Wave Propagation in an Unbounded Magneto-Thermoelastic Rotating Medium Permeated by a Heat Source

Abstract

Abstract Matrix method of solution is applied to determine generalized thermoelastic wave propagation in an unbounded medium due to periodically varying heat source under the influence of magnetic field. Green–Lindsay (GL) model of generalized thermoelasticity for finite wave propagation is considered along with a magnetic field for a rotating medium with uniform velocity. Basic equations are solved by eigenvalue approach method after compiling in a form of vector–matrix linear differential equation in Laplace transform domain. Finally inverting the perturbed magnetic field and other field variables by a suitable numerical method, the results are analyzed by depicting several graphs in space–time domain.