References
- B. L. Wang and Y. W. Mai, “Transient one-dimensional heat conduction problems solved by finite element,” Int. J. Mech., vol. 47, pp. 303–317, 2005.
- S. H. Chan and K. A. Khor, “The effect of thermal barrier coated piston crown on engine characteristics,” J. Mater. Eng. Perform., vol. 9, pp. 103–109, 2000.
- E. Buyukkaya, “Thermal analysis of functionally graded coating Alsi alloy and steel pistons,” Surf. Coatings Technol., vol. 202, pp. 3856–3865, 2008.
- B. Zhao, “Thermal stress analysis of ceramic-coated diesel engine pistons based on the wavelet finite-element method,” J. Eng. Mech., vol. 138, pp. 143–149, 2012.
- M. Thieme et al., “Titanium powder sintering for preparation of a porous functionally graded material destined for orthopaedic implants,” J. Mater. Sci. Mater. Med., vol. 12, pp. 225, 2001.
- M. J. Suk, S. I. Choi, J. S. Kim, Y. Do Kim, and Y. S. Kwon, “Fabrication of a porous material with a porosity gradient by a pulsed electric current sintering process,” Met. Mater. Int., vol. 9, pp. 599–603, 2003.
- Y. Ootao, Y. Tanigawa, and T. Fukuda, “Axisymmetric transient thermal stress analysis of a multilayered composite hollow cylinder,” J. Therm. Stress., vol. 14, pp. 201–213, 1991.
- J. Argyris, L. Tenek, and F. Öberg, A multilayer composite triangular element for steady-state conduction/convection/radiation heat transfer in complex shells,” Comput. Methods Appl. Mech. Eng., vol. 120, pp. 271–301, 1995.
- M. H. Kayhani, M. Shariati, M. Nourozi, and M. Karimi Demneh, “Exact solution of conductive heat transfer in cylindrical composite laminate,” Heat Mass Transf., vol. 46, pp. 83–94, 2009.
- J. Q. Tarn, “Exact solutions for functionally graded Aniso-tropic cylinders subjected to thermal and mechanical loads,” Int J Solids Struct., vol. 38, pp. 8189–8206, 2001.
- J. Q. Tarn, “State space formalism for anisotropic elasticity. Part II: cylindrical anisotropy,” Int J Solids Struct., vol. 39, pp. 5157–5172, 2002.
- J. Q. Tarn, “Heat conduction in a cylindrically anisotropic tube of a functionally graded material, Chin J Mech., vol. 19, pp. 365–372, 2003.
- S. S. Vel, “Exact solution for thermoelastic deformations of functionally graded thick rectangular plates,” AIAA J., vol. 40, pp. 1421–1433, 2002.
- Y. Xu, L. Wang, and Z. Zhang, “Analysis of convective heat transfer steady thermal stresses in a ZrO2/FGM/Ti-6Al-4V composite ECBF plate by FEM,” International Joint Conference on Computational Sciences and Optimization, April 24?26, vol. 1, pp. 266–269. Washington, DC, USA: IEEE 2009.
- B. L. Wang, Y. W. Mai, and X. H. Zhang, “Thermal shock resistance of functionally graded materials,” Acta Mater., vol. 52, pp. 4961–4972, 2004.
- A. Sutradhar, G. H. Paulino, and L. J. Gray, “Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method,” Eng. Anal. Bound. Elem., vol. 26, pp. 119–132, 2002.
- A. Sutradhar, G. H. Paulino, and L. J. Gray, “On hypersingular surface integrals in the symmetric Galerkin boundary element method: application to heat conduction in exponentially graded materials,” Int. J. Numer. Methods Eng., vol. 62, pp. 122–157, 2005.
- Y. Ochiai, “Two-dimensional unsteady heat conduction analysis with heat generation by triple-reciprocity BEM,” Int. J. Numer. Methods Eng., vol. 51, pp. 143–157, 2001.
- J. Sladek, V. Sladek, and C. Zhang, “A local BIEM for analysis of transient heat conduction with nonlinear source terms in FGMs,” Eng. Anal. Bound. Elem., vol. 28, pp. 1–11, 2004.
- J. Sladek, V. Sladek, and C. Zhang, “Transient heat conduction analysis in functionally graded materials by the meshless local boundary integral equation method,” Comput. Mater. Sci., vol. 28, pp. 494–504, 2003.
- H. Wang, Q. H. Qin, and Y. L. Kang, “A meshless model for transient heat conduction in functionally graded materials,” Comput. Mech., vol. 38, pp. 51–60, 2005.
- B. R. Baliga and S. V. Patankar, “A new finite-element formulation for convection-diffusion problems,” Numer. Heat Transfer, vol. 3, pp. 393–409, 1980.
- M. J. Raw, G. E. Schneider, and V. Hassanij, “A nine noded quadratic control volume based finite element for heat conduction,” J. Spacecraft Rockets, vol. 22, pp. 523–529, 1985.
- J. Charoensuk and P. Vessakosol, “A high order control volume finite element procedure for transient heat conduction analysis of functionally graded materials,” Heat Mass Transf., vol. 46, pp. 1261–1276, 2010.
- J. Gong, L. Xuan, P. Ming, and W. Zhang, “An unstructured finite-volume method for transient heat conduction analysis of multilayer functionally graded materials with mixed grids,” Numer. Heat Transf. Part B Fundam., vol. 63, pp. 222–247, 2013.
- J. Gong, L. Xuan, P. Ming, and W. Zhang, “Thermoelastic analysis of functionally graded solids using a staggered finite volume method,” Compos. Struct., vol. 104, pp. 134–143, 2013.
- J. Gong, L. Xuan, P. Ming, and W. Zhang, “Application of the staggered cell-vertex finite volume method to thermoelastic analysis in heterogeneous materials,” J. Therm. Stress., vol. 37, pp. 506–531, 2014.
- X. C. Wang, Finite Element Method. Beijing: Tsinghua University Press, 2003.
- A. Sutradhar and G. H. Paulino, “The simple boundary element method for transient heat conduction in functionally graded materials,” Comput. Methods Appl. Mech. Eng., vol. 193, pp. 4511–4539, 2004.
- H. K. Ching and S. C. Yen, “Transient thermoelastic deformations of 2-D functionally graded beams under nonuniformly convective heat supply,” Compos. Struct., vol. 73, pp. 381–393, 2006.