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Rayleigh waves in magneto-thermo-viscoelastic solid with thermal relaxation times. (English) Zbl 1254.74067

Summary: The propagation of magneto-thermo-viscoelastic Rayleigh waves in a semi-infinite body permeated by a uniform magnetic field is investigated. It is assumed that the elastic medium under consideration is homogeneous, isotropic, electrically and thermally conducting one. The roots of the phase velocity equation (for different values of Poisson’s ratio), the displacements and the stresses at various points of the depth of the medium are found out numerically and presented graphically for an appropriate material. The material of the medium is taken to be Kelvin-Voigt solid and the generalized theory of thermo-elasticity proposed by Green-Lindsay are applied. The effects of the viscosity, the thermal relaxation times and the magnetic field are illustrated and displayed graphically. Relevant results of previous investigations are deduced as special cases.

MSC:

74J99 Waves in solid mechanics
74F05 Thermal effects in solid mechanics
74F15 Electromagnetic effects in solid mechanics
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References:

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