Skip to main content
SpringerLink
Log in

Thermoelastic analysis of non-uniform pressurized functionally graded cylinder with variable thickness using first order shear deformation theory(FSDT) and perturbation method

  • Published:
Chinese Journal of Mechanical Engineering Submit manuscript

Abstract

Recently application of functionally graded materials(FGMs) have attracted a great deal of interest. These materials are composed of various materials with different micro-structures which can vary spatially in FGMs. Such composites with varying thickness and non-uniform pressure can be used in the aerospace engineering. Therefore, analysis of such composite is of high importance in engineering problems. Thermoelastic analysis of functionally graded cylinder with variable thickness under non-uniform pressure is considered. First order shear deformation theory and total potential energy approach is applied to obtain the governing equations of non-homogeneous cylinder. Considering the inner and outer solutions, perturbation series are applied to solve the governing equations. Outer solution for out of boundaries and more sensitive variable in inner solution at the boundaries are considered. Combining of inner and outer solution for near and far points from boundaries leads to high accurate displacement field distribution. The main aim of this paper is to show the capability of matched asymptotic solution for different non-homogeneous cylinders with different shapes and different non-uniform pressures. The results can be used to design the optimum thickness of the cylinder and also some properties such as high temperature residence by applying non-homogeneous material.

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. NZENGWA R, SIMO B H T. A two-dimensional model for linear elastic thick shells[J]. International Journal of Solids and Structures, 1999, 36(34): 5141–5176.

    Article  MathSciNet  MATH  Google Scholar 

  2. TUTUNCU N, OZTURK M. Exact solutions for stresses in functionally graded pressure vessels[J]. Composites Part B: Engineering, 2001, 32(8): 683–686.

    Article  Google Scholar 

  3. TUTUNCU N. Stresses in thick-walled FGM cylinders with exponentially-varying properties[J]. Engineering Structures, 2007, 29(9): 2032–2035.

    Article  Google Scholar 

  4. AREFI M, RAHIMI G H. Comprehensive thermoelastic analysis of a functionally graded cylinder with different boundary conditions under internal pressure using first order shear deformation theory[J]. Mechanika, 2012, 18(1): 5–13.

    Article  MathSciNet  Google Scholar 

  5. AREFI M, RAHIMI G H, KHOSHGOFTAR M J. Exact solution of a thick walled functionally graded pizeoelectric cylinder under mechanical, thermal and electrical loads in the magnetic field[J]. Smart Structures and Systems, 2012, 9(5): 427–439.

    Article  Google Scholar 

  6. AREFI M, RAHIMI G H, KHOSHGOFTAR M J. Optimized design of a cylinder under mechanical, magnetic and thermal loads as a sensor or actuator using a functionally graded piezomagnetic material[J]. International Journal of Physical Sciences, 2011, 6(27): 6315–6322.

    Google Scholar 

  7. KHOSHGOFTAR M J, GHORBANPOUR ARANI A, AREFI M. Thermoelastic analysis of a thick walled cylinder made of functionally graded piezoelectric material[J]. Smart Materials and Structures, 2009, 18(11): 115007.

    Article  Google Scholar 

  8. RAHIMI G H, AREFI A, KHOSHGOFTAR M J. Electro elastic analysis of a pressurized thick-walled functionally graded piezoelectric cylinder using the first order shear deformation theory and energy method[J]. Mechanika, 2012, 18(3): 292–300.

    Article  Google Scholar 

  9. ZAMANI NEJAD M, RAHIMI G H, GHANNAD M. Set of field equations for thick shell of revolution made of functionally graded materials in curvilinear coordinate system[J]. Mechanika, 2009, 77(3): 18–26.

    Google Scholar 

  10. LIEW K M, KITIPORNCHAI S, ZHANG X Z, et al. Analysis of the thermal stress behaviour of functionally graded hollow circular cylinders[J]. International Journal of Solids and Structures, 2003, 40(10): 2355–2380.

    Article  MATH  Google Scholar 

  11. JABBARI M, BAHTUI A, ESLAMI M R. Axisymmetric mechanical and thermal stresses in thick short length FGM cylinders[J]. International Journal of Pressure Vessels and Piping, 2009, 86(5): 296–306.

