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Institute for Problems in Mechanical Engineering
of the Russian Academy of Sciences

Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences

Wave propagation due to laser irradiation in viscoelastic thin metal film with fractional relaxation operator

Autors:
Magdy M. Amin , Mohamed H. Hendy , Magdy A. Ezzat ,
Pages:
030-043
Annotation:

In the present paper, the model of generalized thermo-viscoelastic theory with fractional relaxation operators is used to capture the microscale responses of viscoelastic metal film irradiated uniformly by a laser pulse heat flux with non-Gaussian form. Employing Laplace transform as a tool, the problem has been solved analytically in the transformed domain. The inverse transforms are obtained by using a numerical method based on Fourier expansion techniques. The effects of fractional relaxation operators and viscoelastic property on the responses of the metal film are discussed and illustrated graphically.

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