期刊
PHYSICAL MESOMECHANICS
卷 21, 期 2, 页码 150-156出版社
SPRINGER
DOI: 10.1134/S102995991802008X
关键词
eigenvalue approach; Green and Naghdi of type III model; fractional order generalized thermoelasticity
In this study, the effect of fractional order derivative on a two-dimensional problem due to thermal shock with weak, normal and strong conductivity is established. The governing equations are taken in the context of Green and Naghdi of type III model (GNIII model) under fractional order derivative. Based on the Laplace and exponential Fourier transformations with eigenvalues approach, the analytical solutions has been obtained. For weak, normal and strong conductivity, the numerical computations for copper-like medium have been done and the results are shown numerically. The graphical results indicate that the effect of fractional order parameter has a major role on all physical quantities involved in the problem.
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