Comprehensive Studies on Mechanical Stress Analysis of Functionally Graded Plates

Stress analysis of functionally graded composite plates composed of ceramic, functionally graded material and metal layers is investigated using 3-D finite element method. In FGM layer, material properties are assumed to be varied continuously in the thickness direction according to a simple power law distribution in terms of the volume fraction of a ceramic and metal. The 3-D finite element model is adopted by using an 18-node solid element to analyze more accurately the variation of material properties in the thickness direction. Numerical results are compared for three types of materials. In the analysis, the tensile and the compressive stresses are summarized for various FGM thickness ratios, volume fraction distributions, geometric parameters and mechanical loads.

Authors:

• Kyung-Su Na
• Ji-Hwan Kim

Keywords:

• Functionally graded materials
• Stress analysis
• 3-D finite element method

References:

[1] J. N. Reddy and C. D. Chin, "Thermomechanical analysis of functionally
graded cylinders and plates," J. Thermal Stresses., vol. 21, 1998, pp.
593-626.
[2] K. S. Na and J. H. Kim, "Three-dimensional thermal buckling analysis of
functionally graded materials," Compos. Part B, Engng., vol. 35, no. 5,
2004, pp. 429-437.
[3] M. M. Najafizadeh and M. R. Eslami, "First-order-theory-based
thermoelastic stability of functionally graded material circular plates, "
AIAA J., vol. 40, no. 7, 2002, pp. 1444-1450.
[4] T. Nakamura, T. Wang and S. Sampath, "Determination of properties of
graded materials by inverse analysis and instrumented indentation," Acta.
Mater., vol. 48, 2000, pp. 4293-4306.
[5] J. Yang and H. S. Shen, "Nonlinear bending analysis of shear deformable
functionally graded plates subjected to thermo-mechanical loads under
various boundary conditions," Compos. Part B, Engng., vol. 34, 2003, pp.
103-115.
[6] L. S. Ma and T. J. Wang, "Nonlinear bending and post-buckling of a
functionally graded circular plate under mechanical and thermal loadings,"
Int. J. Solids Struct., vol. 40, 2003, pp. 3311-3330.
[7] S. S. Vel and R. C. Batra, "Three-dimensional analysis of transient
thermal stresses in functionally graded plates," Int. J. Solids Struct., vol.
40, 2003, pp. 7181-7196.
[8] L. F. Qian, R. C. Batra and L. .M. Chen, "Static and dynamic
deformations of thick functionally graded elastic plates by using
higher-order shear and normal deformable plate theory and meshless local
Petrov-Galerkin method, " Compos. Part B, Engng., vol. 35, 2004, pp.
685-697.
[9] Z. H. Jin and R. C. Batra, "R-curve and strength behavior of a functionally
graded material," Mater. Sci. Engng., vol. 242, 1998, pp. 70-76.
[10] K. Tanaka, H. Watanabe, Y. Sugano and V. F. Poterasu, "A multicriterial
material tailoring of a hollow cylinder in functionally gradient materials:
Scheme to global reduction of thermoelastic stresses," Comput. Methods
Appl. Mech. Engng., vol. 135, 1996, pp. 369-380.
[11] C. Li, Z. Zou and Z. Duan, "Stress intensity factors for functionally
graded solid cylinders," Engng. Fracture Mech., vol. 63, 1999, pp.
735-749.
[12] Y. Ootao, Y. Tanigawa and O. Ishimaru, "Optimization of material
composition of functionally graded plate for thermal stress relaxation
using a genetic algorithm," J. Thermal Stresses., vol. 23, 2000, pp.
257-271.
[13] J. R. Cho and J. H. Choi, "A yield-criteria tailoring of the volume fraction
in metal-ceramic functionally graded material," Eur. J. Mech. A/Solids.,
vol. 23, 2004, pp. 271-281.