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Thermal stresses in a transversely isotropic layer containing an annular crack. Tensile- and shear-type crack. (English) Zbl 0589.73009

The author has studied the problem of finding the distribution of thermal stresses in a transversely isotropic layer containing an annular crack. Both the symmetrical and two cases of anti-symmetrical thermal loadings have been considered. In the symmetrical loading the crack is opened by the application of constant temperature on the crack surfaces and the flux of heat outside the crack is zero. While for the anti-symmetrical loading the cases, when a prescribed temperature is applied to the surfaces of the layer and when uniform heat flow is disturbed by an insulated annular crack, have been studied. By the application of Hankel transform technique the problems have been reduced to that of solving triple integral equations. Series solutions of these equations have been obtained. The solutions are used for deriving expressions for crack shapes, normal and shearing thermal stress in the plane of the crack and for stress intensity factors for mode I and mode II. Results showing the effect of physical properties of the material on stress intensity factors are illustrated graphically.
Reviewer: K.N.Srivastava

MSC:

74F05 Thermal effects in solid mechanics
74R05 Brittle damage
74E10 Anisotropy in solid mechanics
74G70 Stress concentrations, singularities in solid mechanics
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