Abstract
Explicit analytical expressions of all components of the elastic T-stress for an embedded elliptical crack in an infinite elastic body under linearly varying loadings (pressure and shift) on the crack surfaces are obtained in this paper. Previously, many interesting results for embedded elliptical cracks have been obtained, but mainly they have been devoted to determination of the stress intensity factors. In the current paper, formulae for three components of the elastic T-stress are derived by means of the potential method and a special set of harmonic functions. The expressions for the elastic T-stress components for a penny-shaped crack follow from the present results as special cases. It is shown that all components of the elastic T-stress components strongly depend on Poisson’s ratio of the material, a parametric angle, the ratio of the semiaxes of the ellipse, and the type of loading.
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