Abstract
The principle motivation behind this paper is to introduce boundary element modeling of three-temperature (3 T) nonlinear transient magneto-thermoviscoelastic wave propagation problems in anisotropic circular cylindrical shells under the effects of electron, ion, phonon, and total temperatures. The governing equations have solved using the boundary element method (BEM) to obtain the three-temperature, displacements and magnetothermoviscoelastic stresses. The mathematical outcomes demonstrate that the impacts of three-temperature on the magneto-thermoviscoelastic stresses are extremely articulated. Additionally, these mathematical outcomes show the legitimacy and precision of the present mathematical strategy.