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The problem of reflection and transmission due to longitudinal and transverse
waves incident obliquely at a plane interface between uniform elastic solid half-space and
micropolar thermoelastic solid half-space with fractional order derivative has been studied. It
is found that the amplitude ratios of various reflected and transmitted waves are functions of
angle of incidence, frequency of incident wave and are influenced by the fractional order and
micropolar thermoelastic properties of media. The expressions of amplitude ratios and energy
ratios have been computed numerically for a particular model. The variations of energy ratios
for different fractional orders with angle of incidence for Lord-Shulman [1] and Green-
Lindsay [2] theories of thermoelasticity are shown graphically for insulated boundary. The
conservation of energy at the interface is verified.
Keywords: fractional calculus; micropolar thermoelasticity; elastic waves; reflection; transmission; amplitude and energy ratios |
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