Stresses of a rotating circular disk of variable thickness carrying a current and bearing a coaxial viscoelastic coating

In the present work we consider a circular elastic disk (conductor) of variable thickness under the influence of a steady coaxial current and bearing a coaxial viscoelastic coating (insulator). In both conductor and insulator there exist a heat source generation. As a first step, the solution of pur...

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Bibliographic Details
Published in:Applied mathematical modelling 2008-09, Vol.32 (9), p.1643-1656
Main Authors: Allam, M.N.M., Badr, R.E., Tantawy, R.
Format: Article
Language:English
Subjects:
Conductors
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Isotrophic material
Magnetostatics
Physics
Rotating disks
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Viscoelasticity
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Summary:In the present work we consider a circular elastic disk (conductor) of variable thickness under the influence of a steady coaxial current and bearing a coaxial viscoelastic coating (insulator). In both conductor and insulator there exist a heat source generation. As a first step, the solution of purely elastic conductor and insulator is obtained. Then the problem of model with viscoelastic coating is solved using the correspondence principle and Ilyushin’s approximation method. A numerical example is given and the results are discussed in order to investigate the influences of time, temperature, and rotation on the stresses and displacements.
ISSN:0307-904X
DOI:10.1016/j.apm.2007.06.002