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

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 elasticwaves in the couple-stress elastic solid, two of whic...

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Bibliographic Details
Published in:Acta mechanica Sinica 2017-12, Vol.33 (6), p.1022-1039
Main Authors: Wang, Changda, Chen, Xuejun, Wei, Peijun, Li, Yueqiu
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Computational Intelligence
Elastic waves
Energy conservation
Energy transmission
Engineering
Engineering Fluid Dynamics
flux
Fluxes
Half spaces
Linear algebra
Multiple
reflection/transmission
Reflection/transmission
Sandwiched
Research Paper
slab
Couple-stress
Energy
Stresses
Theoretical and Applied Mechanics
Transverse waves
Wave dispersion
Wave reflection
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Summary: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 elasticwaves 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 results. It is found that the couple-stress mainly influences the transverse modes of elastic waves.
ISSN:0567-7718
1614-3116
DOI:10.1007/s10409-017-0712-5