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Year 2016, Volume: 8 Issue: 1, 38 - 52, 03.06.2016
https://doi.org/10.24107/ijeas.251262

Abstract

References

  • Horgan C. and Chan A., The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials. Journal of Elasticity, 55, 43-59, 1999.
  • Horgan C. and Chan A., The stress response of functionally graded isotropic linearly elastic rotating disks. Journal of Elasticity, 55, 219-230, 1999.
  • Zenkour A.M., Analytical solutions for rotating exponentially-graded annular disks with various boundary conditions. International Journal of Structural Stability and Dynamics, 5, 557-577, 2005.
  • Eraslan A.N. and Akiş T., On the plane strain and plane stress solutions of functionally graded rotating solid shaft and solid disk problems, Acta Mechanica, 181 (1–2), 43–63, 2006.
  • Zenkour A.M., Elastic deformation of the rotating functionally graded annular disk with rigid casing, Journal of Materials Science, 42, 9717-9724, 2007.
  • Bayat M., Saleem M., Sahari B., Hamouda A. and Mahdi E., Analysis of functionally graded rotating disks with variable thickness, Mechanics Research Communications, 35, 283-309, 2008.
  • Peng X.L. and Li X.F., Thermoelastic analysis of a functionally graded annulus with an arbitrary gradient, Appl Math Mech, 30, 1211–1220, 2009.
  • Zenkour A.M. and Daoud S.M., Stress function of a rotating variable-thickness annular disk using exact and numerical methods, Engineering, 3, 422-430, 2011.
  • Saidi A., Naderi A. and Jomehzadeh E., A closed form solution for bending/stretching analysis of functionally graded circular plates under asymmetric loading using the Green function, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 224, 1153-1163, 2010.
  • 0] Çallıoğlu H., Bektaş N.B. and Sayer M., Stress analysis of functionally graded rotating discs: analytical and numerical solutions, Acta Mechanica Sinica, 27, 950-955, 2011.
  • 1] Ghorbani M.T., A semi-analytical solution for time-variant thermoelastic creep analysis of functionally graded rotating disks with variable thickness and properties, International Journal of Advanced Design and Manufacturing Technology, 5, 41-50, 2012.
  • 2] Nejad M.Z., Abedi M., Lotfian M.H. and Ghannad M., Elastic analysis of exponential FGM disks subjected to internal and external pressure, Central European Journal of Engineering, 3, 459 465, 2013.
  • 3] Nejad M.Z., Rastgoo A. and Hadi A., Exact elasto-plastic analysis of rotating disks made of functionally graded materials, International Journal of Engineering Science, 85, 47-57, 2014.
  • 4] Khorshidv A.R. and Khalili S.M.R., A new analytical solution for deformation and stresses in functionally graded rotating cylinder subjected to thermal and mechanical loads, Continuum Mechanics, Fluids, Heat, ISSN: 1790-5095, ISBN: 978-960-474-158-8: 201-204, 2010.
  • 5] Jabbari, M., Sohrabpour, S. and Eslami, M.R., General solution for mechanical and thermal stresses in a functionally graded hollow cylinder due to nonaxisymmetric steady-state loads, J. Appl. Mech., 70, 111–118, 2003.
  • 6] Vel S.S., Exact thermoelastic analysis of functionally graded anisotropic hollow cylinders with arbitrary material gradation, Mechanics of Advanced Materials and Structures,18, 14–31, 2011.
  • 7] Yıldırım V. and Boğa C., Closed-form elasticity solutions to uniform rotating discs made of a radially functionally graded material, IJIRSET International Journal of Innovative Research in Science, Engineering and Technology, 5/Special Issue 12, 80-91, 2016.
  • 8] Young W.C. and Budynas R.G., Roark’s Formulas for Stress and Strain, McGraw-Hill, Seventh Edition, New York, 2002.
  • 9] Bower A. F., Applied Mechanics of Solids. Taylor and Francis, 2012.

Analytic Solutions To Power-Law Graded Hyperbolic Rotating Discs Subjected To Different Boundary Conditions

Year 2016, Volume: 8 Issue: 1, 38 - 52, 03.06.2016
https://doi.org/10.24107/ijeas.251262

Abstract

The exact elastic response of a convergent/divergent hyperbolic rotating disc made of a power-law graded material is studied under different boundary conditions. Soundness of the formulas derived is verified with the literature. A parametric study is performed to investigate elastic responses of those discs under four boundary conditions such as a stationary disc subjected to internal/external pressures, a rotating disc: both surfaces may expand freely, a rotating disc mounted a rigid shaft: outer surface either may freely expand or contains a rigid casing

