Green's function approach to three-dimensional heat conduction equation of functionally graded materials

Journal of Thermal Stresses

Volumn 24, Issue 5, 2001, Pages 457-477

  Kim, Kui Seob ^a,b   Noda, Naotake ^b  

^a Inha Technical College   (South Korea)

^b SHIZUOKA UNIVERSITY   (Japan)

Author keywords

Functionally graded materials; Green's function; Laminate theory; Three dimensional transient temperature

Indexed keywords

EID: 0035612283     PISSN: 01495739     EISSN: None     Source Type: Journal    
DOI: 10.1080/01495730151126113     Document Type: Article

References (8)

1. Y. Obata and N. Noda, Unsteady Thermal Stresses in a Functionally Gradient Material Plate (Analysis of One-dimensional Unsteady Heat Transfer Problem), Trans Japan Soc Mech Eng. Ser. A, vol. 59, pp. 1090-1096, 1993. (Japanese)
2. Y. Obata and N. Noda, Steady Thermal Stresses in a Hollow Circular Cylinder and a Hollow Sphere of a Functionally Gradient Material, J. Thermal Stresses, vol. 17, pp. 471-487, 1994.
3. Y. Tanigawa, Some Basic Thermoelastic Problems for Nonhomogeneous Structural Materials, Trans. ASME, J. Appl. Mech , vol. 48, pp. 287-300, 1995.
4. Y. Ootao and Y. Tanigawa, Three Dimensional Transient Thermal Stress Analysis of a Nonhomogeneous Hollow Sphere with Respect to Rotating Heat Source, Trans. Japan Soc. Mech. Eng. Ser. A, vol. 60, pp. 2273-2279, 1994. (Japanese)
5. Y. Tanigawa, T. Akai, R. Kawamura, and N. Oka, Transient Heat Conduction and Thermal Stress Problems of a Nonhomogeneous Plate with Temperature-dependent Material Properties, J. Thermal Stresses, vol. 19, pp. 77-102, 1996.
6. R. Diaz and S Nomura, Numerical Green's Function Approach to Finite-sized Plate Analysis, Int J. Solids Struct , vol. 33, pp. 4215-4222, 1996
7. S. Nomura and D. M. Sheahen, Green's Function Approach to the Analysis of Functionally Graded Materials, ASME, vol MD-80, pp. 19-23, 1997.
8. J. V. Beck, K. D. Cole, A. Haji-Sheikh, and B. Litkouki, Heat Conduction Using Green's Functions, pp. 353-356, Hemisphere Publishing Co., Washington DC, 1992.