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On magneto-electro-thermo-elastic waves in initially stressed conductors. (English) Zbl 0707.73060

Summary: In this work we study the propagation of plane magneto-electro-thermo- elastic harmonic waves in an unbounded isotropic, conducting and initially stressed medium permeated by a primary uniform magnetic field. The formulation of the problem is given in the framework of the quasi- static electromagnetic state and the generalized theory of thermoelasticity proposed by H. W. Lord and Y. Shulman [J. Mech. Phys. Solids 15, 299-309 (1967; Zbl 0156.227)]. The characteristics of the wave motion, phase velocity, attenuation coefficient and specific energy loss are obtained in an analytical form and their dependence on the magnetoelastic and thermoelastic coupling, the initial stress state and the relaxation time is discussed.

MSC:

74F15 Electromagnetic effects in solid mechanics
78A40 Waves and radiation in optics and electromagnetic theory
74A15 Thermodynamics in solid mechanics

Citations:

Zbl 0156.227
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References:

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