Abstract

Mathematical analysis is performed to examine the reflection and transmission phenomena of plane waves at the corrugated interface of crystalline structure separating two distinct monoclinic thermoelastic media. Analysis of this phenomena is achieved adopting classical dynamic coupled, Lord–Shulman, and Green–Lindsay theories. Using Rayleigh’s methods, the expressions of reflection and transmission coefficients of reflected and transmitted waves are deduced for the case of corrugated as well as plane interfaces. The influence of corrugation and frequency parameters on reflection and transmission coefficients for all three theories has been extensively analyzed with a comparative approach. Findings of the study are demonstrated through numerical and graphical results. Furthermore, the obtained result is validated with the preexisting result.

摘要

进行数学分析以检查平面波在分离两种不同的单斜热弹性介质的晶体结构的波纹状界面处的反射和透射现象。使用经典动力耦合，Lord-Shulman和Green-Lindsay理论对这种现象进行分析。使用瑞利的方法，推导了波纹和平面界面情况下反射波和透射波的反射系数和透射系数的表达式。波纹和频率参数对这三种理论的反射和透射系数的影响已通过比较方法进行了广泛分析。通过数字和图形结果证明了该研究的结果。此外，将获得的结果与先前存在的结果进行验证。