Abstract
The separation of variables method was successfully, used to resolve the spherically symmetric dynamic thermoelastic problem for a spherically isotropic elastic hollow sphere. Use of the integral transform can be avoided by means of this method, which is also appropriate for an arbitrary thickness hollow sphere subjected to arbitrary thermal and mechanical loads. Numerical results are presented to show the dynamic stress responses in the uniformly heated hollow spheres.
References
Hata, T., 1991a. Stress-focusing effect in a uniformly heated solid sphere.J. Appl. Mech.,58: 58–63.
Hata, T., 1991b. Thermal shock in a hollow sphere caused by rapid uniform heating.J. Appl. Mech.,58: 64–69.
Hata, T., 1993. Stress-focusing effect in a uniformly heated transversely isotropic sphere.Int. J. Solids Struct.,30: 1419–1428.
Pao, Y. H. and Ceranoglu, A. N., 1978. Determination of transient responses of a thick-walled spherical, shell by the ray theory.J. Appl. Mech.,45: 114–122.
Tusi, T. and Kraus, H., 1965. Thermal stress-wave propagation in hollow elastic spheres.J. Acoust. Soc. Am.,37: 730–737.
Wang, X., 2000. Dynamic thermostress-concentration, effect in a spherically isotropic sphere.Acta Mechanica Sinica,32: 245–250 (in Chinese).
Zaker T. A., 1968. Dynamic thermal shock in hollow sphere.Quart. Appl. Math.,26: 503–520.
Author information
Authors and Affiliations
Corresponding author
Additional information
Project supported by the National Natural Science Foundation of China (Nos. 10172075, 10002016)
Rights and permissions
About this article
Cite this article
Hui-ming, W., Hao-jiang, D. & Wei-qiu, C. Theoretical solution of a spherically isotrophic hollow sphere for dynamic thermoelastic problems. J. Zheijang Univ.-Sci. 4, 8–12 (2003). https://doi.org/10.1631/BF02841072
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1631/BF02841072