Approximate method for residual stress calculation in functionally graded materials

Mechanics of Materials

Volumn 32, Issue 2, 2000, Pages 85-97

  Becker Jr , T L ^a   Cannon, R M ^a   Ritchie, R O ^a  

^a LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPRESSIVE STRESS; COMPUTATIONAL METHODS; ELASTIC MODULI; ERROR ANALYSIS; RESIDUAL STRESSES; STRESS ANALYSIS; THERMAL EXPANSION; THERMAL STRESS; THERMOELASTICITY;

FUNCTIONALLY GRADED MATERIALS (FGM); THERMAL EXPANSION COEFFICIENT;

MATERIALS TESTING;

EID: 0034135492     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6636(99)00042-3     Document Type: Article

References (20)

1. Boley, B., Winer, J., 1985. Theory of Thermal Stresses. R.E. Krieger Pub. Co., Malabar, Fla.
2. Christensen R.M. A critical evaluation for a class of micro-mechanics models. J. Mech. Phys. Solids. 38:1990;379-404.
3. Delfosse D., Kunzi H.-U., Ilschner B. Experimental determination of residual stresses with a one-dimensional gradient of composition. Acta Metall. Mater. 40:1992;2219-2224.
4. Giannakopoulos A.E., Suresh S., Finot M., Olsson M. Elastoplastic analysis of thermal cycling: layered materials with compositional gradients. Acta Metall. Mater. 43:1995;1335-1354.
5. Grujicic, M., Zhao, H., 1998. Optimization of 316 stainless steel/alumina functionally graded material for reduction of damage induced by thermal residual stresses. Mater. Sci. Eng. A A252, 117-132.
6. Hill R. A self-consistent mechanics of composite materials. J. Mech. Phys. Solids. 13:1965;213-222.
7. Hoger A. On the determination of residual stress in an elastic body. J. Elasticity. 16:1986;303-324.
8. 2 FGMs fabricated by slip casting. Am. Ceram. Soc. Bull. 76:1997;231.
9. Lutz M.P., Zimmerman R.W. Thermal stresses and effective thermal expansion coefficient of a functionally gradient sphere. J. Thermal Stress. 19:1996;39-54.
10. Markworth A.J., Saunders J.H. A model of structure optimization for a functionally graded material. Mater. Lett. 22:1995;103-107.
11. Nikishin V.S. Thermal Stresses in a Composite Cylinder with an Arbitrary Temperature Distribution along its Length. 1966;Plenum Press, Data Division, New York.
12. Obata Y., Noda N. Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a functionally gradient material. J. Thermal Stresses. 17:1994;471-487.
13. 3 joint bonded with a composition interlayer: experimental measurements and FEM analysis. J. Amer. Cer. Soc. 81:1998;1541-1549.
14. Ravichandran K.S. Thermal residual stresses in a functionally graded material system. Mater. Sci. Eng. A. A201:1995;269-276.
15. Tanaka K., Watanabe H., Sugano Y. A multicriterial material tailoring of a hollow cylinder in functionally gradient materials: scheme to global reduction of thermoelastic stresses. Comput. Meth. Appl. Mech. Eng. 135:1996;369-380.
16. Tanigawa Y., Akai T., Kawamura R., Oka N. Transient heat conduction and thermal stress problems of a nonhomogeneous plate with temperature-dependent material properties. J. Thermal Stresses. 19:1996;77-102.
17. Touloukian, Y.S. (Ed.), 1975. Thermal expansion-metallic elements and alloys. Thermophysical Properties of Matter. IFI/Plenum, New York.
18. Touloukian, Y.S. (Ed.), 1977. Thermal expansion-nonmetallic solids. Thermophysical Properties of Matter. IFI/Plenum, New York.
19. Zienkiewicz O.C., Taylor R.L. The Finite Element Method. 1987;McGraw-Hill, New York.
20. Zuiker J.R. Functionally graded materials: choice of micromechanical model and limitations in property variation. Compos. Eng. 5:1995;807-819.