Thermoelastic analysis of a Moore–Gibson–Thompson plate with internal heat source loaded with viscous fluid layers

Abstract In the present problem, the response of an infinite thermoelastic plate with an internal heat source under Moore–Gibson–Thompson (MGT) theory loaded with viscous fluid layers is discussed. The thickness of the plate is assumed to be 2 d . The analytical expressions of displacement, stresses, and temperature field are obtained by the normal mode analysis technique. The numerical values of the expressions are evaluated using MATLAB. The graphical results are presented to show the effect of different theories of thermoelasticity, namely Biot Classical model, LS model, GN Type III model, and MGT model. The problem is new in the context of the presence of an internal heat source in the MGT theory of thermoelasticity loaded with viscous fluid layers. The problem finds its applications in Earthquake engineering, hydrology, petrochemical industries, etc.