Engineering Transactions, 23, 2, pp. 263-273, 1975

Quasi-Static Thermal Stresses in an Infinite Slab

K. Sakaino
Mechanical Engineering II, Tohoku University, Sendai
Japan

A. Atsumi
Mechanical Engineering II, Tohoku University, Sendai
Japan

This paper deals with two thermoelastic problems of an infinite slab with or without a cylindrical hole. The thermal stress distribution which arises in a slab if a circular region of the plane boundary (Case A), or a cylindrical boundary (Case B) undergoes a sudden temperature change, is analysed using a thermoelastic potential and a stress function. In both cases, it is considered and graphically shown how the ratio of the radius of the heated circular region, or cylindrical hole, to the plate thickness affects the thermal stress distribution.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

M. P. HEISLER, J. Appl. Mech., Ser. E., 20, 261, 1953.

R. MUKI, Trans. Japan Soc. Mech. Engrs., 22, 795, 1956.

T. KOIZUMI, Trans. Japan Soc. Mech. Engrs, 37, 449, 1971.

I. N. SNEDDON, Fourier transforms, p. 159, McGraw-Hill, New York 1951.

H. PARKUS, Instationare Warmespannungen, p. 10. Springer-Verlag, Wien 1959.

H. MIYAMOTO, Theory of three-dimensional elasticity, p. 16, Syokabo, Tokyo 1967.