Thermoelastic behavior in metal films induced by ramp-type heating

In metal thin film, two effects become dominant. One is the non-Fourier effect in heat conduction, and the other is the coupling effect between the temperature and strain rate. In the present paper, an ultrafast thermoelasticity model utilizing the parabolic two-step heat conduction model and the generalized thermoelastic theory was formulated to describe the thermoelastic behavior of a thin metal film subjected to a ramp-type heating. An analytical-numerical technique based on the Laplace transform was used to solve the governing equations and the time histories of the electron temperature, lattice temperature, displacement and stress in a gold film were analyzed. The influence of the thickness of the film was also analyzed. In addition, the propagation of the stress wave through the film was analyzed.