Reduction of thermal stresses by developing two-dimensional functionally graded materials

International Journal of Solids and Structures

Volumn 40, Issue 26, 2003, Pages 7339-7356

  Nemat Alla, Mahmoud ^a  

^a Assiut University   (Egypt)

Author keywords

2D FGM; FGM; Rules of mixture; Thermal stresses; Volume fractions

Indexed keywords

FUNCTIONALLY GRADED MATERIALS; MATERIALS SCIENCE; MIXTURES; VOLUME FRACTION;

AEROSPACE SHUTTLES;

THERMAL STRESS;

SPACE SHUTTLE; STRESS;

EID: 0242490336     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2003.08.017     Document Type: Article

References (35)

1. Aboudi J. Pindera M. Arnold S. Thermoplasticity theory for bi-directionally functionally graded materials Journal of Thermal Stresses 19 1996 809-861
2. Aboudi J. Pindera M. Arnold S. Thermoelastic theory for the response of materials functionally graded in two directions International Journal of Solids and Structures 33 1996 931-966
3. Arai, Y., Kobayashi, K., Tamura, M., 1991. Elastic-plastic thermal stresses analysis for optimum design of FGM. In: FGM Proceedings of Fourth National Symposium on Functionally Gradient Materials (FGM'91), Kawasaki, Japan, pp. 19-30
4. Bhushaan B. Gupta B.K. Handbook of Tribology, Materials, Coatings and Surface Treatments 1997 Krieger Malabar, FL
5. Callister W.D.Jr. Materials Science and Engineering an Introduction 2001 John Wiley - Sons New York
6. Cho J.R. Ha D.Y. Optimal tailoring of 2D volume-fraction distributions for heat-resisting functionally graded materials using FDM Computer Methods in Applied Mechanics and Engineering 191 2002 3195-3211
7. Choi H.J. An analysis of cracking in a layered medium with a functionally graded non-homogenous interface ASME Journal of Applied Mechanics 63 1996 479-486
8. Choules B.D. Kokini K. Architecture of functionally graded ceramic coating against surface thermal fracture ASME Journal of Engineering Materials and Technology 118 1996 522-528
9. Clements D.L. Kusuma J. Ang W.T. A note on antiplane deformations of inhomogeneous materials International Journal of Engineering Science 35 1997 593-601
10. Dhaliwal R.S. Singh B.M. On the theory of elasticity of a non-homogeneous medium Journal of Elasticity 8 1978 211-219
11. Erdogan F. Kaya A.C. Joseph P.F. The crack problem in bonded non-homogeneous material ASME Journal of Applied Mechanics 58 1991 410-418
12. Erdogan F. Wu B.H. Crack problems in FGM layers under thermal stresses Journal of Thermal Stresses 19 1996 237-265
13. Erdogan F. Wu B.H. The surface crack problem for a plate with functionally graded properties ASME Journal of Applied Mechanics 64 1997 449-456
14. Fuchiyama T. Noda N. Tsuji T. Obata Y. Analysis of thermal stress and stress intensity factor of functionally gradient materials Proceeding of Ceramic Transactions: Functionally Gradient Materials vol. 34 1993 425-432 American Ceramic Society Westerville
15. Fujimoto, T., Noda, N., 2001. Multiple crack growths in the functionally graded plate under thermal shock. In: Proceeding of 4th International Congress on Thermal stresses, pp.121-124
16. Hassab-Allah H. Nemat-Alla M. Transient thermal stress intensity factors for edge and internal cracks in FGM plate Journal of Sciences and Engineering 3 2002 529-549
17. Hindustan Times, 2003. Available from
18. International Herald Tribune, 2003. Available from
19. Jin Z. Noda N. Crack-tip singular fields in non-homogeneous materials ASME Journal of Applied Mechanics 61 1994 738-740
20. Jin Z. Batra R.C. Stress intensity relaxation at the tip of an edge crack in a functionally graded material subjected to a thermal shock Journal of Thermal Stresses 19 1996 317-339
21. Kerner, E.H., 1956. The elastic and thermo-elastic properties of composite media. In: Proceeding of Physics Society, Lond., B, vol. 69, p. 808
22. Kingery W.D. Bowen H. Uhlmann D.R. Introduction of Ceramics 1976 John Wiley - Sons New York
23. Kokini, K., Takeuchi, Y., Choules B., 1997. Thermal fracture mechanisms in functionally graded coatings. In: Proceedings of FGM'96, pp. 149-154
24. Noda, N., Tsuji, T., 1991. Steady thermal stresses in a plate of functionally gradient material. In: FGM Forum Proc., First International Symposium on Functionally Gradient Materials, Sendai, Japan, pp. 339-344
25. Noda N. Jin Z. Steady thermal stresses in a infinite non-homogenous elastic solid containing a crack Journal of Thermal Stresses 16 1993 181-196
26. Noda N. Jin Z. Crack-tip singularity fields in non-homogeneous body under thermal stress fields JSME, Series A 38 1995 364-369
27. Noda N. Thermal stresses intensity factor for functionally gradient plate with an edge crack Journal of Thermal Stresses 20 1997 373-387
28. Nemat-Alla M. Noda N. Thermal stress intensity factor for functionally gradient half space with an edge crack under thermal load Archive of Applied Mechanics 66 1996 569-580
29. Nemat-Alla M. Noda N. Study of an edge crack problem in a semi-infinite functionally graded medium with two dimensionally non-homogenous coefficient of thermal expansion under thermal load Journal of Thermal Stresses 19 1996 863-888
30. Nemat-Alla M. Noda N. Edge crack problem in a semi-infinite FGM plate with a bi-directional coefficient of thermal expansion under two-dimensional thermal loading Acta Mechanica 144 2000 211-229
31. Nemat-Alla, M., Noda, N., Hassab-Allah, I., 2001. Analysis and investigation of thermal stress intensity factor for edge cracked FGM plates. In: Bulletin of the Faculty of Engineering, Assiut university, Egypt, vol. 29, pp. 89-102
32. Steinberg Morris A. Materials for Aerospace, US goals for subsonic, supersonic and hypersonic flight and for space exploration call for alloys and composites notable for strength, light weight and resistance to heat Scientific American 244 1986 59-64
33. Sumi N. Sugano Y. Thermally induced stress waves in functionally graded materials with temperature-dependent material properties Journal of Thermal Stresses 20 1997 281-294
34. Tang X.F. Zhang L.M. Zhang Q.J. Yuan R.Z. Design and structural control of PSZ-MO functionally gradient materials with thermal relaxation Proceeding of Ceramic Transactions: Functionally Gradient Materials vol. 34 1993 457-463 American Ceramic Society Westerville
35. Wang B.L. Han G.C. Du S.Y. Thermo-elastic fracture mechanics for non-homogenous material subjected to unsteady thermal load ASME Journal of Applied Mechanics 67 2000 87-95