Elastic T-stress solutions for flat elliptical cracks under tension and bending |
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Authors: | VS Kirilyuk OI Levchuk |
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Affiliation: | S.P. Timoshenko Institute of Mechanics, National Academy of Science of Ukraine, Nesterova Str. 3, 03057 Kiev, Ukraine |
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Abstract: | Exact solutions for elastic T-stress of a flat elliptical crack in an infinite body under tension and bending are obtained in this paper. Many papers have been devoted to the problems for elliptical cracks in an elastic medium, but all their attention has been concentrated on the determination of stress intensity factors. In the current paper, elastic T-stress solutions are derived by means of the potential method and a specific collection of harmonic functions. The formulas of the elastic T-stress for a penny-shaped crack Wang X. Elastic T-stress solutions for penny-shaped cracks under tension and bending. Engng Fract Mech 2004;71:2283-98] follow from the present results as a special case. It is obtained that under tension loading, the elastic T-stress is always compressive along the elliptical crack front. In both tension and bending cases, T-stress essentially depends on the Poisson’s ratio of the material, a parametric angle and semi-axes of the ellipse. |
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Keywords: | Elastic T-stress Constraint effects Flat elliptical crack Potential method Stress intensity factors |
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