Research PaperNo Access

Incident waves at the surface of micropolar porous materials

R. Lianngenga

Department of Mathematics, Government Champhai College, Champhai 796321, Mizoram, India

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J. Lalvohbika

Department of Mathematics, Pachhunga University College, Aizawl 796005, Mizoram, India

E-mail Address: vohbikajongte@gmail.com

Corresponding author.

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, and

S. S. Singh

Department of Mathematics and Computer Science, Mizoram University, Tanhril 796004, Mizoram, India

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https://doi.org/10.1142/S2047684122500026Cited by:0 (Source: Crossref)

Abstract

The problems of elastic wave propagation in the micropolar porous materials have been attempted under the interaction of micro-rotation tensor and porous distribution in this material. We obtain the existence of three coupled longitudinal and two coupled shear waves propagating with different phase speeds. Numerically, the phase speed and attenuation of five basic waves are computed. We consider the incident plane waves at the boundary of micropolar porous materials, then the dispersive nature of the incident waves is studied and the existence of critical angle for the incident shear wave is found. The amplitude and energy ratios of various reflected waves for the incident coupled longitudinal and shear waves are obtained analytically and numerically. Further, the influence of different material parameters is studied using dispersion relation and the relevant numerical values.

Keywords:

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