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Thermomagnetic viscoelastic responses in a functionally graded hollow structure

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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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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

    M. N. M. Allam & R. Tantawy

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  1. M. N. M. Allam
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  2. R. Tantawy
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Correspondence to M. N. M. Allam.

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Allam, M.N.M., Tantawy, R. Thermomagnetic viscoelastic responses in a functionally graded hollow structure. Acta Mech Sin 27, 567–577 (2011). https://doi.org/10.1007/s10409-011-0467-3

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  • DOI: https://doi.org/10.1007/s10409-011-0467-3

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