A coupled dynamic problem of thermomechanics is formulated for a conducting layer with plane-parallel boundaries subjected to a nonstationary electromagnetic action. As key functions of the problem, we use the tangential component of the vector of magnetic-field intensity, temperature, and the normal components of the tensor of dynamic stresses. We propose a procedure for the determination of these functions based on their cubic approximation in the thickness coordinate and the Laplace transformation with respect to time. On the basis of the obtained general solutions, we present the solutions of the problem for a sinusoidal electromagnetic action with pulsed modulating signal. The influence of the parameter of coupling of the strain and temperature fields on the stresses and temperature is analyzed.
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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 45, No. 4, pp. 60–66, July–August, 2009.
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Hachkevych, O.R., Musii, R.S. & Stasyuk, H.B. Coupled problem of thermomechanics for a conducting layer subjected to a uniform pulsed electromagnetic action. Mater Sci 45, 532–541 (2009). https://doi.org/10.1007/s11003-010-9211-6
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DOI: https://doi.org/10.1007/s11003-010-9211-6