Reflection and transmission of elastic waves at five types of possible interfaces between two dipolar gradient elastic half-spaces
Reflection and transmission of elastic waves at five types of possible interfaces between two dipolar gradient elastic half-spaces
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DOI：
10.1007/s10409-016-0626-7
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发表时间：
2016-12
影响因子：
3.5
通讯作者：
Yueqiu Li;P. Wei
中科院分区：
文献类型：
--
作者：
Yueqiu Li;P. Wei
本文研究了入射平面波在偶极梯度弹性固体间五种可能的界面上的反射和透射。首先，从应变能密度的假设函数出发，导出了单极力和偶极力的显式表达式。然后，使用位移、位移的法向导数、单极牵引力和偶极牵引力来创建非传统界面条件。基于位移和位移法向导数的所有可能组合，存在五种可能的界面类型。考虑微结构效应的这些界面条件用于确定反射波和透射波相对于入射波的振幅比。此外，计算反射和透射波相对于入射波的能量比。给出了五种可能界面的反射和透射系数随能流比变化的数值计算结果。讨论了5种可能的界面对反射波和透射波能量分配的影响，并首次提出了能量传递双通道的概念，解释了5种界面对能量分配的不同影响。
Reflection and transmission of an incident plane wave at five types of possible interfaces between two dipolar gradient elastic solids are studied in this paper. First, the explicit expressions of monopolar tractions and dipolar tractions are derived from the postulated function of strain energy density. Then, the displacements, the normal derivative of displacements, monopolar tractions, and dipolar tractions are used to create the nontraditional interface conditions. There are five types of possible interfaces based on all possible combinations of the displacements and the normal derivative of displacements. These interfacial conditions with consideration of microstructure effects are used to determine the amplitude ratio of the reflection and transmission waves with respect to the incident wave. Further, the energy ratios of the reflection and transmission waves with respect to the incident wave are calculated. Some numerical results of the reflection and transmission coefficients are given in terms of energy flux ratio for five types of possible interfaces. The influences of the five types of possible interfaces on the energy partition between the refection waves and the transmission waves are discussed, and the concept of double channels of energy transfer is first proposed to explain the different influences of five types of interfaces.