Thermomagnetic viscoelastic responses in a functionally graded hollow structure |
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Authors: | M N M Allam R Tantawy |
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Institution: | (1) Mechanical Engineering Department, Amirkabir University of Technology, 1591634311 Tehran, Iran;(2) Mechanical Engineering Department and Concrete Technology and Durability Research Centre, Amirkabir University of Technology, Hafez Ave., 1591634311 Tehran, Iran |
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Abstract: | This paper presents an analytical solution for the interaction of electric potentials, electric displacements, elastic deformations,
and thermoelasticity, and describes electromagnetoelastic responses and perturbation of the magnetic field vector in hollow
structures (cylinder or sphere), subjected to mechanical load and electric potential. The material properties, thermal expansion
coefficient and magnetic permeability of the structure are assumed to be graded in the radial direction by a power law distribution.
In the present model we consider the solution for the case of a hollow structure made of viscoelastic isotropic material,
reinforced by elastic isotropic fibers, this material is considered as structurally anisotropic material. The exact solutions
for stresses and perturbations of the magnetic field vector in FGM hollow structures are determined using the infinitesimal
theory of magnetothermoelasticity, and then the hollow structure model with viscoelastic material is solved using the correspondence
principle and Illyushin’s approximation method. Finally, numerical results are carried out and discussed. |
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Keywords: | Functionally graded material Viscoelasticity Perturbation of magnetic field vector Magnetoelasticity |
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