Propagation of discontinuities in electromagneto generalized thermoelasticity in cylindrical regions. (English) Zbl 1293.74106
Summary: In this work we study wave propagation for a problem of an infinitely long solid conducting circular cylinder whose lateral surface is traction free and subjected to known surrounding temperatures in the presence of a uniform magnetic field in the direction of the axis. The problem is in the context of generalized magneto-thermo-elasticity theory with one relaxation time. Laplace transform techniques are used to derive the solution in the Laplace transform domain. The inversion process is carried out using a numerical method based on Fourier series expansions. Wave propagation in the elastic medium and in the free space, bounding it, is investigated.
MSC:
| 74F15 | Electromagnetic effects in solid mechanics |
| 74F05 | Thermal effects in solid mechanics |
| 78A40 | Waves and radiation in optics and electromagnetic theory |
Keywords:
cylindrical regions; electromagnetic theory; generalized thermoelasticity; wave propagationReferences:
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