Open AccessInvestigations on the thermal behavior and associated thermal stresses for short pulse laser heating
Author(s) -
Dong Xue,
J. B. Wang,
Guangying Xu
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/657/1/012054
Subject(s) - laplace transform , thermal conduction , thermal transmittance , thermal , materials science , thermal diffusivity , mechanics , thermodynamics , heat transfer , stress (linguistics) , thermal resistance , physics , composite material , mathematics , mathematical analysis , linguistics , philosophy
The fractional type Cattaneo heat conduction equation and the associated thermal stress equation are established for studying the thermal and related stress behavior of the short pulse laser heating. With the Laplace transform method, the analytical solution of the temperature distribution and thermal stress field are derived. Compared to the classical Fourier heat transfer model and the standard C-V one, the results of the present model show the thermal diffusion feature as well as the thermal wave behaviour, which is more realistic. Furthermore, the influences of the fractional order parameter on the thermal and related stress behavior are discussed. The thermal velocity, thermal variation rate and the peak value of the temperature and the thermal stress depend on the fractional order parameter. The fractional type Cattaneo heat model and associated thermal stress exhibit the non-local nature.