Skip to main content
SpringerLink
Log in

Transient solution of temperature field in functionally graded hollow cylinder with finite length using multi layered approach

  • Published:
International Journal of Mechanics and Materials in Design Aims and scope Submit manuscript

Abstract

In this paper by using a multi-layered approach based on the theory of laminated composites, the solution of temperature in functionally graded circular hollow cylinders subjected to transient thermal boundary conditions are presented. The material properties are assumed to be temperature-independent and radially dependent. The cylinder has finite length and is subjected to axisymmetric thermal loads. It is assumed that the functionally graded circular hollow cylinder is composed of N fictitious layers and the properties of each layer are assumed to be homogeneous and isotropic. Employing Laplace transform techniques and series solving method for two-dimensional heat conduction equation in the cylinder, solutions for the variation of temperature with time as well as temperature distribution through the cylinder are obtained.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  • Asgari, M., Akhlaghi, M.: Transient heat conduction in two-dimensional functionally graded hollow cylinder with finite length. Heat Mass Transfer 45, 1383–1392 (2009)

    Article  Google Scholar 

  • Asgari, M., Akhlaghi, M.: Transient thermal stresses in two-dimensional functionally graded thick hollow cylinder with finite length. Arch. Appl. Mech. 80, 353–376 (2010)

    Article  Google Scholar 

  • Bayat, M., Sahari, B.B., Saleem, M., Hamouda, A.M.S., Reddy, J.N.: Thermo elastic analysis of functionally graded rotating disks with temperature-dependent material properties: uniform and variable thickness. Int. J. Mech. Mater. Des. 5, 263–279 (2009)

    Article  Google Scholar 

  • Chen, B., Tong, L.: Sensitivity analysis of heat conduction for functionally graded materials. Mater. Design 25, 663–672 (2004)

    Article  Google Scholar 

  • Durbin, F.: Numerical inversion of Laplace transforms an efficient improvement to Dubner and Abate’s method. Comput J 17, 371–376 (1973)

    Google Scholar 

  • Hosseini, M., Akhlaghi, M., Shakeri, M.: Transient heat conduction in functionally graded thick hollow cylinders by analytical method. Heat Mass Transfer 43, 669–675 (2007)

    Article  Google Scholar 

  • Jabbari, M., Sohrabpour, S., Eslami, M.R.: Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads. Int. J. Press. Vessel. Pip. 79, 493–497 (2002)

    Article  Google Scholar 

  • Jabbari, M., Sohrabpour, S., Eslami, M.R.: General solution for mechanical and thermal stresses in a functionally graded hollow cylinder due to nonaxisymmetric steady-state loads. ASME J. Appl. Mech. 70, 111–118 (2003)

    Article  MATH  Google Scholar 

  • Jin, Z.H.: An asymptotic solution of temperature field in a strip of a functionally graded material. Int. Common Heat Mass Transfer 29, 887–895 (2002)

    Article  Google Scholar 

  • Koizumi, M.: The concept of FGM. Ceram. Trans. Funct. Graded Mater. 34, 3–10 (1993)

    Google Scholar 

  • Shao, Z.S.: Mechanical and thermal stresses of a functionally graded circular hollow cylinder with finite length. Int. J. Press. Vessel. Pip. 82, 155–163 (2005)

    Article  Google Scholar 

  • Shao, Z.S., Ma, G.W.: Thermo-mechanical stresses in functionally graded circular hollow cylinder with linearly increasing boundary temperature. Compos. Struct. 83(3), 259–265 (2008)

    Article  Google Scholar 

  • Sladek, J., Sladek, V., Zhang, C.H.: Transient heat conduction analysis in functionally graded materials by the meshless local boundary integral equation method. Comput. Mater. Eng. 28, 494–504 (2003)

    Article  Google Scholar 

  • Tarn, J.Q., Wang, Y.M.: End effects of heat conduction in circular cylinders of functionally graded materials and laminated composites. Int. J. Heat Mass Transfer 47, 5741–5747 (2004)

    Article  MATH  Google Scholar 

  • Wang, B.L., Tian, Z.H.: Application of finite element-finite difference method to the determination of transient temperature field in functionally graded materials. Finite Elements Anal. Des. 41, 335–349 (2005)

    Article  MATH  Google Scholar 

  • Wang, B.L., Mai, Y.W., Zhang, X.H.: Thermal shock resistance of functionally graded materials. Acta Mater. 52, 4961–4972 (2004)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mechanical Engineering Department, Amirkabir University of Technology, Tehran, 15914, Iran

    Yousef Rahmati Nezhad & Kamran Asemi

  2. Mechanical Engineering Department, Amirkabir University of Technology, P.O. Box 15875-4413, Hafez Ave., Tehran, 15914, Iran

    Mehdi Akhlaghi

Authors
  1. Yousef Rahmati Nezhad
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kamran Asemi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Mehdi Akhlaghi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mehdi Akhlaghi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rahmati Nezhad, Y., Asemi, K. & Akhlaghi, M. Transient solution of temperature field in functionally graded hollow cylinder with finite length using multi layered approach. Int J Mech Mater Des 7, 71–82 (2011). https://doi.org/10.1007/s10999-011-9151-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10999-011-9151-9

Keywords

Search

Navigation