Abstract
Linear theory of micropolar elasticity has potential applications in exploration of materials made from bar-like molecules with micro-rotational effects. This theory is employed to investigate the Rayleigh surface waves in an incompressible micropolar solid half-space whose surface is subjected to the Tiersten’s impedance boundary conditions. An implicit secular equation is derived in non-dimensional material parameters, non-dimensional impedance parameters and non-dimensional frequency ratio. The speed of the Rayleigh wave is illustrated graphically against these non-dimensional parameters. The numerical results are compared with those for stress free boundary case. It is noticed that the presence of impedance boundary affects significantly the speed of Rayleigh wave. The Rayleigh wave speed also varies considerably due to the changes in micropolar material parameters and frequency ratio.
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