Effect of magneto-thermo-viscoelasticity in an unbounded body with a spherical cavity subjected to a harmonically varying temperature without energy dissipation |
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Authors: | S M Abo-Dahab |
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Institution: | 1.Math. Dept., Faculty of Science,SVU,Qena,Egypt;2.Math. Dept., Faculty of Science,Taif University,Taif,Saudi Arabia |
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Abstract: | The present work is devoted to study effects of the thermally induced vibration, magnetic field and viscoelasticity in an
isotropic homogeneous unbounded body with a spherical cavity. The GN model of thermoelasticity without energy dissipation is applied. The closed form solutions for distributions of displacement,
temperature and radial and hoop stresses are illustrated. The boundary conditions for the temperature and mechanical and Maxwell’s
stresses are employed. The solutions valid in the case of small frequency are deduced and the results are compared with the
corresponding results obtained in other generalized thermoelasticity theories. The results obtained are calculated for a copper
material and presented graphically. It’s deduced that the magnetic field, viscosity and thermally induced vibration are very
pronounced on displacement, temperature and stresses. |
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Keywords: | |
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