Summary
The spherically symmetric dynamic thermoelastic problem for a special nonhomogeneous transversely isotropic elastic hollow sphere is formulated by introduction of a dependent variable and separation of variables technique. The derived solution can be degenerated into that for a homogeneous transversely isotropic hollow sphere, a nonhomogeneous isotropic hollow sphere or a solid sphere. The present method, allow to avoid integral transforms, is suited for a hollow sphere of arbitrary thickness subjected to arbitrary spherical symmetric thermal and mechanical loads, and is convenient in dealing with different boundary conditions of dynamic thermoelasticity . The numerical calculation involved is easy to be performed and its results are also presented.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Additional information
Received 30 October 2001; accepted for publication 21 February 2002
The work was supported by the National Natural Science Foundation of China (No. 10172075 and No. 10002016)
Rights and permissions
About this article
Cite this article
Ding, H., Wang, H. & Chen, W. Analytical thermo-elastodynamic solutions for a nonhomogeneous transversely isotropic hollow sphere. Archive of Applied Mechanics 72, 545–553 (2002). https://doi.org/10.1007/s00419-002-0225-x
Issue Date:
DOI: https://doi.org/10.1007/s00419-002-0225-x