Reflection and transmission of elastic waves through a couple-stress elastic slab sandwiched between two half-spaces

作     者：Changda Wang Xuejun Chen Peijun Wei Yueqiu Li 

作者机构：Department of Applied Mechanics University of Science and Technology Beijing Beijing 100083 China Beijing Key Laboratory for Magneto-Photoelectrical Composite and Interface Science University of Science and Technology Beijing Beijing 100083 China Department of Mathematics Qiqihar University Qiqihar 161006 China 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2017年第33卷第6期

页      面：1022-1039页

核心收录：

学科分类：08[工学] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 080102[工学-固体力学] 

基　　金：supported by the Fundamental Research Funds for the Central Universities (Grant FRF-BR-15026A) the National Natural Science Foundation of China (Grant 10972029) 

主　　题：Reflection/transmission Sandwiched slab Couple-stress Energy flux Multiple reflection/transmission 

摘      要：The reflection and transmission of elastic waves through a couple-stress elastic slab that is sandwiched between two couple-stress elastic half-spaces are studied in this paper. Because of the couple-stress effects, there are three types of elastic waves in the couple-stress elastic solid, two of which are dispersive. The interface conditions between two couple-stress solids involve the surface couple and rotation apart from the surface traction and displacement. The nontraditional interface conditions between the slab and two solid half-spaces are used to obtain the linear algebraic equation sets from which the amplitude ratios of reflection and transmission waves to the incident wave can be determined. Then,the energy fluxes carried by the various reflection and transmission waves are calculated numerically and the normal energy flux conservation is used to validate the numerical results. The special case, couple-stress elastic slab sandwiched by the classical elastic half-spaces, is also studied and compared with the situation that the classical elastic slab sandwiched by the classical elastic half-spaces. Incident longitudinal wave(P wave) and incident transverse wave(SV wave) are both considered. The influences of the couplestress are mainly discussed based on the numerical *** is found that the couple-stress mainly influences the transverse modes of elastic waves.