References

  • Horgan C. and Chan A., The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials. Journal of Elasticity, 55, 43-59, 1999.
  • Horgan C. and Chan A., The stress response of functionally graded isotropic linearly elastic rotating disks. Journal of Elasticity, 55, 219-230, 1999.
  • Zenkour A.M., Analytical solutions for rotating exponentially-graded annular disks with various boundary conditions. International Journal of Structural Stability and Dynamics, 5, 557-577, 2005.
  • Eraslan A.N. and Akiş T., On the plane strain and plane stress solutions of functionally graded rotating solid shaft and solid disk problems, Acta Mechanica, 181 (1–2), 43–63, 2006.
  • Zenkour A.M., Elastic deformation of the rotating functionally graded annular disk with rigid casing, Journal of Materials Science, 42, 9717-9724, 2007.
  • Bayat M., Saleem M., Sahari B., Hamouda A. and Mahdi E., Analysis of functionally graded rotating disks with variable thickness, Mechanics Research Communications, 35, 283-309, 2008.
  • Peng X.L. and Li X.F., Thermoelastic analysis of a functionally graded annulus with an arbitrary gradient, Appl Math Mech, 30, 1211–1220, 2009.
  • Zenkour A.M. and Daoud S.M., Stress function of a rotating variable-thickness annular disk using exact and numerical methods, Engineering, 3, 422-430, 2011.
  • Saidi A., Naderi A. and Jomehzadeh E., A closed form solution for bending/stretching analysis of functionally graded circular plates under asymmetric loading using the Green function, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 224, 1153-1163, 2010.
  • 0] Çallıoğlu H., Bektaş N.B. and Sayer M., Stress analysis of functionally graded rotating discs: analytical and numerical solutions, Acta Mechanica Sinica, 27, 950-955, 2011.
  • 1] Ghorbani M.T., A semi-analytical solution for time-variant thermoelastic creep analysis of functionally graded rotating disks with variable thickness and properties, International Journal of Advanced Design and Manufacturing Technology, 5, 41-50, 2012.
  • 2] Nejad M.Z., Abedi M., Lotfian M.H. and Ghannad M., Elastic analysis of exponential FGM disks subjected to internal and external pressure, Central European Journal of Engineering, 3, 459 465, 2013.
  • 3] Nejad M.Z., Rastgoo A. and Hadi A., Exact elasto-plastic analysis of rotating disks made of functionally graded materials, International Journal of Engineering Science, 85, 47-57, 2014.
  • 4] Khorshidv A.R. and Khalili S.M.R., A new analytical solution for deformation and stresses in functionally graded rotating cylinder subjected to thermal and mechanical loads, Continuum Mechanics, Fluids, Heat, ISSN: 1790-5095, ISBN: 978-960-474-158-8: 201-204, 2010.
  • 5] Jabbari, M., Sohrabpour, S. and Eslami, M.R., General solution for mechanical and thermal stresses in a functionally graded hollow cylinder due to nonaxisymmetric steady-state loads, J. Appl. Mech., 70, 111–118, 2003.
  • 6] Vel S.S., Exact thermoelastic analysis of functionally graded anisotropic hollow cylinders with arbitrary material gradation, Mechanics of Advanced Materials and Structures,18, 14–31, 2011.
  • 7] Yıldırım V. and Boğa C., Closed-form elasticity solutions to uniform rotating discs made of a radially functionally graded material, IJIRSET International Journal of Innovative Research in Science, Engineering and Technology, 5/Special Issue 12, 80-91, 2016.
  • 8] Young W.C. and Budynas R.G., Roark’s Formulas for Stress and Strain, McGraw-Hill, Seventh Edition, New York, 2002.
  • 9] Bower A. F., Applied Mechanics of Solids. Taylor and Francis, 2012.
There are 19 citations in total.

Details

Subjects Engineering
Other ID JA66FE86KB
Journal Section Articles
Authors

V. Yıldırım This is me

Publication Date June 3, 2016
Published in Issue Year 2016 Volume: 8 Issue: 1

Cite

APA Yıldırım, V. (2016). Analytic Solutions To Power-Law Graded Hyperbolic Rotating Discs Subjected To Different Boundary Conditions. International Journal of Engineering and Applied Sciences, 8(1), 38-52. https://doi.org/10.24107/ijeas.251262
AMA Yıldırım V. Analytic Solutions To Power-Law Graded Hyperbolic Rotating Discs Subjected To Different Boundary Conditions. IJEAS. March 2016;8(1):38-52. doi:10.24107/ijeas.251262
Chicago Yıldırım, V. “Analytic Solutions To Power-Law Graded Hyperbolic Rotating Discs Subjected To Different Boundary Conditions”. International Journal of Engineering and Applied Sciences 8, no. 1 (March 2016): 38-52. https://doi.org/10.24107/ijeas.251262.
EndNote Yıldırım V (March 1, 2016) Analytic Solutions To Power-Law Graded Hyperbolic Rotating Discs Subjected To Different Boundary Conditions. International Journal of Engineering and Applied Sciences 8 1 38–52.
IEEE V. Yıldırım, “Analytic Solutions To Power-Law Graded Hyperbolic Rotating Discs Subjected To Different Boundary Conditions”, IJEAS, vol. 8, no. 1, pp. 38–52, 2016, doi: 10.24107/ijeas.251262.
ISNAD Yıldırım, V. “Analytic Solutions To Power-Law Graded Hyperbolic Rotating Discs Subjected To Different Boundary Conditions”. International Journal of Engineering and Applied Sciences 8/1 (March 2016), 38-52. https://doi.org/10.24107/ijeas.251262.
JAMA Yıldırım V. Analytic Solutions To Power-Law Graded Hyperbolic Rotating Discs Subjected To Different Boundary Conditions. IJEAS. 2016;8:38–52.
MLA Yıldırım, V. “Analytic Solutions To Power-Law Graded Hyperbolic Rotating Discs Subjected To Different Boundary Conditions”. International Journal of Engineering and Applied Sciences, vol. 8, no. 1, 2016, pp. 38-52, doi:10.24107/ijeas.251262.
Vancouver Yıldırım V. Analytic Solutions To Power-Law Graded Hyperbolic Rotating Discs Subjected To Different Boundary Conditions. IJEAS. 2016;8(1):38-52.

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