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

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Acta Mechanica Sinica 2017年第6期33卷 1022-1039页

作者： Changda Wang Xuejun Chen Peijun Wei Yueqiu Li 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

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.

关键词： Reflection/transmission sandwiched slab Couple-stress Energy flux Multiple reflection/transmission

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