期刊
MATHEMATICS AND MECHANICS OF SOLIDS
卷 24, 期 1, 页码 235-257出版社
SAGE PUBLICATIONS LTD
DOI: 10.1177/1081286517736999
关键词
Couple stress; thermoelasticity; thermal wave; coupled wave; reflection and transmission
资金
- Fundamental Research Funds for the Central Universities [FRF-BR-15-026A]
- National Natural Science Foundation of China [10972029]
- Heilongjiang provincial education department basic business special project [135109232]
- Heilongjiang Natural Science Fund [B2015019]
The reflection and transmission of thermoelastic waves across an interface between two different couple stress solids are studied based on the thermoelastic Green-Naghdi theory with consideration of second sound. First, some thermodynamic equations of a couple stress elastic solid are formulated and the function of free energy density is postulated. Second, equations of thermal motion and heat conduction of the couple stress elasticity are derived and constitutive relations with thermoelastic coupled effects are obtained. From these equations, four kinds of dispersive waves, namely, thermal-mechanically coupled MT1 wave and MT2 wave, uncoupled SV wave, and an evanescent wave that becomes the surface waves at interface, are derived. Then, the interfacial conditions of couple stress elastic solids with consideration of force stress, couple stress, and thermal effects are used to determine the amplitude ratios of the reflection and transmission waves with respect to the incident wave. The numerical results are validated by consideration of energy conservation.
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