Application of fractional order theory to a functionally graded perfect conducting thermoelastic half space with variable Lamé’s Modulii

In this work, the model of fractional magneto-thermoelasticity is applied to a one-dimensional thermal shock problem for a functionally graded half-space whose surface is assumed to be traction free and subjected to an arbitrary thermal loading. The Lamé’s modulii is taken as functions of the vertic...

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Bibliographic Details
Published in:Microsystem technologies : sensors, actuators, systems integration actuators, systems integration, 2017-10, Vol.23 (10), p.4891-4902
Main Authors: Hendy, Mohamed H., Amin, Magdy M., Ezzat, Magdy A.
Format: Article
Language:English
Subjects:
Electronics and Microelectronics
Engineering
Instrumentation
Mechanical Engineering
Nanotechnology
Technical Paper
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Summary:In this work, the model of fractional magneto-thermoelasticity is applied to a one-dimensional thermal shock problem for a functionally graded half-space whose surface is assumed to be traction free and subjected to an arbitrary thermal loading. The Lamé’s modulii is taken as functions of the vertical distance from the surface of thermoelastic perfect conducting medium in the presence of a uniform magnetic field. Laplace transform and the perturbation techniques are used to derive the solution in the Laplace transform domain. Numerical inversion of the Laplace transform is carried out to obtain the temperature, displacement, stress and induced magnetic and electric field distributions. Numerical results are represented graphically and discussed.
ISSN:0946-7076
1432-1858
DOI:10.1007/s00542-017-3409-6