Vibrations of a solid sphere or shell of Functionally Graded Materials

European Journal of Mechanics, A/Solids

Volumn 27, Issue 3, 2008, Pages 460-468

  Singh, B M ^a   Rokne, J ^a   Dhaliwal, R S ^a  

^a UNIVERSITY OF CALGARY   (Canada)

Author keywords

Confluent hypergeometric functions; Frequency equations; Functioally graded materials; Non homogeneous materials; Shear wave velocity

Indexed keywords

ACOUSTIC WAVE VELOCITY; FUNCTIONAL ANALYSIS; SHEAR WAVES; VIBRATIONAL SPECTRA; WAVE EQUATIONS;

CONFLUENT HYPERGEOMETRIC FUNCTIONS; FREQUENCY EQUATIONS; NONHOMOGENEOUS MATERIALS; SHEAR WAVE VELOCITY;

FUNCTIONALLY GRADED MATERIALS;

EID: 41649084126     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2007.08.006     Document Type: Article

References (11)

1. Arkani-Hamed J. On the free oscillations of a laterally heterogeneous earth model. Pure Appl. Geophys. 95 (1972) 5-17
2. Erdelyi A., Magnus M., Oberhettinger F., and Tricomi F.G. Higher Transcendental Functions, vol. 3 (1953), McGraw-Hill, New York
3. Erdogan F. Fracture mechanics of functionally graded materials. Composite Engrg. 5 (1995) 753-770
4. Horgan C.O., and Chan A.M. Torsion of functionally graded isotropic linearly elastic bars. J. Elasticity 52 (1999) 181-199
5. Horgan C.O., and Quintanilla R. Spatial decay of transient end effects in functionally graded heat conducting materials. Quart. Appl. Math. 59 (2001) 529-542
6. Love A.E.H. Treatise on the Mathematical Theory of Elasticity (1944), Dover Publications, New York
7. Luh P.C. Free oscillations of the laterally inhomogeneous earth: quasi-degenerate multiple coupling. Geophys. J. Roy. Astron. Soc. 28 (1973) 187-202
8. Madariaga R.I. Toroidal free oscillations of the laterally heterogeneous earth. Geophys. J. Roy. Astron. Soc. 27 (1972) 18-100
9. Saito M. Theory for the elastic gravitational oscillations for a laterally heterogeneous earth. J. Phys. Earth 19 (1971) 259-270
10. Singh B.M., Singh S.J., and Chopra S.D. Reflection and refraction of SH waves at the plane boundary between two laterally and vertically heterogeneous solids. Acta Geophysica Polonica 26 (1978) 209-219
11. Singh B.M., Singh S.J., Chopra S.D., and Gogna M.L. On Love waves in laterally and vertically heterogeneous layered media. Geophys. J. Roy. Astron. Soc. (London) 45 (1976) 357-370