Reflection and refraction of longitudinal wave at an interface between two micropolar elastic solids in welded contact

Abstract

The problem of reflection and refraction of a longitudinal wave at an interface between two micropolar elastic solids is discussed. Amplitude ratios and energy ratios for various reflected and refracted waves have been obtained for a longitudinal wave impinging obliquely at a plane discontinuity of two linear micropolar elastic solids in welded contact. Numerical values of the amplitude ratios and energy ratios have been computed as a function of angle of emergence of the wave, for a specific model, and these have also been plotted graphically. Amplitude ratios as a function of frequency have also been computed and exhibited graphically. The results of Parfitt and Eringen [J. Acoust. Soc. Am. 45, 1258–1272 (1969)] have been derived as a special case. Some other special cases are discussed.