Abstract
A finite element method is used to study the dual-phase-lag model on thermoelastic interactions in a semi-infinite medium subjected to a ramp-type heating. The governing equations are taken in a unified system from which the field equations for coupled thermoelasticity as well as for Lord and Shulman theory can be easily obtained as particular cases. Due attention has been paid to the finite time of rise of temperature, displacement and stress. The finite element method is proposed to analyze the problem and obtain the numerical solutions for the displacement, temperature and stress. Numerical results for the temperature distribution, displacement and thermal stress are represented graphically. A comparison is made with the results predicted by the three theories.