Stress distribution in a rotating elastic functionally graded material hollow sphere with spherical isotropy

Journal of Strain Analysis for Engineering Design

Volumn 35, Issue 1, 2000, Pages 13-20

  Chen, W Q ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; HARMONIC ANALYSIS; ORDINARY DIFFERENTIAL EQUATIONS; STRESS CONCENTRATION;

FUNCTIONALLY GRADED MATERIALS (FGM); MASS DENSITY; SPHERICAL ISOTROPY;

STRAIN;

EID: 0033874238     PISSN: 03093247     EISSN: None     Source Type: Journal    
DOI: 10.1243/0309324001513973     Document Type: Article

References (14)

1. Timoshenko, S. P. and Woinowsky-Krieger, S. Theory of Plates and Shells, 2nd edition, 1959 (McGraw-Hill, New York).
2. Flugge, W. Stress in Shells, 2nd edition, 1990 (Springer-Verlag, Berlin).
3. Goldberg, M. A., Salerno, V. L. and Sadowsky, M. A. Stress distribution in a rotating spherical shell of arbitrary thickness. Trans. ASME, J. Appl. Mechanics, 1961, 28(1), 127-131.
4. Chen, W. T. On some problems in spherically isotropic elastic materials. Trans. ASME, J. Appl. Mechanics, 1966, 33(3), 539-546.
5. Hu, H. C. On the general theory of elasticity for a spherically isotropic medium. Acta Scientia Sinica, 1954, 3(3), 247-260.
6. Raju, P. P. On shallow shells of transversely isotropic materials. Trans. ASME, J. Pressure Vessel Technology, 1975, 97(3), 185-191.
7. Tohgo, K., Sakaguchi, M. and Ishii, H. Applicability of fracture mechanics in strength evaluation of functionally graded materials. Jap. Soc. Mech. Engrs Int. J., 1996, 39(4), 479-488.
8. Takezono, S., Tao, K., Inamura, E. and Inoue, M. Thermal stress and deformation in functionally graded material shells of revolution under thermal loading due to fluid. Jap. Soc. Mech. Engrs Int. J., 1996, 39(4), 573-581.
9. Tanigawa, Y., Matsumoto, M. and Akai, T. Optimization of material composition to minimize thermal stresses in non-homogeneous plate subjected to unsteady heat supply. Jap. Soc. Mech. Engrs Int. J., 1997, 40(1), 84-93.
10. Maiti, M. Stresses in anisotropic nonhomogeneous sphere. J. Engng Mechanics, 1975, 101(1), 101-108.
11. Puro, A. E. Variable separation in elasticity-theory equations for spherically transversely isotropic inhomogeneous bodies. Soviet Appl. Mechanics, 1980, 16(2), 117-120.
12. Ding, H. J. and Chen, W. Q. Natural frequencies of an elastic spherically isotropic hollow sphere submerged in a compressible fluid medium. J. Sound Vibr., 1996, 192(1), 173-198.
13. Cohen, H., Shah, A. H. and Ramakrishnan, C. V. Free vibrations of a spherically isotropic hollow sphere. Acustica, 1972, 26(6), 329-333.
14. Lekhnitskii, S. G. Theory of Elasticity of an Anisotropic Elastic Body, 1981 (Mir, Moscow).