Abstract

This paper contains exact solutions for the transient temperature distribution and the associated thermal stresses which arise in a tube of brittle material subjected to a sudden change of thermal conditions at either or both the inner and outer wall. Weibull's statistical theory of strength is adapted for computing the reliability of the tube subjected to thermal shock. Analysis indicates that this calculation technique gives a more realistic prediction of the resistance of brittle tubes to thermal shock than does the conventional maximum stress theory of fracture. The solutions given are in the form of infinite series and extensive illustrative numerical results are included. The solutions are pertinent to problems which occur in modern high temperature nuclear reactor and rocket engine components.

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