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This paper deals with the propagation of Rayleigh waves in a micropolar
thermoelastic half space with impedance boundary conditions. The boundary of the half space
is thermally insulated / isothermal and it is assumed that normal traction, shear traction and
shear couple traction at the surface, varies linearly with normal, tangential components of
displacement and microrotation respectively. The secular equation for Rayleigh wave with
impedance boundary conditions is obtained and this equation is in agreement with the classical
secular equation for elastic solid with traction free boundary conditions when micropolar,
thermal and impedance parameters are removed. The non-dimensional speed of Rayleigh wave
is computed as a function of impedance parameters and presented graphically for a particular
micropolar thermoelastic material.
Keywords: micropolar thermoelasticity; Rayleigh waves; impedance boundary conditions; secular equation. |
full paper (pdf, 880 Kb)