Thermal stresses in axially connected circular cylinders

Abstract

Experimental and theoretical investigations are reported concerning the stresses and deflections which occur in a composite cylinder due to a uniform rise in temperature. The composite cylinder consists of two solid circular cylinders, made of dissimilar materials but having the same diameter, which are stuck together so that their axes coincide. The interface between the two cylinders is a plane prependicular to their axes, and the lengths of both parts of the composite cylinder can vary. The composite cylinder is assumed to be free of stress initially.

Theoretical results have been obtained by use of infinite-difference approximations to the governing equations and an iterative technique involving successive over-relaxation. These have been compared with experimental results obtained by a special application of the frozen-stress technique of photoelasticity.

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References

Gilles

D. C.

‘The use of interlacing nets for the application of relaxation methods to problems involving two dependent variables’, Proc. R. Soc. Series A 1948, 193, 407–433.

Leven

M. M.

Sampson

R. C.

‘Photoelastic stress and deformation analysis of nuclear components’, Proc. Soc. exp. Stress Analysis 1959 17 (No. 1), 161–180.

Khesin

G. L.

Strelchuk

N. A.

Shvey

E. M.

Savostyanov

V. N.

‘Thermoelastic stress research by the method of “unfreezing” free thermal strains’, Experimental stress analysis and its influence on design (4th Int. Conf., 1970), 1971, 436–444 (Institution of Mechanical Engineers, London).

Carre

B. A.

‘The determination of the optimum accelerating factor for successive over-relaxation’, Comput. J. 1961 4, 73–78.

Young

D. M.

‘Iterative methods for solving partial differential equations of the elliptic type’, Trans. Am. Math. Soc. 1954 76, 92–111.

Frocht

M. M.

Guernsey

‘The application of the shear difference method to general space problems’, Proc. 1st U.S. natn. Congr. appl. Mech., 1951, 301–307.

Warren

W. E.

Roark

A. L.

Bickford

W. B.

‘End effect in semi-infinite cylinders’, A.I.A.A.J. 1967 5, 1448–1455.