Generalized magneto-thermoelasticity in a conducting medium with variable material properties. (English) Zbl 1087.74029
Summary: We constructed the equations of magneto generalized-thermoelasticity with one relaxation time and electrical conductivity; the thermal conductivity and the modulus of elasticity are taken to be variable. A general one-dimensional problem of a conducting medium has been solved taking into account a constant magnetic field that acts normal to the bounding plane. Laplace and Fourier transforms are used. The resulting formulation is applied to a thermal shock half-space problem that has a constant displacement on the boundary. The inverse Fourier transforms are obtained analytically while the inverse Laplace transforms are obtained numerically. The temperature, displacement and stress distributions are represented graphically.
MSC:
| 74F15 | Electromagnetic effects in solid mechanics |
| 74F05 | Thermal effects in solid mechanics |
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
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