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Thermoelastic state of a two-component hollow cylinder with edge radial cracks

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Abstract

Stationary two-dimensional axisymmetric problems of thermal conductivity and thermoelasticity for a hollow two-component cylinder with cracks are studied by the method of singular integral equations. The cross section of the cylinder has the form of a circular concentric ring with a layer of another material that also has the form of a concentric ring and contains edge radial cracks. The surfaces of the cylinder are free of stresses. Thermal processes on these surfaces are characterized by temperature conditions of the third kind. Conditions of ideal thermal and mechanical contact are satisfied on the interface of the two media. A numerical solution is obtained for the case where the inner and outer cylindrical surfaces are kept at different constant temperatures. Stress intensity factors near the tip of one or two edge cracks were found for various values of thermal and mechanical characteristics of the cylinder.

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References

  1. M. P. Savruk, N. V. Timoshuk, I. V. Prokopchuk, and P. N. Osiv, “Solution of two-dimensional problems of the theory of elasticity for homogeneous and piecewise homogeneous cracked bodies with a complicated structure by the method of singular integral equations,” in:Abstracts of the Third All-Union Conference on Mixed Problems in the Mechanics of Deformable Bodies (Kharkov, 1985) [in Russian], Kharkov (1985), p. 166.

  2. M. P. Savruk, N. V. Timoshuk, and I. V. Prokopchuk, “Stressed state of a composite two-component ring with cracks,”Probl. Prochn., No. 6, 27–31 (1988).

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  3. A. D. Kovalenko,Fundamentals of Thermoelasticity [in Russian], Naukova Dumka, Kiev (1970).

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Authors
  1. M. P. Savruk
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  2. V. M. Zelenyak
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Additional information

Karpenko Physicomechanical Institute, Ukrainian Academy of Sciences, L'viv. Translated from Fiziko-Khimicheskaya Mekhanika Materialov, Vol. 30, No. 4, pp. 76–80, July – August, 1994.

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Savruk, M.P., Zelenyak, V.M. Thermoelastic state of a two-component hollow cylinder with edge radial cracks. Mater Sci 30, 470–474 (1995). https://doi.org/10.1007/BF00558841

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  • DOI: https://doi.org/10.1007/BF00558841

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