Semi-Analytical Solution of Functionally Graded Circular Short Hollow Cylinder Subject to Transient Thermal Loading

Open access

Abstract

In this paper, by using a semi-analytical solution based on multi-layered approach, the authors present the solutions of temperature, displacements, and transient thermal stresses in functionally graded circular hollow cylinders subjected to transient thermal boundary conditions. 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. Time variations of the temperature, displacements, and stresses are obtained by employing series solving method for ordinary differential equation, Laplace transform techniques and a numerical Laplace inversion.

[1] Awaji H., Sivakuman R.: Temperature and stress distributions in a hollow cylinder of function-ally graded material: the case of temperature- dependent material properties. J. Am. Ceram. Soc 2001, 84, 059-1065.

[2] Jin Z. H.: An asymptotic solution of temperature field in a strip of a functionally graded material, Int Common strip of a functionally graded material. Int. Common Heat Mass Trans 2002, 29(7), 887-895.

[3] Kim K.S., Noda N.: Green’s function approach to unsteady thermal stresses in an infinite hollow cylinder of functionally graded material. Acta Mech 2002, 156, 145-61.

[4] Kim K.S., Noda N.: A Green’s function approach to the deflection of a FGM plate under transient thermal loading. Arch Appl Mech 2002, 72, 127-37.

[5] Jabbari M., Sohrabpour S., Eslami M. R.: Mechanical and thermal stresses in functionally graded hollow cylinder due to radially symmetric loads. Int J Pressure Vessels Piping 2002, 79, 493-7.

[6] 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 Transf 2004, 47, 5741-5747.

[7] Chen B., Tong L.: Sensivity analysis of heat conduction for functionally graded materials. Mater Des 2004, 25, 663-672.

[8] Wang B.L., Mai Y.W., Zhang X.H.: Thermal shock resistance of functionally graded materials. Acta Mater 2004, 52, 4961-4972.

[9] Shao Z.S., Fan L.F., Wang T.J.: Analytical solutions of stresses in functionally graded circular hollow cylinder with finite length. Key Eng Mater 2004, 261-263, 651-6.

[10] Shao Z.S.: Mechanical and thermal stresses of a functionally graded circular hollow cylinder with finite length. Int. J. Press. Vessels Piping 2005, 82, 155-163.

[11] 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 Elem. Anal. Des 2005, 41, 335-349.

[12] Jabbari M., Mohazzab A.H., Bahtui A., Eslami M.R.: Analytical solution for three dimensional stresses in a short length FGM hollow cylinder. ZAMM. Z. Angew. Math. Mech 2007, 87, 413-429.

[13] Hosseini M., Akhlaghi M., Shakeri M.: Transient heat conduction in functionally graded thick hollow cylinders by analytical method. Heat Mass Transf 2007, 43, 669-675.

[14] Shao Z.S., Ma G.W.: Thermo-mechanical stresses in functionally graded circular hollow cylinder with linearly increasing boundary temperature. Compos Struct 2008, 83(3), 259265.

[15] Asgari M., Akhlaghi M.: Transient heat conduction in two-dimensional functionally graded hollow cylinder with finite length. Heat Mass Transfer 2009, 45, 1383-1392.

[16] 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 2011, 7, 71-82.

[17] Durbin F.: Numerical inversion of Laplace transforms an efficient improvement to Dubner and Abate’s method. The Computer Journal, 1973, 371-376.

Archive of Mechanical Engineering

The Journal of Committee on Machine Building of Polish Academy of Sciences

Journal Information


CiteScore 2016: 0.44

SCImago Journal Rank (SJR) 2016: 0.162
Source Normalized Impact per Paper (SNIP) 2016: 0.459

Metrics

All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 35 35 17
PDF Downloads 10 10 7