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[1] J.N. Reddy, C.D. Chin, "Thermomechanical Analysis of Functionally Graded Cylinders and Plates", J. Therm. Stresses, Vol. 21, Issue 6, 1998, pp. 593–626.
[2] N. Tutuncu, M. Ozturk, " Exact solutions for stresses in functionally graded pressure vessels", Composites Part B: Engineering, Vol. 32, Issue 8, 2001, pp. 683–686.
[3] M. Jabbari, S. Sohrabpour, M.R. Eslami, "Mechanical and Thermal Stresses in a Functionally Graded Hollow Cylinder Due to Radially Symmetric Loads", International Journal of Pressure Vessels and Piping, Vol. 79, Issue 7, 2002, pp. 493–497.
[4] M. Jabbari, S. Sohrabpour, M.R. Eslami, "General Solution for Mechanical and Thermal Stresses in a Functionally Graded Hollow Cylinder Due to Nonaxisymmetric Steady-State Loads", Journal of Applied Mechanics, Transactions ASME, Vol. 70, No. 1, 2003, pp. 111–118.
[5] B. Chen, L. Tong, "Thermomechanically Coupled Sensitivity Analysis and Design Optimization of Functionally Graded Materials", Computer Methods in Applied Mechanics and Engineering, Vol. 194, Issues 18–20, 2005, pp. 1891–1911.
[6] Z.S. Shao, "Mechanical and Thermal Stresses of a Functionally Graded Circular Hollow Cylinder with Finite Length", International Journal of Pressure Vessels and Piping, Vol. 82, Issue 3, 2005, pp. 155–163.
[7] H.K. Ching, S.C. Yen, "Meshless Local Petrov- Galerkin Analysis for 2D Functionally Graded Elastic Solids under Mechanical and Thermal loads", Composites Part B: Engineering, Vol. 36, Issue 3, 2005, pp. 223–240.
[8] A. Oral, G. Anlas, "Effects of Radially Varying Moduli on Stress Distribution of Nonhomogeneous Anisotropic Cylindrical Bodies", International Journal of Solids and Structures, Vol. 42, Issue 20, 2005, pp. 5568–5588.
[9] Zh. Shi, T. Zhang, H. Xiang, " Exact Solutions of Heterogeneous Elastic Hollow Cylinders", Composite Structures, Vol. 79, Issue 1, 2007, pp.140–147.
[10] Z.S. Shao, T.J. Wang, "Three-Dimensional Solutions for the Stress Fields in Functionally Graded Cylindrical Panel with Finite Length and Subjected to Thermal/Mechanical Loads", International Journal of Solids and Structures, Vol. 43, Issue 13, 2006, pp. 3856–3874.
[11] H. Xiang, Zh. Shi, T. Zhang, "Elastic Analyses of Heterogeneous Hollow Cylinders", Mechanics Research Communications, Vol. 33, Issue 5, 2006, pp. 681–691.
[12] N. Tutuncu, "Stresses in Thick-Walled FGM Cylinders with Exponentially-Varying Properties", Engineering Structures, Vol. 29, Issue 9, September 2007, pp. 2032–2035.
[13] T. Akis, A.N. Eraslan, "The Stress Response and Onset of Yield of Rotating FGM Hollow Shafts", Acta Mechanica, Vol. 187, Issues 1–4, pp. 169–187, (2006).
[14] A.N. Eraslan, T. Akis, "On the Plane Strain and Plane Stress Solutions of Functionally Graded Rotating Solid Shaft and Solid Disk Problems", Acta Mechanica, Vol. 181, Issues 1–2, 2006, pp. 43–63.
[15] Tokovyy, Yu. V., Ma, Ch., Ch., "Analysis of 2D Non-Axisymmetric Elasticity and Thermoelasticity Problems for Radially Inhomogeneous Hollow Cylinders", Journal of Engineering Mathematics, Thermo-mechanics of Non-Homogeneous Structures, Vol. 61, Issues 2–4, 2008, pp. 171–184.
[16] Asemi, K., Salehi, M., Akhlaghi, M., "Elastic Solution of a Two-Dimensional Functionally Graded Thick Truncated Cone with Finite Length under Hydrostatic Combined Loads", Acta Mechanica, Vol 217, Issues 1–2, 2010, pp. 119–134.
[17] A. Najibi, M.H. Shojaeefard, "Elastic Mechanical Stress Analysis in a 2D-FGM Thick Finite Length Hollow Cylinder with Newly Developed Material Model", Acta Mechanica Solida Sinica, Vol 29, Issue 2, 2016, pp.178–191.
[18] T. Mori, T. Tanaka, "Average Stresses in Matrix and Average Elastic Energy of Materials with Misfitting Inclusions", Acta Metallurgica, Vol. 21, Issue 5, 1973, pp. 571–574.
[19] T. Reiter, G.J. Dvorak, V. Tvergaard, "Micromechanical Models for Graded Composite Materials", Journal of the Mechanics and Physics of Solids, Vol. 45, Issue 8, 1997, pp. 1281–1302.
[20] J.H. Kim, G.H. Paulino, "Iso-parametric Graded Finite Elements for Non-Homogeneous Isotropic and Orthotropic Materials", ASME, Journal of Applied Mechanics, Vol. 69, No. 4, 2002, pp. 502–514.
[21] H.K. Ching, S.C. Yen, "Meshless local Petrov-Galerkin analysis for 2D functionally graded elastic solids under mechanical and thermal loads", Composites Part B: Engineering, Vol. 36, Issue 3, 2005, pp. 223–240.
HMSO, London, pp. 1-8, (1996).
[22] M. Nemat-Alla, Kh.I.E. Ahmed, I. Hassab-Allah, "Elastic–Plastic Analysis of Two-Dimensional Functionally Graded Materials under Thermal Loading", International Journal of Solids & Structures,Vol. 46, Issues 14–15, 2009, pp. 2774–2786.
[23] N. Noda, Thermal Stresses in Functionally Graded Materials, Journal of Thermal Stresses, Vol. 22, Issues 4–5, 1999, pp. 477–512.