Memory-dependent derivative theory of ultrafast laser-induced behavior in magneto-thermo-viscoelastic metal films

In this work, the new concept of “memory-dependent derivative” in heat transfer process in a perfectly conducting viscoelastic metal films was used to investigate the action of a thin metal film, irradiated by a femtosecond laser pulse. The temporal profile of the ultrafast laser was regarded as being non-Gaussian. Laplace transform technique is utilized to solve the problem. Analytical results have been obtained for the fields of temperature, displacement and stress fields, as well as induced magnetic and electrical in a metal film. We have attempted to show the significance of a kernel function and a time delay parameter characteristic of memory-dependent derivative heat transfer in field variables actions with the aid of numerical tests. In the absence of memory-dependent derivative parameters, associations are made with the results obtained. The effects of the time delay on all distributions in a metal film for various forms of kernel functions are examined.