Reflection and transmission of elastic waves through a couplestress elastic slab sandwiched between two halfspaces  
期刊名称  Acta Mechanica Sinica  作者  Changda Wang; Xuejun Chen; Peijun Wei; Yueqiu Li  栏目  SOLID MECHANICS  摘要  The reflection and transmission of elastic waves through a couplestress elastic slab that is sandwiched between two couplestress elastic halfspaces are studied in this paper. Because of the couplestress effects, there are three types of elastic waves in the couplestress elastic solid, two of which are dispersive. The interface conditions between two couplestress solids involve the surface couple and rotation apart from the surface traction and displacement. The nontraditional interface conditions between the slab and two solid halfspaces 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, couplestress elastic slab sandwiched by the classical elastic halfspaces, is also studied and compared with the situation that the classical elastic slab sandwiched by the classical elastic halfspaces. 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 results. It is found that the couplestress mainly influences the transverse modes of elastic waves.  英文栏目名称  SOLID MECHANICS  关键词  Reflection/transmission;Sandwiched slab;Couplestress;Energy flux;Multiple reflection/transmission  参考文献  1. Toupin, R.A.:Elastic materials with couplestresses. Arch. Ration. Mech. Anal. 11, 385414 (1962) 2. Koiter, W.T.:Couplestresses in the theory of elasticity:I and Ⅱ. Ned. Akad. 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Mater. 93, 168183 (2016)  年  2017  卷  33  期  6  开始页码  1022  结束页码  1039  DOI  10.1007/s1040901707125  基金项目  The work was supported by the Fundamental Research Funds for the Central Universities (Grant FRFBR15026A) and the National Natural Science Foundation of China (Grant 10972029).  点击率  1041  作者地址  1 Department of Applied Mechanics, University of Science and Technology Beijing, Beijing 100083, China; 2 Beijing Key Laboratory for MagnetoPhotoelectrical Composite and Interface Science, University of Science and Technology Beijing, Beijing 100083, China; 3 Department of Mathematics, Qiqihar University, Qiqihar 161006, China 
