This research work aims to study the response of a two-dimensional thick annular disc that is irradiated with a sinusoidally varying non-stationary magnetic field intensity (SNMF). The non-stationary magnetic field intensity is considered to be changing over time. SNMF highlights two consequences on the disc: first, the disc experiences conducting currents, which eventually result in the generation of Joule heat (JH). Secondly, some energy is lost in the form of heat as a result of impulsive/cyclic magnetization and automatic demagnetization, also known as hysteresis loss (HL). The sum of the aforementioned heat losses is considered the heat source for the two-dimensional quasistatic problem under consideration. The analytical solutions of governing equations of plane electromagnetism, thermal, and elastic fields with suitable boundary conditions are obtained using the integral transform technique. Notably, we have employed the finite Hankel transform (FHT), along with the finite Fourier sine transform (FFST) and the Laplace transform (LT). An appropriate numerical code is developed using the MATLAB® environment to demonstrate and elucidate the various graphical interpretations and peculiarities.
Balpande et al. (Thu,) studied this question.