Exact solution for certain regular thermoelasticity problems in a rectangular long rod by complex harmonics

Abstract A simple expansion method is used to solve certain regular, uncoupled plane problems of thermoelastostatics for long rods in a rectangle. These solutions are exact when the involved boundary conditions are in polynomial form. A particular case involving heat source in the bulk and surface distributions of temperature and pressures is considered for an exact solution. The results are plotted and discussed.