Abstract
In this paper, a semi-analytical solution for magneto-thermo-elastic problem in functionally graded (FG) hollow rotating disks with variable thickness placed in uniform magnetic and thermal fields is presented. Stresses and perturbation of magnetic field vector in FG rotating disks are determined using infinitesimal theory of magneto-thermo-elasticity under plane stress conditions. The material properties except Poisson’s ratio are modeled as power-law distribution of volume fraction. The profile of disk thickness is assumed to be a parabolic function of radius. The non-dimensional distribution of temperature, displacement, stresses and perturbation of magnetic field vector throughout radius are shown. Effects of material grading index, geometry of the disk and magnetic field on the stress and displacement fields are investigated. The results of stresses and radial displacements for two different boundary conditions with and without the effect of magnetic field are compared for a FG rotating disk with concave thickness profile. It has been found that imposing a magnetic field significantly decreases tensile circumferential stresses. Therefore the fatigue life of the disk will be significantly improved by applying the magnetic field. Results of this investigation could be applied for optimum design of FG hollow rotating disks with variable thickness.
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This paper was recommended for publication in revised form by Associate Editor Seong Beom Lee
Ali Ghorbanpour Arani received his B.Sc. degree from Sharif University of Technology in Tehran, Iran, in 1988. He then received his M.Sc. degree from Amirkabir University of Technology in Tehran, Iran, in 1991 and his Ph.D degree from the Esfahan University of Technology in Esfahan, Iran, in 2001. Dr. Ali Ghorbanpour Arani is currently a Professor at the Mechanical Engineering Department of University of Kashan in Kashan, Iran. His current research interests are stress analyses, stability and vibration of nanotubes, and FGMs.
Abbas Loghman received his B.Sc. degree from Sharif University of Technology, Tehran, Iran in 1980. He then received his MS degree from the Amirkabir University of Technology, Tehran, Iran in 1986 and his Ph.D degree from the University of Adelaide, South Australia in 1995. Dr. Loghman is an Associate Professor in the Mechanical Engineering Department of Kashan University, Kashan, Iran. His current research interests are creep and creep-fatigue life assessment of pressure vessels.
Ali Reza Shajari received his B.Sc. degree from the University of Kashan in Kashan, Iran, in 2008. He is currently a M.Sc. student at University of Kashan in Kashan, Iran. His research interests are stability and stress wave propagation in carbon nanotubes and functionally graded materials (FGMs).
Saeed Amir received his B.Sc. degree from the University of Kashan in Kashan, Iran, in 2007. He then received his M.Sc. degree from University of Kashan in Kashan, Iran, in 2009. He is currently a Ph.D student at University of Kashan in Kashan, Iran. His research interests are buckling and vibration analyses of carbon nanotubes and functionally graded materials (FGMs).
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Ghorbanpour Arani, A., Loghman, A., Shajari, A.R. et al. Semi-analytical solution of magneto-thermo-elastic stresses for functionally graded variable thickness rotating disks. J Mech Sci Technol 24, 2107–2118 (2010). https://doi.org/10.1007/s12206-010-0701-0
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DOI: https://doi.org/10.1007/s12206-010-0701-0