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Title: Thermal stresses in an initially stressed circular cylinder with a smooth rigid insulating cover on the curved surface (English)
Author: Ghosh, Subhash Chandra
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 15
Issue: 5
Year: 1970
Pages: 310-320
Summary lang: English
Summary lang: Czech
Category: math
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. ()
MSC: 74B10
MSC: 74B99
MSC: 74H99
idZBL: Zbl 0218.73016
DOI: 10.21136/AM.1970.103302
Date available: 2008-05-20T17:48:38Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] Green A. E., Rivlin R. S., Shield R. T.: General theory of small elastic deformations superposed on finite elastic deformations.Proc. Roy. SOC. A. 211 (1962), pp. 128-154. MR 0047486
Reference: [2] Green A. E., Zerna W.: Theoretical Elasticity.(1954) Oxford Clarendon Press. Zbl 0056.18205, MR 0064598
Reference: [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
Reference: [4] Green A. E., Adkins A. E.: Large Elastic deformation.(1960), Oxford Clarendon Press.
Reference: [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
Reference: [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.
Reference: [7] Watson G. N.: A treatise on the theory of Bessel Functions.2nd Edn. Cambridge University Press. Zbl 0849.33001, MR 1349110


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