R. Vaia;L. Natarajan;V. Tondiglia
影响因子：
2.4
作者：
Suzanne L. Weekes
通讯作者：
Suzanne L. Weekes