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Summary:
The expressions for the thermal stresses in an initially stressed isotropic finite cylinder with a smooth rigid insulating cover on the curved surface have been obtained when the plane ends of the cylinder have prescribed temperature distributions. Numerical results have also been deduced showing the variation of $[t_{00}]_{r=1}$ for the particular material known as Mooney type material when the temperature distributions on the plane ends are either constant of paraboloidal.
References:
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[2] Green A. E., Zerna W.: Theoretical Elasticity. (1954) Oxford Clarendon Press. MR 0064598 | Zbl 0056.18205
[3] England A. H., Green A. E.: Steady-State thermoelasticity for initially stressed bodies. Phil. Trans. Roy. Soc. London. Vol 253 No. 1034 (1961), pp. 517-542. MR 0137402
[4] Green A. E., Adkins A. E.: Large Elastic deformation. (1960), Oxford Clarendon Press.
[5] Das B.: Thermal Stresses in an aeolotropic circular cylinder with a smooth rigid insulating cover on the curved surface. Arch. Mech. Stos. 5.14 (1962), pp. 789-796. Zbl 0109.43104
[6] Bhattacharyya S. P.: On thermal stresses in a semi-infinite initially stressed solid due to prescribed temperature distribution on its surface. Ind. Jour. of Theo. Phys. 5.1 (1967), pp. 13-28.
[7] Watson G. N.: A treatise on the theory of Bessel Functions. 2nd Edn. Cambridge University Press. MR 1349110 | Zbl 0849.33001
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