Electromagneto-thermoelastic fundamental solutions in a two-dimensional problem for short time

Summary. The model of the two-dimensional equations of generalized magneto-thermoelasticity in a perfectly conducting medium is established. The analysis is carried out in the uncoupled framework under the classical Lord–Shulman 3] and Green–Lindsay 6] theories of thermoelasticity. Fundamental solutions of the corresponding differential equations are obtained using the inverse Laplace transform in an approximate manner for small values of time. The behavior of these solutions is discussed when we apply a continuous source of heat to an infinite elastic body. Numerical results in the presence of a magnetic field are presented graphically along with a comparison of the three theories. A discussion concerning which of the three theories is the most physically acceptable is given, with the Green–Lindsay formulation emerging as the clear choice.