Analytical thermo-elastodynamic solutions for a nonhomogeneous transversely isotropic hollow sphere

Archive of Applied Mechanics

Volumn 72, Issue 8, 2002, Pages 545-553

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

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Dynamics; Hollow sphere; Separation of variables; Thermoelasticity; Transverse isotropy

Indexed keywords

BOUNDARY CONDITIONS; MATHEMATICAL TRANSFORMATIONS; THERMAL LOAD;

ISOTROPIC HOLLOW SPHERE;

THERMOELASTICITY;

EID: 0036960209     PISSN: 09391533     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00419-002-0225-x     Document Type: Article

References (9)

1. Sternberg, E.; Chakravorty, J.G.: Thermal shock in an elastic body with a spherical cavity. Quart Appl Math 17 (1959) 205-218
2. Tusi, T.; Kraus, H.: Thermal stress-wave propagation in hollow elastic spheres. J Acous Soc Am 37 (1965) 730-737
3. Zaker, T.A.: Dynamic thermal shock in hollow sphere. Quart Appl Math 26 (1968) 503-520
4. Hata, T.: Thermal shock in a hollow sphere caused by rapid uniform heating. ASME J Appl Mech 58 (1991) 64-69
5. Hata, T.: Stress-focusing effect in a uniformly heated solid sphere. ASME J Appl Mech 58 (1991) 58-63
6. Hata, T.: Stress-focusing effect in a uniformly heated transversely isotropic sphere. Int J of Solids Struct 30 (1993) 1419-1428
7. Wang, X.: Dynamic thermostress-concentration effect in a spherically isotropic sphere. Acta Mech Sinica 32 (2000) 245-250 (in Chinese)
8. Abd-Alla, A.M.; Abd-Alla, A.N.; Zeidan, N.A.: Transient thermal stresses in a spherically orthotropic elastic medium with spherical cavity. J Appl Math and Comput 105 (1999) 231-252
9. 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