Elastodynamic solution for the thermal shock stresses m in an orthotrop c thick cylindrical shell

Journal of Applied Mechanics, Transactions ASME

Volumn 65, Issue 1, 1998, Pages 184-193

  Cho, H ^a   Kardomateas, G A ^a   Valle, C S ^a  

^a Georgia Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001446029     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2789024     Document Type: Article

References (25)

1. Abramowitz, M., and Stegun, I. A., 1972, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Dover, New York.
2. Achenbach, J. D., 1973, Wave Propagation in Elastic Solids, North-Holland, Amsterdam.
3. Birman, V., 1990, “Thermal Dynamic Problems of Reinforced Composite Cylinders,” ASME Journal of Applied Mechanics, Vol. 57, pp. 941-947.
4. Churchill, R. V., 1972, Operational Mathematics, 3rd. ed., McGraw-Hill, New York.
5. Cinelli, G., 1965, “An Extension of the Finite Hankel Transform and Applications,” International Journal of Engineering Science, Vol. 3, pp. 539-559.
6. Cinelli, G., 1966, “Dynamic Vibrations and Stresses in Elastic Cylinders and Spheres,” ASME Journal of Applied Mechanics, Vol. 33, pp. 825-830.
7. Doxee, Jr., L. E., and Springer, G. S., 1989, “Hydrothermal Stresses and Strains in Axisymmetric Composite Shells,” Computers and Structures, Vol. 32, No. 2, pp. 395-407.
8. Eringen, A. C., and Suhubi, E. S., 1975, Elasto dynamics (Vol. 2, Linear Theory), Academic Press, New York.
9. Graff, K. F., 1975, Wave Motion in Elastic Solids, Ohio State University Press, Columbus, OH.
10. Hata, T., 1991, “Thermal Shock in a Hollow Sphere Caused by Rapid Uniform Heating,” ASME Journal of Applied Mechanics, Vol. 58, pp. 64-69.
11. Hyer, M. W., and Cooper, D. E., 1986, “Stresses and Deformations in Composite Tubes due to a Circumferential Temperature Gradient,” ASME Journal of Applied Mechanics, Vol. 53, pp. 757-764.
12. Kardomateas, G. A., 1989, “Transient Thermal Stresses in Cylindrically Orthotropic Composite Tubes,” ASME Journal, of Applied Mechanics, Vol. 56, pp. 411-417; also Errata,1991, Vol. 58, p. 909.
13. Kardomateas, G. A., 1990, “The Initial Phase of Transient Thermal Stresses due to General Boundary Thermal Loads in Orthotropic Hollow Cylinders,” ASME Journal of Applied Mechanics, Vol. 57, pp. 719-724; also Errata, 1991, Vol. 58, p. 909.
14. Lebedev, N. N., 1972, Special Functions and their Applications, Dover, New York.
15. Lekhinitskii, S. G., 1981, Theory of Elasticity of an Anisotropic Body, Mir Publishers, Moscow.
16. McLachan, N. W., 1934, Bessel Functions for Engineers, Oxford, London
17. McQuillen, E. J., and Brull, M. A., 1970, “Dynamic Thermo elastic Response of Cylindrical Shells,” ASME Journal of Applied Mechanics, Vol. 37, pp. 661-670.
18. Sciuva, M. D., and Carrera, E., 1992, “Elasto dynamic Behavior of Relatively Thick, Symmetrically Laminated, Anisotropic Circular Cylindrical Shells,” ASME Journal of Applied Mechanics, Vol. 59, pp. 222-224.
19. Sneddon, I. N., 1995, Fourier Transforms, Dover, New York (original printed in 1951).
20. Sternberg, E., and Chakravorty, J.G., 1959, “Thermal Shock in an Elastic Body with a Spherical Cavity,” Quart. Applied Mathematics, Vol. 17, pp. 205-218.
21. Tsui T., and Kraus H., 1965, “Thermal Stress Wave Propagation in Hollow Elastic Spheres,” Journal of the Acoustical Society of America, Vol. 37, pp. 730-737.
22. Wang, X., and Gong, X. N., 1992, “An Elasto dynamic Solution for Multilayered Cylinders,” International Journal of Engineering Science, Vol. 30, No. 1, pp. 25-33.
23. Wang, X., 1995, “Thermal Shock in a Hollow Cylinder Caused by Rapid Arbitrary Heating,” Journal of Sound and Vibration, Vol. 183, No. 5, pp. 899-906.
24. Wang, X., 1993, “Stress Wave Propagation in a Two Layered Cylinder with Initial Interface Pressure,” International Journal of Solids and Structures, Vol. 30, No. 12, pp. 1693-1700.
25. Zaker, T. A, 1969, “Dynamic Thermal Shock in a Hollow Sphere,” Quart. Applied Mathematics, Vol. 26, pp. 503-518.