Axisymmetric bending of functionally graded circular and annular plates

European Journal of Mechanics, A/Solids

Volumn 18, Issue 2, 1999, Pages 185-199

  Reddy, J N ^a   Wang, C M ^b   Kitipornchai, S ^c  

^a Texas AandM University   (United States)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^c UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); DEFLECTION (STRUCTURES); NUMERICAL ANALYSIS; SHEAR DEFORMATION; STRESS ANALYSIS; STRUCTURAL ANALYSIS;

AXISYMMETRIC BENDING; FUNCTIONALLY GRADED PLATES;

PLATES (STRUCTURAL COMPONENTS);

EID: 0033099761     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0997-7538(99)80011-4     Document Type: Article

References (28)

1. Fuchiyama T., Noda N., Tsuji T., Obata Y., 1993, Analysis of thermal stress and stress intensity factor of functionally gradient materials, Ceram. Trans., Funct. Gradient Mater., 34, 425-432.
2. Fukui Y., 1991, Fundamental investigation of functionally gradient material manufacturing system using centrifugal force, Int. J. Jpn Soc. Mech. Eng., Ser. III, 34, 144-148.
3. Fukui Y., Yamanaka N., 1992, Elastic analysis for thick-walled tubes of functionally graded material subjected to internal pressure, Int. J. Jpn Soc. Mech. Eng., Ser. A, 35, 379-385.
4. Fukui Y., Yamanaka Y., Wakashima K., 1993, The stress and strains in a thick-walled tube of functionally graded materials under uniform thermal loading, Int. J. Jpn Soc. Mech. Eng., Ser. A, 36, 156-162.
5. Jin Z.H., Noda N., 1993, Minimization of thermal stress intensity factor for a crack in a metal-ceramic mixture, Ceram. Trans., Funct. Gradient Mater., 34, 47-54.
6. Jin Z.H., Noda N., 1994, Transient thermal stress intensity factors for a crack in a semi-infinite plate of a functionally gradient material, Int. J. Solids Struct., 31, 203-218.
7. Koizumi M., 1993, The concept of FGM, Ceram. Trans., Funct. Gradient Mater., 34, 3-10.
8. Noda N., 1991, Thermal stresses in materials with temperature-dependent properties, Appl. Mech. Rev., 44, 383-397.
9. Noda N., Jin Z.H., 1993, Thermal stress intensity factors for a crack in a strip of a functionally gradient material, Int. J. Solids Struct., 30, 1039-1056.
10. Obata Y., Noda N., 1994, Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a functionally gradient material, J. Therm. Stresses, 17, 471-188.
11. Obata Y., Noda N., Tsuji T., 1992, Steady thermal stresses in a functionally gradient material plate, Trans. JSME, 58, (553), 1689-1695.
12. Pravee G.N., Reddy J.N., 1998, Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates, Int. J. Solids Struct., 35 (33), 4457-4476.
13. Rabin B.H., Heaps R.J., 1993, Powder processing of Ni-A12O3 FGM, Ceram. Trans., Funct. Gradient Mater., 34, 173-180.
14. Reddy J.N., 1984, Energy and Variational Methods in Applied Mechanics, John Wiley, New York.
15. Reddy J.N., 1997, Mechanics of Laminated Composite Plates: Theory and Analysis, CRC Press, Boca Raton, Fl.
16. Reddy J.N., 1999, Theory and Analysis of Elastic Plates, Taylor & Francis, Philadelphia.
17. Reddy J.N., Chin, K., 1998, Thermomechanical behavior of functionally graded cylinders and plates, J. Therm. Stresses, 26 (1), 593-626.
18. Sata N., 1993, Characteristic of SiC-TiB2 composites as the surface layer of SiC-TiB2-Cu functionally gradient material produced by self-propagating high-temperature synthesis, Ceram. Trans. Funct. Gradient Mater., 34, 109-116.
19. Takeuti Y., Furukawa T., 1981, Some consideration on thermal shock problems in a plate, J. Appl. Mech., 48, 113-118.
20. Takeuti Y., Tanigawa Y., 1981, On a new method for axisymmetric coupled thermoelastic problems, J. Therm. Stresses, 4, 461-178.
21. Tanaka K., Tanaka Y., Enomoto K., Poterasu V.F., Sugano Y., 1993a, Design of thermoelastic materials using direct sensitivity and optimization methods. Reduction of thermal stresses in functionally gradient materials, Comp. Meth. Appl. Mech. Eng., 106, 271-284.
22. Tanaka K., Tanaka Y., Watanabe H., Poterasu V.F., Sugano Y., 1993b, An improved solution to thermoelastic materials designed in functionally gradient materials: Scheme to reduce thermal stresses., Comp. Meth. Appl. Mech. Eng., 106, 377-389.
23. Tanigawa Y., 1992, Theoretical approach of optimum design for a plate of functionally gradient materials under thermal loading, In: Thermal Shock and Thermal Fatigue Behavior of Advanced Ceramics, NATO ASI Ser. E, 241, 171-180.
24. Tanigawa, Y., 1995, Some basic thermoelastic problems for nonhomogeneous structural materials, Appl. Mech. Rev., 48, 377-389.
25. Timoshenko S.P., Woinowsky-Krieger S., 1970, Theory of Plates and Shells, McGraw-Hill, New York.
26. Wang C.M., Lee K.H., 1996, Deflection and stress-resultants of axisymmetric Mindlin plates in terms of corresponding Kirchhoff solutions, Int. J. Mech. Sci., 38(11), 1179-1185.
27. Yamanouchi M., Koizumi M., Hirai T., Shiota I. (eds), 1990, Proc. 1st Int. Symp. Functionally Gradient Materials, Japan.
28. Yamaoka H., Yuki M., Tahara K., Irisawa T., Watanabe R., Kawasaki A., Fabrication of functionally gradient material by slurry stacking and sintering process, Ceram. Trans., Funct. Gradient Mater., 34, 165-172.