Elastodynamic solution for spherically symmetric problems of a multilayered hollow sphere

Archive of Applied Mechanics

Volumn 73, Issue 11-12, 2004, Pages 753-768

  Ding, H J ^a   Wang, H M ^a   Chen, W Q ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Elastodynamic solution; Hollow sphere; Multilayered body; Spherical isotropy

Indexed keywords

LOADING; MULTILAYERS; SHELLS (STRUCTURES); STIFFNESS; STRENGTH OF MATERIALS; SURFACE PHENOMENA; VIBRATIONS (MECHANICAL);

ELASTODYNAMIC SOLUTIONS; HOLLOW SPHERE; MULTILAYERED BODY; SPHERICAL ISOTROPY;

ELASTICITY;

EID: 3042758499     PISSN: 09391533     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00419-003-0318-1     Document Type: Article

References (19)

1. Hutch, J.H.; Cole J.D.: Elastic-stress waves produced by pressure loads on a spherical shell. ASME J Appl Mech 22 (1955) 473-478
2. Baker, W.E.; Hu, W.C.L.; Jackson, T.R.; Elastic response of thin spherical shells to axisymmetric blast loading. ASME J Appl Mech 33 (1966) 800-806
3. Chou, P.C.; Koenig, H.A.: A unified approach to cylindrical and spherical elastic waves by method of characters. ASME J Appl Mech 33 (1966) 159-167
4. Cinelli, G.: Dynamic vibrations and stresses in elastic cylinders and spheres. ASME J Appl Mech 33 (1966) 825-830
5. Rose, J.L.; Chou, S.C.; Chou, P.C.: Vibration analysis of thick-walled spheres and cylinders. J Acoust Soc Am 53 (1973) 771-776
6. Pao, Y.H.; Ceranoglu, A.N.: Determination of transient responses of a thick-walled spherical shell by the ray theory. ASME J Appl Mech 45 (1978) 114-122
7. Wang, X.: An elastodynamic solution for an anisotropic hollow sphere. Int J Solids Struct 31 (1994) 903-911
8. Sharma, C.B.; Darvizeh, M.; Darvizeh, A.: Free vibration responses of multilayered orthotropic fluid-filled circular cylindrical shells. Compos Struct 34 (1996) 349-355
9. Kardomateas, G.A.: Elasticity solutions for sandwich orthotropic cylindrical shells under external/Internal pressure or axial force. AIAA J 39 (2001) 713-719
10. Wang, X.; Gong, Y.N.: An elastodynamic solution for multilayered cylinders. Int J Engng Sci 30 (1992) 25-33
11. Wang, X.: Stress wave propagation in a two-layered cylinder with initial interface pressure. Int J Solids Struct 30 (1993) 1693-1700
12. Yin, X.C.; Yue, Z.Q.: Transient plane-strain response of multilayered elastic cylinders to axisymmetric impulse. ASME J Appl Mech 69 (2002) 825-835
13. Bufler, H.: The arbitrarily and the periodically laminated elastic hollow sphere: exact solutions and homogenization. Arch Appl Mech 68 (1998) 579-588
14. Jiang, H.; Young, P.G.; Dickinson, S.M.: Natural frequencies of vibration of layered hollow spheres using exact three-dimensional elasticity equations. J Sound Vib 195 (1996) 155-162
15. Chen, W.Q.; Ding, H.J.; Free vibration of multilayered spherically isotropic hollow spheres. Int J Mech Sci 43 (2001) 667-680
16. Stavsky, Y.; Greenberg, J.B.: Radial vibrations of orthotropic laminated hollow spheres. J Acoust Soc Am 113 (2003) 847-851
17. Vlasov, V.Z.; Leontev, N.N.: Beams, plates and shells on elastic foundations. NASA TTF-357, TT65-50135 New York (1966)
18. Bufler, H.: Theory of elasticity of a multilayered medium. J Elast 1 (1971) 125-143
19. Wang, X.; Lu, G.; Guillow, S.R.: Stress wave propagation in orthotropic laminated Thick-walled spherical shells. Int J Solids Struct 39 (2002) 4027-4037