    Article  Google Scholar 

  12. ZHANG W, HAO Y X, YANG J. Nonlinear dynamics of FGM circular cylindrical sheel with clamped-clamped edges[J]. Composite Structures, 2012, 94(3): 1075–1086.

    Article  MathSciNet  Google Scholar 

  13. SHENG G G, WANG X. Thermal vibration, buckling and dynamic stability of functionally graded cylindrical shells embedded in an elastic medium[J]. Journal of Reinforced Plastics and Composites, 2008, 27(2): 117–134.

    Article  Google Scholar 

  14. TORNABENE F, VIOLA E. Free vibration analysis of functionally graded panels and shells of revolution[J]. Meccanica, 2009, 44(3): 255–281.

    Article  MATH  Google Scholar 

  15. NAJAFIZADEH M M, ISVANDZIBAEI M R. Vibration of functionally graded cylindrical shells based on different shear deformation shell theories with ring support under various boundary conditions[J]. Journal of Mechanical Science and Technology, 2009, 23(8): 2072–2084.

    Article  Google Scholar 

  16. SANTOS H, CMM Soares, CAM Soares, et al. A semi-analytical finite element model for the analysis of cylindrical shells made of functionally graded materials[J]. Composite Structures, 2009, 91(4): 427–432.

    Article  Google Scholar 

  17. GHANNAD M, NEJAD M Z. Elastic analysis of pressurized thick hollow cylindrical shells with clamped-clamped ends[J]. Mechanika, 2010, 85(5): 11–18.

    Google Scholar 

  18. GHANNAD M, RAHIMI G H, NEJAD M Z. Determination of displacements and stresses in pressurized thick cylindrical shells with variable thickness using perturbation technique[J]. Mechanika, 2012, 18(1): 14–21.

    Article  Google Scholar 

  19. KHOSHGOFTAR M J, RAHIMI G H, AREFI M. Exact solution of functionally graded thick cylinder with finite length under longitudinally non-uniform pressure[J]. Mechanics Research Communication, 2013, 51: 61–66.

    Article  Google Scholar 

  20. RAHIMI G H, AREFI M, KHOSHGOFTAR M J. Application and analysis of functionally graded piezoelectrical rotating cylinder as mechanical sensor subjected to pressure and thermal loads[J]. Applied Mathematics and Mechanics(English Edition), 2011, 32(8): 997–1008.

    Article  MATH  Google Scholar 

  21. REDDY J N, KIM J. A nonlinear modified couple stress-based third-order theory of functionally graded plates[J]. Composite Structures, 2012, 94(3): 1128–1143.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Mechanical Engineering, Tarbiat Modares University, Tehran, 14115-111, Iran

    M. J. Khoshgoftar & G. H. Rahimi

  2. Department of Mechanical Engineering, Faculty of Engineering, Arak University, Arak, 38156-88349, Iran

    M. J. Khoshgoftar

  3. Department of Mechanical Engineering, Politecnico di Milano, Milan, 20156, Italy

    M. J. Mirzaali

Authors
  1. M. J. Khoshgoftar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. J. Mirzaali
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. H. Rahimi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. J. Khoshgoftar.

Additional information

KHOSHGOFTAR M J, born in 1986, received his PhD degree from Tarbiat Modares University, Iran, in 2014. His research interests include advanced materials and analytic methods.

MIRZAALI M J, born in 1985, is a PhD candidate at Politecnico di Milano, Milan, Italy. His research interests include finite element analysis, biomechanics and fracture and damage mechanics.

RAHIMI G H is currently a professor and a PhD candidate supervisor at Tarbiat Modares University, Iran. He received his PhD degree from UMIST, England. His research interests include composite materials, shells and plates analysis.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Khoshgoftar, M.J., Mirzaali, M.J. & Rahimi, G.H. Thermoelastic analysis of non-uniform pressurized functionally graded cylinder with variable thickness using first order shear deformation theory(FSDT) and perturbation method. Chin. J. Mech. Eng. 28, 1149–1156 (2015). https://doi.org/10.3901/CJME.2015.0429.048

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3901/CJME.2015.0429.048

Keywords

Search

Navigation