THERMAL STRESSES IN A SPHERICAL SHELL UNDER THREE THERMOELASTIC MODELS
Titel:
THERMAL STRESSES IN A SPHERICAL SHELL UNDER THREE THERMOELASTIC MODELS
Auteur:
Jordan, P. M. Puri, P.
Verschenen in:
Journal of thermal stresses
Paginering:
Jaargang 24 (2001) nr. 1 pagina's 47-70
Jaar:
2001-01-01
Inhoud:
The problem of dynamic thermoelastic stresses in a spherical shell with fixed boundaries whose inner surface is subjected to a step jump in temperature is considered. The analysis is carried out in the uncoupled framework under the classical Lord and Shulman (1967) and Green and Lindsay (1972) formulations of thermoelasticity. Exact solutions for the temperature and displacement equations are obtained using the Laplace transform and eigenfunction expansion method, respectively. Of particular interest is the propagation and nature of discontinuities in the temperature, displacement, and stress fields that are possible under the two nonclassical theories. Exact expressions for the magnitudes of discontinuities in these quantities are also given, and shock waves are noted. Numerical results are presented graphically along with a comparison of the three models. In addition, special and limiting cases of the physical parameters are investigated and the application of this research to fuel vessels used in rocket engine testing are noted. Lastly, a discussion concerning which of the three theories is the most physically acceptable is given, with the Lord and Shulman formulation emerging as the clear overall choice, and conclusions are stated.
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