Skip to main content
SpringerLink
Log in

Semi-analytical solution of magneto-thermo-elastic stresses for functionally graded variable thickness rotating disks

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. S. Suresh and A. Mortensen A., Fundamentals of functionally graded materials London, K: IOM Communications Limited (1998).

  2. M. P. Lutz and R. W. Zimmerman, Thermal stresses and effective thermal expansion coefficient of a functionally graded sphere, J. Therm. Stress, 19 (1996) 39–54.

    Article  MathSciNet  Google Scholar 

  3. R. W. Zimmerman and M. P. Lutz, Thermal stresses and effective thermal expansion in a uniformly heated functionally graded cylinder, J. Therm. Stress, 22 (1999) 177–188.

    Article  Google Scholar 

  4. SAH. Kordkheili, R. Naghdabadi, Thermoelastic analysis of a functionally graded rotating disk, Compos Struct., 79 (2007) 508–516.

    Article  Google Scholar 

  5. Y. Obata and N. Noda, Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a functionally gradient material, Thermal Stresses, 17 (1994) 471–488.

    Article  Google Scholar 

  6. H. L. Dai and Y. M. Fu, Magnetothermoelastic interaction in hollow structures of functionally graded material subjected to mechanical loads, Int. J. Press. Vessel. Pip. 84 (2007) 132–138.

    Article  Google Scholar 

  7. H. L. Dai, Y. M. Fu and Z. M. Dong, Exact solution for functionally graded pressure vessels in a uniform magnetic field, Int. J. Solids Struct., 43 (2006) 5570–5580.

    Article  MATH  Google Scholar 

  8. A. Ghorbanpour, M. Salari, H. Khademizadeh and A. Arefmanesh, Magnetothermo-elastic transient response of a functionally graded thick hollow sphere subjected to magnetic and thermoelastic fields, J. Arch. Appl. Mech., 79 (2008) 481–497.

    Article  Google Scholar 

  9. A. Ghorbanpour, M. Salari, H. Khademizadeh and A. Arefmanesh, Magnetothermo-elastic stress and perturbation of magnetic field vector in a functionally graded hollow sphere, J. Arch. Appl. Mech., 80 (2010) 189–200.

    Article  MATH  Google Scholar 

  10. S. Tang, Elastic stresses in rotating anisotropic disks, International Journal of Mechanical Sciences, 11 (1968) 509–517.

    Article  Google Scholar 

  11. M. Ruhi, A. Angoshtari and R. Naghdabadi, Thermoelastic analysis of thick-walled finite-length cylinders of functionally graded materials, Journal of Thermal Stresses, 28 (2005) 391–408.

    Article  Google Scholar 

  12. TY. Reddy and H. Srinath, Elastic stresses in a rotating anisotropic annular disk of variable thickness and variable density, International Journal of Mechanical Sciences, 16 (1974) 85–89.

    Article  Google Scholar 

  13. AN. Eraslan, Elastic-plastic deformation of rotating variable thickness annular disks with free, pressurized and radially constrained boundary conditions, International Journal of Mechanical Sciences, 45 (2003) 643–667.

    Article  MATH  Google Scholar 

  14. U. Guven, Elastic-plastic stresses in a rotating annular disk of variable thickness and variable density, International Journal of Mechanical Sciences, 34(2) (1992) 133–138.

    Article  Google Scholar 

  15. J. D. Kraus, Electromagnetic. McGraw-Hill, New York (1984).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Engineering, University of Kashan, Kashan, I.R. Iran

    A. Ghorbanpour Arani, A. Loghman, A. R. Shajari & S. Amir

Authors
  1. A. Ghorbanpour Arani
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Loghman
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. R. Shajari
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S. Amir
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Ghorbanpour Arani.

Additional information

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).

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-010-0701-0

Keywords

Search

Navigation