Reflection and Refraction of Coupled Transverse and Micro-Rotational Wave at Interface between Two Micropolar Elastic Solid

Abstract:

Using the model of micropolar generalized magneto-thermo-elasticity, the coupled transverse and micro-rotational wave at an interface between two micropolar solid mediums is discussed in the presence of a constant magnetic field. The model can be applied to the coupled theory as well as to five generalizations: the Lord-Shulman theory with one relaxation time, the Green-Lindsay theory with two relaxation times, the Green-Naghdi theories of type II(without energy dissipation) and of type III, and the theory with dual-phase-lag. Using continuous conditions at the interface, the amplitude ratios of reflected and refracted longitudinal displacement waves, longitudinal micro-rotational waves and the coupled transverse and micro-rotational waves are studied for incident coupled transverse and micro-rotational wave. The effect of thermal relaxation is discussed for C-D theory, G-L theory and L-S theory. The numerical results show that the effects of thermal relaxation times are very significant on the amplitude ratios.

• Periodical: Advanced Materials Research (Volume 670)
• Pages: 193-201
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.670.193
• Online since: March 2013
• Authors: Hong Yu Xu, B.B. Xue, F.K. Cui, X.Q. Wang
• Keywords: Amplitude Ratio, Coupled Transverse and Micro-Rotational Wave, Generalized Micropolar Magneto-Thermoelasticity, Reflection, Refraction, Thermal Relaxation Time

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